For Exercises 81–100, make an appropriate substitution and solve the equation. (See Examples 10–11) 81. (2x + 5)? – 7(2x + 5) - 30 = 0 82. (Зх — 7)? - 6(3х — 7)-16 3D 0 83. (x + 2x)? – 18(r + 2x) = -45 84. (x + 3x)? - 86. (у? — 3)? — 9(y? — 3) — 52 %3D 0 14(x + 3x) = -40 85. (x + 2)2 + (x + 2) – 42 = 0 10 2 10 - 61 m - - 27 = 0 x + + 35 = 0 87. 88. - 121 x + т - m m 89. 2 + 2 + = 12 90. + 3 + 6 + 3 = -8 91. 5c2/5 11c/5 + 2 = 0 92. З3 d'/3 – 4 = 0 93. y'/2 – y/4 6 = 0 94. n'/2 + 6n/4 – 16 = 0 95. 9y 10y + 1 = 0 96. 100х-4 29x-2 + 1 = 0 | 97. 4t – 25 Vi = 0 98. 9m – 16Vm = 0 100. 392 + 16q -1 99. 30k-2 – 23k- + 2 = 0 + 5 = 0

Q: Example #5: 5x? = -20x - 15 %3D Produ

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Q: 8. If (x - 2c)2 - 10(x- 2c) + 21 = 0, what is the value of x?

A: Given (x-2c)2-10(x-2c)+21=0Ans:We know that (a-b)2=a2+b2-2abLet x-2c=uu2-10u+21=0This is in the form…

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Q: -a2+7b4-2c3 a=-4 b=-2 c=-3

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Q: 8a^2 - 4b + 7a^2 is equivalent to

A: Here we add the terms with same power and variables.

Q: For Exercises 7–18, write each expression in terms of i and simplify. (See Example 1) 7. V-121 8.…

A: Since you have posted multiple questions so we solve the first question for you to get the remaining…

Q: 15 6/

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Q: What is wrong with the following equation: 8 + (6/2) = 17 - 5

A: In this question L.H.S is not equal to R.H.S

Q: the solution for (AxB)xC

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Q: What's y=-×^2+2×+10 is ?

A: The equation is y=-x2+2x+10. The above equation is in the form of equation of parabola.

Q: 4x 17 -24 17 i. y+2 -42 15 -42

A: Since you have posted more than one question, we solve the first one for you. For the remaining…

Q: What's wrong with the following equation: 8+(6/2)=17-5

A: The given equation to be analyzed is  8+6/2=17-5

Q: Мaximize 6x] - 2х2 + 9х3 + 300 2 subject to 2x1 - 6x2 хз <100 х + х2 + 9хз < 200

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Q: 1. What is the value of 4(x-2)(x-3)+7(x- 2)(x- 5)-6(x- 3)(x- 5) | when x= 5? Show your work or…

A: We have the function 4(x-2)(x-3)+7(x-2)(x-5)-6(x-3)(x-5)

Q: .  Reduce answer to its lowest terms: a.) -42 + (5 - 7)2 - (-5) - ( -3 )3 + 1 - 22 b.) 13(x - 1) -…

A: a) -42+5-72--5--33+1-22      =-16+-22+5+27+1-4       =-16+4+5+27+1-4        =-16+37-4         =17…

Q: I need the answer as soon as possible

A: Solve the given problem.

Q: Exercise 3 ry" + 2y' = 0

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Q: y" – y' – 30y = 0 0) - 1, у 10) --4

A: The general form of a second-order homogenous linear differential equation is given by…

Q: 13. (4a). 14. (3xy)?. (-4x³y²) 15. (4a b c³ 12x4244 E-X, P6 PE 6a b? 32xy 16. 17. 344 |--9 a=4 18.…

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Q: What is the best way to calculate this?   -9+[(10-2)-(-17-16)] =

A: To solve the given expression.

Q: а) (Зx)-2 x- b) 3x-5 3x-5 c) (2x4)-3 |d) (5х*) -?(10х5)

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Q: 16/22 What is the value of y = -0.4x+ 12 when When x= -4, the value of y is x= -4?

A: We find the value of y when x = -4. y = -0.4x + 12

Q: 7) m + 2m - 24 8) x - 4x + 24 9) - 13k + 40 10) a'+ 11a + 18

A: Given, Find factor of given  equations 8.)x2-4x+24 9,)k2-13k+40 10·)a2+11a+18

Q: What is the solution of 8 +9 2x> -28? O -2 < x < 3 O No Solution O -3 < x < 3 0 (-∞, ∞)

A: Given: 8+92x&gt;-2892x&gt;-28-892x&gt;-36 Dividing both side by 9 92x&gt;-362x&gt;-4 Since modulus…

Q: 10- 13- 16- 19-2 4 12 20 14

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Q: YA 8) y = x+ .5 3 y = - 2x - 4 2 1- 3. 4 $X -2 -3

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Q: a²- 2a - 3 -Sa Sa - 6 -9a + 18 a² + 9a + 8 1.

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Q: For Exercises 73–80, (a) evaluate the discriminant and (b) determine the number and type of…

A: Discriminant, D=b2-4ac If D&lt;0, complex solution If D=0, one real solution If D &gt;0, two real…

Q: If 2x2 + 6x = 36, what are the possible values of x ?

A: Given,         2x2+6x=36

Q: In Exercises 16–17, perform the indicated operations. 16. (3x2 – y)? 17. (3x2 – y)(3x² + y)

A: We have to perform the indicated operation for the given expressions: 16. 3x2-y217. 3x2-y3x2+y…

Q: x+8/4=1/2+x-2/7 I keep getting 7x+56=14+4x-8 as the answer but they say thats wrong and I don't…

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Q: a²²6-1_a-16-2 51. 4a-2-4b-2

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Q: 9. x₁ - 5x₂ = b₁ 3x₁ + 2x₂ = b₂ i. b₁ = 1, b₂ = 4

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Q: 5. Find the value of x and y 8x - y = -1, 7x-y = -2

A: Consider the given set of equation is, 8x-y=-17x-y=-2 Consider first expression is written as,…

Q: What is a simpler form of 5n(3n3-n2 + 8)?

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Q: Example 3: Translate R(8,-3) using (x, y) (x + 3, y - 4).

A: Point X(a, b) after translation using (x, y)→(x+c, y+d) is obtained by putting x=a and y=b in the…

Q: 8. 2z (z – 1)?

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Q: Simplify the expression

A: The given expression is 5a2+12a+4a4-16÷25a2+20a+4a2-2a

Q: For a second example, consider fk = 3k3 + k – 1. (1.195) We have LAfk = 9k? + 9k + 4, A? fk = 18k +…

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Q: or x. Yes, this is still your homework. 18 5. 4x-4 4x-2 %3D 9. 8

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Q: Example 3: Translate R(8, -3) using (x, y) (x + 3, y-4).

A: The given point is (8, 3). The formula for the translation is x, y→x+3, y-4.

Q: x12 3 4 5 67 y 148 12 ? ? ?

A: Series given is X:1  2  3  4     5  6  7  Y:1  4  8  12   ?  ?   ? Here we see co-relation between…

Q: Simplify: x7/6,8/3 (x'y5/: „1, xbyl/6

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Q: 6) -3-j4 (b) - 3 tj4 (d) 3-j4 (a) 3+j4

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Q: 4 3 2 R 4 -3-2 -1S이 3. 4. -2 -4 5. 1, 1.

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Q: How come it is (.5)^2-(y-4.5)^2 and not (.5)^2-(h-1)^2?

A: We will redraw the figure and explain from beginning on how the said expression obtained for 2nd…

Q: What is the solution for x²-18x 7 Ox 11 O-11<x<7 07<x< 11

A: We use the concept of quadratic inequalities to solve the given problem.

Q: -5- 5 10 X2 N Y2 9. 2 3 9 3 2 9. 2

A: