Bartleby Sitemap - Textbook Solutions
All Textbook Solutions for Elementary Algebra
In the following exercises, solve by using the Quadratic Formula. 129. 2x2+12x3=0In the following exercises, solve by using the Quadratic Formula. 130. 16y2+8y+1=0In the following exercises, determine the number of solutions to each quadratic equation. 131. (a) 4x25x+16=0 (b) 36y2+36y+9=0 (c) 6m2+3m5=0 (d) 18n27n+3=0In the following exercises, determine the number of solutions to each quadratic equation. 132. (a) 9v215v+25=0 (b)100w2+60w+9=0 (c) 5c2+7c10=0 (d) 15d24d+8=0In the following exercises, determine the number of solutions to each quadratic equation. 133. (a) r2+12r+36=0 (b) 8t211t+5=0 (c) 4u212u+9=0 (d) 3v25v1=0In the following exercises, determine the number of solutions to each quadratic equation. 134. (a) 25p2+10p+1=0 (b) 7q23q6=0 (c) 7y2+2y+8=0 (d) 25z260z+36=0In the following exercises, identify the most appropriate method (Factoring, Square Root, or Quadratic Formula) to use to solve each quadratic equation. Do not solve. 135. (a) x25x24=0 (b) (y+5)2=12 (c) 14m2+3m=11In the following exercises, identify the most appropriate method (Factoring, Square Root, or Quadratic Formula) to use to solve each quadratic equation. Do not solve. 136. (a) (8v+3)2=81 (b) w29w22=0 (c) 4n210=6In the following exercises, identify the most appropriate method (Factoring, Square Root, or Quadratic Formula) to use to solve each quadratic equation. Do not solve. 137. (a) 6a2+14=20 (b) (x14)2=516 (c) y22y=8In the following exercises, identify the most appropriate method (Factoring, Square Root, or Quadratic Formula) to use to solve each quadratic equation. Do not solve. 138. (a) 8b2+15b=4 (b) 59v223v=1 (c) (w+43)2=29A flare is fired straight up from a ship at sea. Solve the equation 16(t213t+40)=0 for t, the numberof seconds it will take for the flare to be at an altitude of 640 feet.An architect is designing a hotel lobby. She wants to have a triangular window looking out to an atrium, with the width of the window 6 feet more than the height. Due to energy restrictions, the area of the window must be 140 square feet. Solve the equation 12h2+3h=140 for h, the height of the window.Solve the equation x2+10x=200 (a) by completing the square (b) using the Quadratic Formula (c) Which method do you prefer? Why?Solve the equation 12y2+23y=24 (a) by completing the square (b) using the Quadratic Formula (c) Which method do you prefer? Why?The product of two consecutive odd integers is 99. Find the integers.The product of two consecutive odd integers is 168. Find the integers.Find the dimensions of a triangle whose width is four more than six times its height and has an area of 208 square inches.If a triangle that has an area of 110 square feet has a height that is two feet less than twice the width, what are its dimensions?The sun casts a shadow from a flag pole. The height of the flag pole is three times the length of its shadow. The distance between the end of the shadow and the top of the flag pole is 20 feet. Find the length of the shadow and the length of the flag pole. Round to the nearest tenth of a foot.The distance between opposite corners of a rectangular field is four more than the width of the field. The length of the field is twice its width. Find the distance between the opposite corners. Round to the nearest tenth.The length of a 200 square foot rectangular vegetable garden is four feet less than twice the width. Find the length and width of the garden. Round to the nearest tenth of a foot.A rectangular tablecloth has an area of 80 square feet. The width is 5 feet shorter than the length. What are the length and width of the tablecloth? Round to the nearest tenth of a foot.An arrow is shot from the ground into the air at an initial speed of 108 ft/sec. Use the formula h=16t2+v0t to determine when the arrow will be 180 feet from the ground. Round the nearest tenth of a second.A man throws a ball into the air with a velocity of 96 ft/sec. Use the formula h=16t2+v0t to determine when the height of the ball will be 48 feet. Round to the nearest tenth of a second.In the following exercises, solve by using methods of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth. 143. The product of two consecutive odd numbers is 255. Find the numbers.In the following exercises, solve by using methods of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth. 144. The product of two consecutive even numbers is 360. Find the numbers.In the following exercises, solve by using methods of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth. 145. The product of two consecutive even numbers is 624. Find the numbers.In the following exercises, solve by using methods of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth. 146. The product of two consecutive odd numbers is 1023. Find the numbers.In the following exercises, solve by using methods of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth. 147. The product of two consecutive odd numbers is 483. Find the numbers.In the following exercises, solve by using methods of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth. 148. The product of two consecutive even numbers is 528. Find the numbers.In the following exercises, solve by using methods of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth. 149. A triangle with area 45 square inches has a height that is two less than four times the width. Find the height and width of the triangle.In the following exercises, solve by using methods of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth. 150. The width of a triangle is six more than twice the height. The area of the triangle is 88 square yards. Find the height and width of the triangle.In the following exercises, solve by using methods of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth. 151. The hypotenuse of a right triangle is twice the length of one of its legs. The length of the other leg is three feet. Find the lengths of the three sides of the triangle.In the following exercises, solve by using methods of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth. 152. The hypotenuse of a right triangle is 10 cm long. One of the triangle’s legs is three times the length of the other leg. Round to the nearest tenth. Find the lengths of the three sides of the triangle.In the following exercises, solve by using methods of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth. 153. A farmer plans to fence off sections of a rectangular corral. The diagonal distance from one corner of the corral to the opposite corner is five yards longer than the width of the corral. The length of the corral is three times the width. Find the length of the diagonal of the corral.In the following exercises, solve by using methods of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth. 154. Nautical flags are used to represent letters of the alphabet. The flag for the letter O consists of a yellow right triangle and a red right triangle which are sewn together along their hypotenuse to form a square. The adjoining side of the two triangles is three inches longer than a side of the flag. Find the length of the side of the flag.In the following exercises, solve by using methods of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth. 155. The length of a rectangular driveway is five feet more than three times the width. The area is 350 square feet. Find the length and width of the driveway.In the following exercises, solve by using methods of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth. 156. A rectangular lawn has area 140 square yards. Its width that is six less than twice the length. What are the length and width of the lawn?In the following exercises, solve by using methods of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth. 157. A firework rocket is shot upward at a rate of 640 ft/sec. Use the projectile formula h=16t2+v0t to determine when the height of the firework rocket will be 1200 feet.In the following exercises, solve by using methods of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth. 158. An arrow is shot vertically upward at a rate of 220 feet per second. Use the projectile formula h=16t2+v0t to determinewhen height of the arrow will be 400 feet.A bullet is fired straight up from a BB gun with initial velocity 1120 feet per second at an initial height of 8 feet. Use the formula h=16t2+v0t+8 to determine how many seconds it will take for the bullet to hit the ground. (That is, when will h=0 ?)A city planner wants to build a bridge across a lake in a park. To find the length of the bridge, he makes a right triangle with one leg and the hypotenuse on land and the bridge as the other leg. The length of the hypotenuse is 340 feet and the leg is 160 feet. Find the length of the bridge.Make up a problem involving the product of two consecutive odd integers. Start by choosing two consecutive odd integers. (a) What are your integers? (b) What is the product of your integers? (c) Solve the equation n(n+2)=p , where p is the product you found in part (b). (d) Did you get the numbers you started with?Make up a problem involving the product of two consecutive even integers. Start by choosing two consecutive even integers. (a) What are your integers? (b) What is the product of your integers? (c) Solve the equation n(n+2)=p , where p is the product you found in part (b). (d) Did you get the numbers you started with?Graph y=x2 .Graph y=x2+1 .Determine whether each parabola opens upward or downward: (a) y=2x2+5x2 (b) y=3x24x+7Determine whether each parabola opens upward or downward: (a) y=2x22x3 (b) y=5x22x1 .For the parabola find: (a) the axis of symmetry and (b) the vertex.For the parabola y=2x24x3 find: (a) the axis of symmetry and (b) the vertex.Find the intercepts of the parabola y=x2+2x8 .Find the intercepts of the parabola y=x24x12 .Find the intercepts of the parabola y=3x2+4x+4 .Find the intercepts of the parabola y=x24x5 .Find the intercepts of the parabola y=x212x36 .Find the intercepts of the parabola y=9x2+12x+4 .Graph the parabola y=x2+2x8 .Graph the parabola y=x28x+12 .Graph the parabola y=3x2+12x12 .Graph the parabola y=25x2+10x+1 .Graph the parabola y=2x26x+5 .Graph the parabola y=2x21 .Graph the parabola y=5x2+10x+3 .Graph the parabola y=3x26x+5 .Find the maximum or minimum value of the quadratic equation y=x28x+12 .Find the maximum or minimum value of the quadratic equation y=4x2+16x11 .The quadratic equation h=16t2+128t+32 is used to find the height of a stone thrown upward from a height of 32 feet at a rate of 128 ft/sec. How long will it take for the stone to reach its maximum height? What is the maximum height? Round answers to the nearest tenth.A toy rocket shot upward from the ground at a rate of 208 ft/sec has the quadratic equation of h=16t2+208t . When will the rocket reach its maximum height? What will be the maximum height? Round answers to the nearest tenth.In the following exercises, graph: 163. y=x2+3In the following exercises, graph: 164. y=x2+1In the following exercises, determine if the parabola opens up or down. 165. y=2x26x7In the following exercises, determine if the parabola opens up or down. 166. y=6x2+2x+3In the following exercises, determine if the parabola opens up or down. 167. y=4x2+x4In the following exercises, determine if the parabola opens up or down. 168. y=9x224x16In the following exercises, find (a) the axis of symmetry and (b) the vertex. 169. y=x2+8x1In the following exercises, find (a) the axis of symmetry and (b) the vertex. 170. y=x2+10x+25In the following exercises, find (a) the axis of symmetry and (b) the vertex. 171. y=x2+2x+5In the following exercises, find (a) the axis of symmetry and (b) the vertex. 172. y=2x28x3In the following exercises, find the x- and y-intercepts. 173. y=x2+7x+6In the following exercises, find the x- and y-intercepts. 174. y=x2+10x11In the following exercises, find the x- and y-intercepts. 175. y=x2+8x19In the following exercises, find the x- and y-intercepts. 176. y=x2+6x+13In the following exercises, find the x- and y-intercepts. 177. y=4x220x+25In the following exercises, find the x- and y-intercepts. 178. y=x214x49In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 179. y=x2+6x+5In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 180. y=x2+4x12In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 181. y=x2+4x+3In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 182. y=x26x+8In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 183. y=9x2+12x+4In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 184. y=x2+8x16In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 185. y=x2+2x7In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 186. y=5x2+2In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 187. y=2x24x+1In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 188. y=3x26x1In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 189. y=2x24x+2In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 190. y=4x26x2In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 191. y=x24x+2In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 192. y=x2+6x+8In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 193. y=5x210x+8In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 194. y=16x2+24x9In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 195. y=3x2+18x+20In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 196. y=2x2+8x10In the following exercises, find the maximum or minimum value. 197. y=2x2+x1In the following exercises, find the maximum or minimum value. 198. y=4x2+12x5In the following exercises, find the maximum or minimum value. 199. y=x26x+15In the following exercises, find the maximum or minimum value. 200. y=x2+4x5In the following exercises, find the maximum or minimum value. 201. y=9x2+16In the following exercises, find the maximum or minimum value. 202. y=4x249In the following exercises, solve. Round answers to the nearest tenth. 203. An arrow is shot vertically upward from a platform 45 feet high at a rate of 168 ft/sec. Use the quadratic equation h=16t2+168t+45 to find how long it will take the arrow to reach its maximum height, and then find the maximum height.In the following exercises, solve. Round answers to the nearest tenth. 204. A stone is thrown vertically upward from a platform that is 20 feet high at a rate of 160 ft/sec. Use the quadratic equation h=16t2+160t+20 to find how long it will take the stone to reach its maximum height, and then find the maximum height.In the following exercises, solve. Round answers to the nearest tenth. 205. A computer store owner estimates that by charging x dollars each for a certain computer, he can sell 40x computers each week. The quadratic equation R=x2+40x is used to find the revenue, R, received when the selling price of a computer is x. Find the selling price that will give him the maximum revenue, and then find the amount of the maximum revenue.In the following exercises, solve. Round answers to the nearest tenth. 206. A retailer who sells backpacks estimates that, by selling them for x dollars each, he will be able to sell 100x backpacks a month. The quadratic equation R=x2+100x is used to find the R received when the selling price of a backpack is x. Find the selling price that will give him the maximum revenue, and then find the amount of the maximum revenue.In the following exercises, solve. Round answers to the nearest tenth. 207. A rancher is going to fence three sides of a corral next to a river. He needs to maximize the corral area using 240 feet of fencing. The quadratic equation A=x(2402x) gives the area of the corral, A, for the length, x, of the corral along the river. Find the length of the corral along the river that will give the maximum area, and then find the maximum area of the corral.In the following exercises, solve. Round answers to the nearest tenth. 208. A veterinarian is enclosing a rectangular outdoor running area against his building for the dogshe cares for. He needs to maximize the area using 100 feet of fencing. The quadratic equation A=x(1002x) gives the area, A, of the dog run for the length, x, of the building that will border the dog run. Find the length of the building that should border the dog run to give the maximum area, and then find the maximum area of the dog run.In the previous set of exercises, you worked with the quadratic equation R=x2+40x that modeled the revenue received from selling computers at a price of x dollars. You found the selling price that would give the maximum revenue and calculated the maximum revenue. Now you will look at more characteristics of this model. (a) Graph the equation R=x2+40x . (b) Find the values of the x-intercepts.In the previous set of exercises, you worked with the quadratic equation R=x2+100x that modeled the revenue received from selling backpacks at a price of x dollars. You found the selling price that would give the maximum revenue and calculated the maximum revenue. Now you will look at more characteristics of this model. (a) Graph the equation R=x2+100x . (b) Find the values of the x-intercepts.For the revenue model in Exercise 10.205 and Exercise 10.209, explain what the x-intercepts mean to the computer store owner.For the revenue model in Exercise 10.206 and Exercise 10.210, explain what the x-intercepts mean to the backpack retailer.In the following exercises, solve using the Square Root Property. 213. x2=100In the following exercises, solve using the Square Root Property. 214. y2=144In the following exercises, solve using the Square Root Property. 215. m240=0In the following exercises, solve using the Square Root Property. 216. n280=0In the following exercises, solve using the Square Root Property. 217. 4a2=100In the following exercises, solve using the Square Root Property. 218. 2b2=72In the following exercises, solve using the Square Root Property. 219. r2+32=0In the following exercises, solve using the Square Root Property. 220. t2+18=0In the following exercises, solve using the Square Root Property. 221. 43v2+4=28In the following exercises, solve using the Square Root Property. 222. 23w220=30In the following exercises, solve using the Square Root Property. 223. 5c2+3=19In the following exercises, solve using the Square Root Property. 224. 3d26=43In the following exercises, solve using the Square Root Property. 225. (p5)2+3=19In the following exercises, solve using the Square Root Property. 226. (q+4)2=9In the following exercises, solve using the Square Root Property. 227. (u+1)2=45In the following exercises, solve using the Square Root Property. 228. (z5)2=50In the following exercises, solve using the Square Root Property. 229. (x14)2=316In the following exercises, solve using the Square Root Property. 230. (y23)2=29In the following exercises, solve using the Square Root Property. 231. (m7)2+6=30In the following exercises, solve using the Square Root Property. 232. (n4)250=150In the following exercises, solve using the Square Root Property. 233. (5c+3)2=20In the following exercises, solve using the Square Root Property. 234. (4c1)2=18In the following exercises, solve using the Square Root Property. 235. m26m+9=48In the following exercises, solve using the Square Root Property. 236. n2+10n+25=12In the following exercises, solve using the Square Root Property. 237. 64a2+48a+9=81In the following exercises, solve using the Square Root Property. 238. 4b228b+49=25In the following exercises, complete the square to make a perfect square trinomial. Then write the result as a binomial squared. 239. x2+22xIn the following exercises, complete the square to make a perfect square trinomial. Then write the result as a binomial squared. 240. y2+6yIn the following exercises, complete the square to make a perfect square trinomial. Then write the result as a binomial squared. 241. m28mIn the following exercises, complete the square to make a perfect square trinomial. Then write the result as a binomial squared. 242. n210nIn the following exercises, complete the square to make a perfect square trinomial. Then write the result as a binomial squared. 243. a23aIn the following exercises, complete the square to make a perfect square trinomial. Then write the result as a binomial squared. 244. b2+13bIn the following exercises, complete the square to make a perfect square trinomial. Then write the result as a binomial squared. 245. p2+45pIn the following exercises, complete the square to make a perfect square trinomial. Then write the result as a binomial squared. 246. q213qIn the following exercises, solve by completing the square. 247. c2+20c=21In the following exercises, solve by completing the square. 248. d2+14d=13In the following exercises, solve by completing the square. 249. x24x=32In the following exercises, solve by completing the square. 250. y216y=36In the following exercises, solve by completing the square. 251. r2+6r=100In the following exercises, solve by completing the square. 252. t212t=40In the following exercises, solve by completing the square. 253. v214v=31In the following exercises, solve by completing the square. 254. w220w=100In the following exercises, solve by completing the square. 255. m2+10m4=13In the following exercises, solve by completing the square. 256. n26n+11=34In the following exercises, solve by completing the square. 257. a2=3a+8In the following exercises, solve by completing the square. 258. b2=11b5In the following exercises, solve by completing the square. 259. (u+8)(u+4)=14In the following exercises, solve by completing the square. 260. (z10)(z+2)=28In the following exercises, solve by completing the square. 261. 3p218p+15=15In the following exercises, solve by completing the square. 262. 5q2+70q+20=0In the following exercises, solve by completing the square. 263. 4y26y=4In the following exercises, solve by completing the square. 264. 2x2+2x=4In the following exercises, solve by completing the square. 265. 3c2+2c=9In the following exercises, solve by completing the square. 266. 4d22d=8In the following exercises, solve by using the Quadratic Formula. 267. 4x25x+1=0In the following exercises, solve by using the Quadratic Formula. 268. 7y2+4y3=0In the following exercises, solve by using the Quadratic Formula. 269. r2r42=0In the following exercises, solve by using the Quadratic Formula. 270. t2+13t+22=0In the following exercises, solve by using the Quadratic Formula. 271. 4v2+v5=0In the following exercises, solve by using the Quadratic Formula. 272. 2w2+9w+2=0In the following exercises, solve by using the Quadratic Formula. 273. 3m2+8m+2=0In the following exercises, solve by using the Quadratic Formula. 274. 5n2+2n1=0In the following exercises, solve by using the Quadratic Formula. 275. 6a25a+2=0In the following exercises, solve by using the Quadratic Formula. 276. 4b2b+8=0In the following exercises, solve by using the Quadratic Formula. 277. u(u10)+3=0In the following exercises, solve by using the Quadratic Formula. 278. 5z(z2)=3In the following exercises, solve by using the Quadratic Formula. 279. 18p215p=120In the following exercises, solve by using the Quadratic Formula. 280. 25q2+310q=110In the following exercises, solve by using the Quadratic Formula. 281. 4c2+4c+1=0In the following exercises, solve by using the Quadratic Formula. 282. 9d212d=4In the following exercises, determine the number of solutions to each quadratic equation. 283. (a) 9x26x+1=0 (b) 3y28y+1=0 (c) 7m2+12m+4=0 (d) 5n2n+1=0In the following exercises, determine the number of solutions to each quadratic equation. 284. (a) 5x27x8=0 (b) 7x210x+5=0 (c) 25x290x+81=0 (d) 15x28x+4=0In the following exercises, identify the most appropriate method (Factoring, Square Root, or Quadratic Formula) to use to solve each quadratic equation. 285. (a) 16r28r+1=0 (b) 5t28t+3=9 (c) 3(c+2)2=15In the following exercises, identify the most appropriate method (Factoring, Square Root, or Quadratic Formula) to use to solve each quadratic equation. 286. (a) 4d2+10d5=21 (b) 25x260x+36=0 (c) 6(5v7)2=150In the following exercises, solve by using methods of factoring, the square root principle, or the quadratic formula. 287. Find two consecutive odd numbers whose product is 323.In the following exercises, solve by using methods of factoring, the square root principle, or the quadratic formula. 288. Find two consecutive even numbers whose product is 624.In the following exercises, solve by using methods of factoring, the square root principle, or the quadratic formula. 289. A triangular banner has an area of 351 square centimeters. The length of the base is two centimeters longer than four times the height. Find the height and length of the base.In the following exercises, solve by using methods of factoring, the square root principle, or the quadratic formula. 290. Julius built a triangular display case for his coin collection. The height of the display case is six inches less than twice the width of the base. The area of the of the back of the case is 70 square inches. Find the height and width of the case.In the following exercises, solve by using methods of factoring, the square root principle, or the quadratic formula. 291. A tile mosaic in the shape of a right triangle is used as the corner of a rectangular pathway. The hypotenuse of the mosaic is 5 feet. One side of the mosaic is twice as long as the other side. What are the lengths of the sides? Round to the nearest tenth.In the following exercises, solve by using methods of factoring, the square root principle, or the quadratic formula. 292. A rectangular piece of plywood has a diagonal which measures two feet more than the width. The length of the plywood is twice the width. What is the length of the plywood’s diagonal? Round to the nearest tenth.In the following exercises, solve by using methods of factoring, the square root principle, or the quadratic formula. 293. The front walk from the street to Pam’s house has an area of 250 square feet. Its length is two less than four times its width. Find the length and width of the sidewalk. Round to the nearest tenth.In the following exercises, solve by using methods of factoring, the square root principle, or the quadratic formula. 294. For Sophia’s graduation party, several tables of the same width will be arranged end to end to give a serving table with a total area of 75 square feet. The total length of the tables will be two more than three times the width. Find the length and width of the serving table so Sophia can purchase the correct size tablecloth. Round answer to the nearest tenth.In the following exercises, solve by using methods of factoring, the square root principle, or the quadratic formula. 295. A ball is thrown vertically in the air with a velocity of 160 ft/sec. Use the formula h=16t2+v0t to determine when the ball will be 384 feet from the ground. Round to the nearest tenth.In the following exercises, solve by using methods of factoring, the square root principle, or the quadratic formula. 296. A bullet is fired straight up from the ground at a velocity of 320 ft/sec. Use the formula h=16t2+v0t to determine when the bullet will reach 800 feet. Round to the nearest tenth.In the following exercises, graph by plotting point. 297. Graph y=x22In the following exercises, graph by plotting point. 298. Graph y=x2+3In the following exercises, determine if the following parabolas open up or down. 299. y=3x2+3x1In the following exercises, determine if the following parabolas open up or down. 300. y=5x2+6x+3In the following exercises, determine if the following parabolas open up or down. 301. y=x2+8x1In the following exercises, determine if the following parabolas open up or down. 302. y=4x27x+1In the following exercises, find (a) the axis of symmetry and (b) the vertex. 303. y=x2+6x+8In the following exercises, find (a) the axis of symmetry and (b) the vertex. 304. y=2x28x+1In the following exercises, find the x- and y-intercepts. 305. y=x24x+5In the following exercises, find the x- and y-intercepts. 306. y=x28x+15In the following exercises, find the x- and y-intercepts. 307. y=x24x+10In the following exercises, find the x- and y-intercepts. 308. y=5x230x46In the following exercises, find the x- and y-intercepts. 309. y=16x28x+1In the following exercises, find the x- and y-intercepts. 310. y=x2+16x+64In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 311. y=x2+8x+15In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 312. y=x22x3In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 313. y=x2+8x16In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 314. y=4x24x+1In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 315. y=x2+6x+13In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 316. y=2x28x12In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 317. y=4x2+16x11In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 318. y=x2+8x+10In the following exercises, find the minimum or maximum value. 319. y=7x2+14x+6In the following exercises, find the minimum or maximum value. 320. y=3x2+12x10In the following exercises, solve. Rounding answers to the nearest tenth. 321. A ball is thrown upward from the ground with an initial velocity of 112 ft/sec. Use the quadraticequation h=16t2+112t to find how long it will take the ball to reach maximum height, and then find the maximum height.In the following exercises, solve. Rounding answers to the nearest tenth. 322. A daycare facility is enclosing a rectangular area along the side of their building for the children to play outdoors. They need to maximize the area using 180 feet of fencing on three sides of the yard. The quadratic equation A=2x2+180x gives the area, A, of the yard for the length, x, of the building that will border the yard. Find the length of the building that should border the yard to maximize the area, and then find the maximum area.Use the Square Root Property to solve the quadratic equation: 3(w+5)2=27 .Use Completing the Square to solve the quadratic equation: a28a+7=23 .Use the Quadratic Formula to solve the quadratic equation: 2m25m+3=0 .Solve the following quadratic equations. Use any method. 326. 8v2+3=35Solve the following quadratic equations. Use any method. 327. 3n2+8n+3=0Solve the following quadratic equations. Use any method. 328. 2b2+6b8=0Solve the following quadratic equations. Use any method. 329. x(x+3)+12=0Solve the following quadratic equations. Use any method. 330. 43y24y+3=0Use the discriminant to determine the number of solutions of each quadratic equation. 331. 6p213p+7=0Use the discriminant to determine the number of solutions of each quadratic equation. 332. 3q210q+12=0Solve by factoring, the Square Root Property, or the Quadratic Formula. 333. Find two consecutive even numbers whose product is 360.Solve by factoring, the Square Root Property, or the Quadratic Formula. 334. The length of a diagonal of a rectangle is three more than the width. The length of the rectangle is three times the width. Find the length of the diagonal. (Round to the nearest tenth.)For each parabola, find (a) which ways it opens, (b) the axis of symmetry, (c) the vertex, (d) the x- and y-intercepts, and (e) the maximum or minimum value. 335. y=3x2+6x+8For each parabola, find (a) which ways it opens, (b) the axis of symmetry, (c) the vertex, (d) the x- and y-intercepts, and (e) the maximum or minimum value. 336. y=x24For each parabola, find (a) which ways it opens, (b) the axis of symmetry, (c) the vertex, (d) the x- and y-intercepts, and (e) the maximum or minimum value. 337. y=x2+10x+24For each parabola, find (a) which ways it opens, (b) the axis of symmetry, (c) the vertex, (d) the x- and y-intercepts, and (e) the maximum or minimum value. 338. y=3x2+12x8For each parabola, find (a) which ways it opens, (b) the axis of symmetry, (c) the vertex, (d) the x- and y-intercepts, and (e) the maximum or minimum value. 339. y=x28x+16Graph the following parabolas by using intercepts, the vertex, and the axis of symmetry. 340. y=2x2+6x+2Graph the following parabolas by using intercepts, the vertex, and the axis of symmetry. 341. y=16x2+24x+9Solve. 342. A water balloon is launched upward at the rate of 86 ft/sec. Using the formula h=16t2+86t , find how long it will take the balloon to reach the maximum height and then find the maximum height. Round to the nearest tenth.