Intermediate Algebra
19th Edition
ISBN: 9780998625720
Author: Lynn Marecek
Publisher: OpenStax College
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Textbook Question
Chapter 2.4, Problem 291E
Sarah wants to arrive at her friend’s wedding at 3:00. The distance from Sarah’s house to the wedding is 95 miles. Based on usual traffic patterns, Sarah predicts she can drive the first 15 miles at 60 miles per hour, the next 10 miles at 30 miles per hour, and the remainder of the drive at 70 miles per hour.
(a) How long will it take Sarah to drive the first 15 miles?
(b) How long will it take Sarah to drive the next 10 miles?
(c) How long will it take Sarah to drive the rest of the trip?
(d) What time should Sarah leave her house?
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Assume {u1, U2, u3, u4} does not span R³.
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E. If a set of vectors includes the zero vector 0, then the set of vectors cannot span Rn.
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Chapter 2 Solutions
Intermediate Algebra
Ch. 2.1 - Determine whether the values are solutions to the...Ch. 2.1 - Determine whether the values are solutions to the...Ch. 2.1 - Solve: 2(m4)+3=1 .Ch. 2.1 - Solve: 5(a3)+5=10 .Ch. 2.1 - Solve: 13(6u+3)=7u .Ch. 2.1 - Solve: 23(9x12)=8+2x .Ch. 2.1 - Solve: 6(p3)7=5(4p+3)12 .Ch. 2.1 - Solve: 8(q+1)5=3(2q4)1 .Ch. 2.1 - Solve: 6[42(7y1)]=8(138y) .Ch. 2.1 - Solve: 12[15(4z1)]=3(24+11z) .
Ch. 2.1 - Classify the equation as a conditional equation,...Ch. 2.1 - Classify the equation as a conditional equation,...Ch. 2.1 - Classify the equation as a conditional equation,...Ch. 2.1 - Classify the equation as a conditional equation,...Ch. 2.1 - Classify the equation as a conditional equation,...Ch. 2.1 - Classify the equation as a conditional equation,...Ch. 2.1 - Solve: 14x+12=58 .Ch. 2.1 - Solve: 18x+12=14 .Ch. 2.1 - Solve: 7=12x+34x23x .Ch. 2.1 - Solve: 1=12u+14u23u .Ch. 2.1 - Solve: 15(n+3)=14(n+2) .Ch. 2.1 - Solve: 12(m4)=14(m7) .Ch. 2.1 - Solve: 3r+56+1=4r+33 .Ch. 2.1 - Solve: 2s+32+1=3s+24 .Ch. 2.1 - Solve: 0.25n+0.05(n+5)=2.95 .Ch. 2.1 - Solve: 0.10d+0.05(d5)=2.15 .Ch. 2.1 - In the following exercises, determine whether the...Ch. 2.1 - In the following exercises, determine whether the...Ch. 2.1 - In the following exercises, determine whether the...Ch. 2.1 - In the following exercises, determine whether the...Ch. 2.1 - In the following exercises, solve each linear...Ch. 2.1 - In the following exercises, solve each linear...Ch. 2.1 - In the following exercises, solve each linear...Ch. 2.1 - In the following exercises, solve each linear...Ch. 2.1 - In the following exercises, solve each linear...Ch. 2.1 - In the following exercises, solve each linear...Ch. 2.1 - In the following exercises, solve each linear...Ch. 2.1 - In the following exercises, solve each linear...Ch. 2.1 - In the following exercises, solve each linear...Ch. 2.1 - In the following exercises, solve each linear...Ch. 2.1 - In the following exercises, solve each linear...Ch. 2.1 - In the following exercises, solve each linear...Ch. 2.1 - In the following exercises, solve each linear...Ch. 2.1 - In the following exercises, solve each linear...Ch. 2.1 - In the following exercises, solve each linear...Ch. 2.1 - In the following exercises, solve each linear...Ch. 2.1 - In the following exercises, solve each linear...Ch. 2.1 - In the following exercises, solve each linear...Ch. 2.1 - In the following exercises, solve each linear...Ch. 2.1 - 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Using your own words, list the steps in the...Ch. 2.1 - Explain why you should simplify both sides of an...Ch. 2.1 - What is the first step you take when solving the...Ch. 2.1 - If an equation has several fractions, how does...Ch. 2.1 - If an equation has fractions only on one side, why...Ch. 2.1 - For the equation 0.35x+2.1=3.85 , how do you clear...Ch. 2.2 - Guillermo bought textbooks and notebooks at the...Ch. 2.2 - Gerry worked Sudoku puzzles and crossword puzzles...Ch. 2.2 - The sum of four times a number and two is...Ch. 2.2 - The sum of three times a number and seven is...Ch. 2.2 - The sum of two numbers is negative twenty-three....Ch. 2.2 - The sum of two numbers is negative eighteen. One...Ch. 2.2 - Find three consecutive integers whose sum is 96 .Ch. 2.2 - Find three consecutive integers whose sum is 36 .Ch. 2.2 - Find three consecutive even integers whose sum is...Ch. 2.2 - Find three consecutive even integers whose sum is...Ch. 2.2 - According to the National Automobile Dealers...Ch. 2.2 - US Census data shows that the median price of new...Ch. 2.2 - Translate and solve: (a) What number is 45% of 80?...Ch. 2.2 - Translate and solve: (a) What number is 55% of 60?...Ch. 2.2 - One serving of wheat square cereal has 7 grams of...Ch. 2.2 - One serving of rice cereal has 190 mg of sodium,...Ch. 2.2 - Mitzi received some gourmet brownies as a gift....Ch. 2.2 - The mix Ricardo plans to use to make brownies says...Ch. 2.2 - Find the percent change. (Round to the nearest...Ch. 2.2 - Find the percent change. (Round to the nearest...Ch. 2.2 - Find (a) the amount of mark-up and (b) the list...Ch. 2.2 - Find (a) the amount of mark-up and (b) the list...Ch. 2.2 - Nathaly deposited $12,500 in her bank account...Ch. 2.2 - Susana invested a principal of $36,000 in her bank...Ch. 2.2 - Jim lent his sister $5,000 to help her buy a...Ch. 2.2 - Loren lent his brother $3,000 to help him buy a...Ch. 2.2 - Eduardo noticed that his new car loan papers...Ch. 2.2 - In five years, Gloria’s bank account earned $2,400...Ch. 2.2 - List five positive thoughts you can say to...Ch. 2.2 - List five negative thoughts that you have said to...Ch. 2.2 - In the following exercises, solve using the...Ch. 2.2 - In the following exercises, solve using the...Ch. 2.2 - In the following exercises, solve using the...Ch. 2.2 - In the following exercises, solve using the...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, solve each number word...Ch. 2.2 - In the following exercises, translate and solve....Ch. 2.2 - In the following exercises, translate and solve....Ch. 2.2 - In the following exercises, translate and solve....Ch. 2.2 - In the following exercises, translate and solve....Ch. 2.2 - In the following exercises, solve. 121. Geneva...Ch. 2.2 - In the following exercises, solve. 122. When Hiro...Ch. 2.2 - In the following exercises, solve. 123. One...Ch. 2.2 - In the following exercises, solve. 124. One...Ch. 2.2 - In the following exercises, solve. 125. A bacon...Ch. 2.2 - In the following exercises, solve. 126. A grilled...Ch. 2.2 - In the following exercises, solve. 127. The...Ch. 2.2 - In the following exercises, solve. 128. The...Ch. 2.2 - In the following exercises, solve. 129. Emma gets...Ch. 2.2 - In the following exercises, solve. 130. Dimple...Ch. 2.2 - In the following exercises, solve. 131. Tamanika...Ch. 2.2 - In the following exercises, solve. 132. Ayodele...Ch. 2.2 - In the following exercises, solve. 133. Annual...Ch. 2.2 - In the following exercises, solve. 134. The price...Ch. 2.2 - In the following exercises, solve. 135. A grocery...Ch. 2.2 - In the following exercises, solve. 136. The price...Ch. 2.2 - In the following exercises, solve. 137. Hernando’s...Ch. 2.2 - In the following exercises, solve. 138. In ten...Ch. 2.2 - In the following exercises, find (a) the amount of...Ch. 2.2 - In the following exercises, find (a) the amount of...Ch. 2.2 - In the following exercises, find (a) the amount of...Ch. 2.2 - In the following exercises, find (a) the amount of...Ch. 2.2 - In the following exercises, find (a) the amount of...Ch. 2.2 - In the following exercises, find (a) the amount of...Ch. 2.2 - In the following exercises, find (a) the amount of...Ch. 2.2 - In the following exercises, find (a) the amount of...Ch. 2.2 - In the following exercises, solve. 147. Casey...Ch. 2.2 - In the following exercises, solve. 148. Terrence...Ch. 2.2 - In the following exercises, solve. 149. Robin...Ch. 2.2 - In the following exercises, solve. 150. Carleen...Ch. 2.2 - In the following exercises, solve. 151. Hilaria...Ch. 2.2 - In the following exercises, solve. 152. Kenneth...Ch. 2.2 - In the following exercises, solve. 153. Lebron...Ch. 2.2 - In the following exercises, solve. 154. Pablo...Ch. 2.2 - In the following exercises, solve. 155. In 10...Ch. 2.2 - In the following exercises, solve. 156. In 25...Ch. 2.2 - In the following exercises, solve. 157. Joshua’s...Ch. 2.2 - In the following exercises, solve. 158. Margaret’s...Ch. 2.2 - Tipping At the campus coffee cart, a medium coffee...Ch. 2.2 - Tipping Four friends went out to lunch and the...Ch. 2.2 - What has been your past experience solving word...Ch. 2.2 - Without solving the problem “44 is 80% of what...Ch. 2.2 - After returning from vacation, Alex said he should...Ch. 2.2 - Because of road construction in one city,...Ch. 2.3 - Use the formula A=12bh to solve for b.Ch. 2.3 - Use the formula A=12bh to solve for h.Ch. 2.3 - Solve the formula F=95C+32 for C.Ch. 2.3 - Solve the formula A=12h(b+B) for b.Ch. 2.3 - Solve the formula A=P+Prt for t.Ch. 2.3 - Solve the formula A=P+Prt for r.Ch. 2.3 - Solve the formula 4x+7y=9 for y.Ch. 2.3 - Solve the formula 5x+8y=1 for y.Ch. 2.3 - The area of a triangular church window is 90...Ch. 2.3 - A triangular tent door has area 15 square feet....Ch. 2.3 - The measure of one angle of a right triangle is 50...Ch. 2.3 - The measure of one angle of a right triangle is 30...Ch. 2.3 - Use the Pythagorean Theorem to find the length of...Ch. 2.3 - Use the Pythagorean Theorem to find the length of...Ch. 2.3 - The length of a rectangle is seven more than twice...Ch. 2.3 - The width of a rectangle is eight yards less than...Ch. 2.3 - One side of a triangle is seven inches more than...Ch. 2.3 - One side of a triangle is three feet less than the...Ch. 2.3 - The perimeter of a rectangular swimming pool is...Ch. 2.3 - The length of a rectangular garden is 30 yards...Ch. 2.3 - John puts the base of a 13-foot ladder five feet...Ch. 2.3 - Randy wants to attach a 17-foot string of lights...Ch. 2.3 - In the following exercises, solve the given...Ch. 2.3 - In the following exercises, solve the given...Ch. 2.3 - In the following exercises, solve the given...Ch. 2.3 - In the following exercises, solve the given...Ch. 2.3 - In the following exercises, solve the given...Ch. 2.3 - In the following exercises, solve the given...Ch. 2.3 - In the following exercises, solve the given...Ch. 2.3 - In the following exercises, solve the given...Ch. 2.3 - 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Approximate...Ch. 2.3 - In the following exercises, solve. Approximate...Ch. 2.3 - In the following exercises, solve. Approximate...Ch. 2.3 - In the following exercises, solve. Approximate...Ch. 2.3 - Converting temperature While on a tour in Greece,...Ch. 2.3 - Converting temperature Yon was visiting the United...Ch. 2.3 - Christa wants to put a fence around her triangular...Ch. 2.3 - Jose just removed the children’s play set from his...Ch. 2.3 - If you need to put tile on your kitchen floor, do...Ch. 2.3 - If you need to put a fence around your backyard,...Ch. 2.3 - Look at the two figures below. (a) Which figure...Ch. 2.3 - Write a geometry word problem that relates to your...Ch. 2.4 - Jesse has $6.55 worth of quarters and nickels in...Ch. 2.4 - Elane has $7.00 total in dimes and nickels in her...Ch. 2.4 - Eric paid $19.88 for stamps. The number of 49-cent...Ch. 2.4 - Kailee paid $14.74 for stamps. The number of...Ch. 2.4 - During her shift at the museum ticket booth, Leah...Ch. 2.4 - Galen sold 810 tickets for his church’s carnival...Ch. 2.4 - Orlando is mixing nuts and cereal squares to make...Ch. 2.4 - Becca wants to mix fruit juice and soda to make a...Ch. 2.4 - An express train and a local train leave...Ch. 2.4 - Jeromy can drive from his house in Cleveland to...Ch. 2.4 - Christopher and his parents live 115 miles apart....Ch. 2.4 - Ashley goes to college in Minneapolis, 234 miles...Ch. 2.4 - Pierre and Monique leave their home in Portland at...Ch. 2.4 - Thanh and Nhat leave their office in Sacramento at...Ch. 2.4 - Suzy takes 50 minutes to hike uphill from the...Ch. 2.4 - Llewyn takes 45 minutes to drive his boat upstream...Ch. 2.4 - Hamilton loves to travel to Las Vegas, 255 miles...Ch. 2.4 - Phuong left home on his bicycle at 10:00. He rode...Ch. 2.4 - In the following exercises, solve each coin word...Ch. 2.4 - In the following exercises, solve each coin word...Ch. 2.4 - In the following exercises, solve each coin word...Ch. 2.4 - In the following exercises, solve each coin word...Ch. 2.4 - In the following exercises, solve each coin word...Ch. 2.4 - In the following exercises, solve each coin word...Ch. 2.4 - In the following exercises, solve each coin word...Ch. 2.4 - In the following exercises, solve each coin word...Ch. 2.4 - In the following exercises, solve each ticket or...Ch. 2.4 - In the following exercises, solve each ticket or...Ch. 2.4 - In the following exercises, solve each ticket or...Ch. 2.4 - In the following exercises, solve each ticket or...Ch. 2.4 - In the following exercises, solve each ticket or...Ch. 2.4 - In the following exercises, solve each ticket or...Ch. 2.4 - In the following exercises, solve each ticket or...Ch. 2.4 - In the following exercises, solve each ticket or...Ch. 2.4 - In the following exercises, solve each ticket or...Ch. 2.4 - In the following exercises, solve each ticket or...Ch. 2.4 - In the following exercises, solve each mixture...Ch. 2.4 - In the following exercises, solve each mixture...Ch. 2.4 - In the following exercises, solve each mixture...Ch. 2.4 - In the following exercises, solve each mixture...Ch. 2.4 - In the following exercises, solve each mixture...Ch. 2.4 - In the following exercises, solve each mixture...Ch. 2.4 - In the following exercises, solve each mixture...Ch. 2.4 - In the following exercises, solve. 268. Lilah is...Ch. 2.4 - In the following exercises, solve. 269. Kathy and...Ch. 2.4 - the following exercises, solve. 270. Two busses go...Ch. 2.4 - In the following exercises, solve. 271. A...Ch. 2.4 - In the following exercises, solve. 272. Saul drove...Ch. 2.4 - In the following exercises, solve. 273. Charlie...Ch. 2.4 - In the following exercises, solve. 274. Sisters...Ch. 2.4 - In the following exercises, solve. 275. Ethan and...Ch. 2.4 - In the following exercises, solve. 276. Elvira and...Ch. 2.4 - In the following exercises, solve. 277. DaMarcus...Ch. 2.4 - In the following exercises, solve. 278. Cindy and...Ch. 2.4 - In the following exercises, solve. 279. Matt and...Ch. 2.4 - In the following exercises, solve. 280. Two busses...Ch. 2.4 - In the following exercises, solve. 281. Two boats...Ch. 2.4 - In the following exercises, solve. 282. Lorena...Ch. 2.4 - In the following exercises, solve. 283. Julian...Ch. 2.4 - In the following exercises, solve. 284. Cassius...Ch. 2.4 - In the following exercises, solve. 285. It takes...Ch. 2.4 - In the following exercises, solve. 286. At 1:30,...Ch. 2.4 - In the following exercises, solve. 287. Aaron left...Ch. 2.4 - In the following exercises, solve. 288. Marisol...Ch. 2.4 - In the following exercises, solve. 289. 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Then graph the solution on...Ch. 2.5 - Translate and solve. Then graph the solution on...Ch. 2.5 - Angie has $20 to spend on juice boxes for her...Ch. 2.5 - Daniel wants to surprise his girlfriend with a...Ch. 2.5 - Sergio and Lizeth have a very tight vacation...Ch. 2.5 - Rameen’s heating bill is $5.42 per month plus...Ch. 2.5 - Caleb has a pet sitting business. He charges $32...Ch. 2.5 - Elliot has a landscape maintenance business. 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(a) |x|=3...Ch. 2.7 - In the following exercises, solve. 438. |2x3|4=1Ch. 2.7 - In the following exercises, solve. 439. |4x1|3=0Ch. 2.7 - In the following exercises, solve. 440. |3x4|+5=7Ch. 2.7 - In the following exercises, solve. 441. |4x+7|+2=5Ch. 2.7 - In the following exercises, solve. 442. 4|x1|+2=10Ch. 2.7 - In the following exercises, solve. 443. 3|x4|+2=11Ch. 2.7 - In the following exercises, solve. 444. 3|4x5|4=11Ch. 2.7 - In the following exercises, solve. 445. 3|x+2|5=4Ch. 2.7 - In the following exercises, solve. 446. 2|x3|+8=4Ch. 2.7 - In the following exercises, solve. 447. 3|x4|+4=5Ch. 2.7 - In the following exercises, solve. 448. |34x3|+7=2Ch. 2.7 - In the following exercises, solve. 449. |35x2|+5=2Ch. 2.7 - In the following exercises, solve. 450....Ch. 2.7 - In the following exercises, solve. 451....Ch. 2.7 - In the following exercises, solve. 452....Ch. 2.7 - In the following exercises, solve. 453....Ch. 2.7 - In the following exercises, solve. 454....Ch. 2.7 - In the following exercises, solve. 455.|6x|=|32x|Ch. 2.7 - In the following exercises, solve each inequality....Ch. 2.7 - In the following exercises, solve each inequality....Ch. 2.7 - In the following exercises, solve each inequality....Ch. 2.7 - In the following exercises, solve each inequality....Ch. 2.7 - In the following exercises, solve each inequality....Ch. 2.7 - In the following exercises, solve each inequality....Ch. 2.7 - In the following exercises, solve each inequality....Ch. 2.7 - In the following exercises, solve each inequality....Ch. 2.7 - In the following exercises, solve each inequality....Ch. 2.7 - In the following exercises, solve each inequality....Ch. 2.7 - In the following exercises, solve each inequality....Ch. 2.7 - In the following exercises, solve each inequality....Ch. 2.7 - In the following exercises, solve each inequality....Ch. 2.7 - In the following exercises, solve each inequality....Ch. 2.7 - In the following exercises, solve each inequality....Ch. 2.7 - In the following exercises, solve each inequality....Ch. 2.7 - In the following exercises, solve each inequality....Ch. 2.7 - In the following exercises, solve each inequality....Ch. 2.7 - In the following exercises, solve each inequality....Ch. 2.7 - In the following exercises, solve each inequality....Ch. 2.7 - In the following exercises, solve each inequality....Ch. 2.7 - In the following exercises, solve each inequality....Ch. 2.7 - In the following exercises, solve each inequality....Ch. 2.7 - In the following exercises, solve each inequality....Ch. 2.7 - In the following exercises, solve. 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Jaimes...Ch. 2 - In the following exercises, solve the formula for...Ch. 2 - In the following exercises, solve the formula for...Ch. 2 - In the following exercises, solve the formula for...Ch. 2 - In the following exercises, solve the formula for...Ch. 2 - In the following exercises, solve using a geometry...Ch. 2 - In the following exercises, solve using a geometry...Ch. 2 - In the following exercises, solve using a geometry...Ch. 2 - In the following exercises, solve using a geometry...Ch. 2 - In the following exercises, solve using a geometry...Ch. 2 - In the following exercises, solve using a geometry...Ch. 2 - In the following exercises, solve using a geometry...Ch. 2 - In the following exercises, solve using a geometry...Ch. 2 - In the following exercises, solve using a geometry...Ch. 2 - In the following exercises, solve using a geometry...Ch. 2 - In the following exercises, solve. 554. Paulette...Ch. 2 - In the following exercises, solve. 555. 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Anthony drove...Ch. 2 - In the following exercises, graph the inequality...Ch. 2 - In the following exercises, graph the inequality...Ch. 2 - In the following exercises, graph the inequality...Ch. 2 - In the following exercises, graph the inequality...Ch. 2 - In the following exercises, graph the inequality...Ch. 2 - In the following exercises, graph the inequality...Ch. 2 - In the following exercises, graph the inequality...Ch. 2 - In the following exercises, solve each inequality,...Ch. 2 - In the following exercises, solve each inequality,...Ch. 2 - In the following exercises, solve each inequality,...Ch. 2 - In the following exercises, solve each inequality,...Ch. 2 - In the following exercises, solve each inequality,...Ch. 2 - In the following exercises, solve each inequality,...Ch. 2 - In the following exercises, solve each inequality,...Ch. 2 - In the following exercises, solve each inequality,...Ch. 2 - In the following exercises, translate and solve....Ch. 2 - In the following exercises, translate and solve....Ch. 2 - In the following exercises, translate and solve....Ch. 2 - In the following exercises, translate and solve....Ch. 2 - In the following exercises, solve. 587. 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- 4. In a study of how students give directions, forty volunteers were given the task ofexplaining to another person how to reach a destination. Researchers measured thefollowing five aspects of the subjects’ direction-giving behavior:• whether a map was available or if directions were given from memory without a map,• the gender of the direction-giver,• the distances given as part of the directions,• the number of times directions such as “north” or “left” were used,• the frequency of errors in directions.a) Identify each of the variables in this study, and whether each is quantitative orqualitative. For each quantitative variable, state whether it is discrete or continuousb) Was this an observational study or an experimental study? Explain your answerarrow_forwardFind the perimeter and areaarrow_forwardAssume {u1, U2, us} spans R³. Select the best statement. A. {U1, U2, us, u4} spans R³ unless u is the zero vector. B. {U1, U2, us, u4} always spans R³. C. {U1, U2, us, u4} spans R³ unless u is a scalar multiple of another vector in the set. D. We do not have sufficient information to determine if {u₁, u2, 43, 114} spans R³. OE. {U1, U2, 3, 4} never spans R³. F. none of the abovearrow_forward
- Assume {u1, U2, 13, 14} spans R³. Select the best statement. A. {U1, U2, u3} never spans R³ since it is a proper subset of a spanning set. B. {U1, U2, u3} spans R³ unless one of the vectors is the zero vector. C. {u1, U2, us} spans R³ unless one of the vectors is a scalar multiple of another vector in the set. D. {U1, U2, us} always spans R³. E. {U1, U2, u3} may, but does not have to, span R³. F. none of the abovearrow_forwardLet H = span {u, v}. For each of the following sets of vectors determine whether H is a line or a plane. Select an Answer u = 3 1. -10 8-8 -2 ,v= 5 Select an Answer -2 u = 3 4 2. + 9 ,v= 6arrow_forwardSolve for the matrix X: X (2 7³) x + ( 2 ) - (112) 6 14 8arrow_forward
- 5. Solve for the matrix X. (Hint: we can solve AX -1 = B whenever A is invertible) 2 3 0 Χ 2 = 3 1arrow_forwardWrite p(x) = 6+11x+6x² as a linear combination of ƒ (x) = 2+x+4x² and g(x) = 1−x+3x² and h(x)=3+2x+5x²arrow_forward3. Let M = (a) - (b) 2 −1 1 -1 2 7 4 -22 Find a basis for Col(M). Find a basis for Null(M).arrow_forward
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