Quadratic equations Questions and Answers

What is the equation of the vertical asymptote of the graph of y X 3 2 Of the horizontal asymptote What is are the equation s of any vertical asymptote s Select the correct choice below and if necessary fill in the answer box e complete your choice OA The function has two vertical asymptotes The leftmost has the equation Type equations OB The function has one vertical asymptote with an equation Type an equation C The function has no vertical asymptotes and the rightmost has the equation

4 5x 3y 9 65432 1 L

4 3 pt Determine the solution set for the quadratic inequality below x 6x 16 0 5 A stone is thrown upward from a 256 foot bridge The stone s height in feet above the ground t seconds after being thrown is represented by s t 16t 32t 256 a 2 pt When does the stone reach its maximum height b 2 pt At what time does the stone hit the ground

oftware LLC All rights 10 y x 5 y2 x 7 10 8 reser 12ed 6 Made 4 AV Infinite zoom in 10 x Alge bra 2

3 2x 5y 10 654 3 2 1 2

9 y x 2 3 y x 2 y 9 2022 Kuta Software LLC All rights 10 y x 5 6 y2 x 7 0 res er 12 d 46 zoom in 10 x Made with Infinite Alge bra 2

SUM 2 Q2 Solve each system by elimination 5 6y 42 18x 4x 8 3y A 4 1 C 1 4 B 4 1 D 1 4 66 3y 3x 15 9 3x 2y A 7 5 C 7 10 B 7 8 D 1 6

7 y x 2 y 3 y2 2x 3 A B D y 8

Sketch the graph of each linear inequality 1 y x 3 A B D 2 44 2 4 2 y 2 4 4 X X

Find an expression for the area of the shaded region of the figure 3 X li NIX 2X 16 Scanned with CamScanner

uestion has several parts that must be completed sequentially for the skipped part and you will not be able to come back to orial Exercise Find an expression for the area of the shaded region of the figure 4 X XIN 2 2X 10

expression for the area of the shaded region of the figure 5 Is 712 ynomial figures pwed 5 ework 5 6x i Feedback Settings Before due date After due date Scanned with CamScanner 1

A bridge is being built across a canyon The length of the bridge is 5025 ft From the deepest point in the canyon the angles of elevation of the ends of the bridge are 76 and 74 How deep is the canyon

On the plane passing through points P 7 4 4 Q 8 3 5 and R 16 13 4 find the point S that is closest to T 35 12 4 O 62 54 5 O 41 53 26 113 85 15 O 64 49 15 O 102 73 6 29 18 8 O 67 56 15 O 25 17 4 O 23 10 1 O 24 19 16

Next question Let p and q represent the following simple statements p The taxes are high q It is time to sleep Write the following compound statement in its symbolic form The taxes are high and it is not time to sleep The symbolic form is

Show all work to solve 3x2 5x 2 0

What are the solutions of 2x 16x 34 0 O 4 2i O 8 2i O 8 ti Q 4 1

Solve x 7x 12 Ox 2 and x 6 Ox 6 and x 2 Ox 4 and x 3 Ox 4 and x 3

The circumference of a circle is 13 inches Find the radius Step 2 of 3 Without substitution solve the formula chosen in the previous step for the unknown variable in terms of the known variable s

e number N of cars produced at a certain factory in 1 day after t hours of operation is given by N t 600t 10t t 10 If the cost C in dollars of producing N cars is C N 15 000 3000N find the cost C as a function of the e of operation of the factory hat is the cost C as a function of the time t of operation of the factory

Exercise 12 3 1 Consider the matrix A x1 1 0 0 1 2 1 1 R R Verify the the following are eigenvectors and find their corresponding eigenvalues 0 0 x2 x3 2 1

2b Evaluate if x 20

6 5 3 2 1 Amplitude Period Based on the graph above determine the amplitude midline and period of the function Midline y 2 2 4 3 4 5

evaluaas ever coich 1d Evaluate if x equals one half

3c Evaluate if x 10

3b Evaluate if x 3

3a Three times the sum of 8 and x

1 c Evaluate if x 2

16 Evaluate if x 10

Solve the following quadratic function to find the x intercepts f x x 12x 27 Ox 12 and 27 O x 4 and 3 x 9 and 3 x 4 and 3

ewrite following radical with a rational exponent 6 X

3 Solve the following system y x 6 x 5 y x

9 88 p 41p 64p 18 p 84p 48p 51p 83p A 136p 106p 103p 40p B 136p 106p 13p 40p C 125p 101p 13p 40p D 125 p 106p 13p 40p 10 23 73 11 8 42r 36 51 15 A 44 77 88 74 B 44r 31 88r 74 C 10 88 74 D 444 33 88 74 11 x 5x 2x 2x 8x A 3x 10x 6x B 3x 10x x C 5x 10x x D 3x 10x 2x 12 12 7v 4 8v 2v A 15v 4 B 22 4 4 C 15v 3 4 D 22y 3y 4

For each pair of equations state if there is one solution no solution or infinite solutions a 27x 24y 18 and 9x 8y 6 b y 3x 8 and y 3x 8 c 4x 20y 28 and x 5y 7

8 92x 92x 59x 42x 40x 18x 42r 98r A 73x 59x 60x 190x 42x B 132x 59x 60x 190x 42x C 99x 59x 60x 190x 42x D 160x 59x 60x 190x 42x 9 88 p 41p 64p 18 p 84p 48p 51 p 83p A 136p 106p 103p 40p B 136p 106p 13p 40p C 125 p 101p 13p 40p D 125p 106p 13p 40p 10 23 73 112 8r 422 36r 1 15r A 447 77 88 74 B 44 31 88 74 C 10 77 88 74

5 3v 7v 6 v 8v A 6 3 6 B 6v 9 6 C 6v 9 10 D 6v 5 61 6 6 4x 7x 3x 7x 6x A 10x 13x 4x B x 13x 4x C x 16x 4x D 3x 13x 4x 7 30 14r 22 41r 77 26 75r 70r A 185r 100 73r 41r 33 B 89r 100r 73r 41r 33 C 89r 100r 26 41 55 D 89 100 73 41 55

1 3 Simplify each difference 1 8x 8 8x 8 8x 7x A 23x 14 C 15x B 23x 6 D 23x Simplify each expression 3 4 3a 7a 7 8a A 5a 17 B 5a 7a 17 C 5a 7a 12 D Sa 7a 11 k 2 4 2 8 8r 7 6r 1 A 10 7 C 6 7 B 6 2r 7 D 6r 3r 7 4 8a a 5a 3a 7a A 5a 11a 2a B 5a 19a 3a C 5a 11a 3a D a 11a 2a

Waterworks is a company that manufactures and sells paddleboards Its profit P in hundreds of dollars earned is a function of the number of paddleboards sold x measured in thousands Profit is modeled by the function P x 4x 68x 168x What do the zeros of the function tell you about the number of paddleboards that Waterworks should produce Com In order to make a profit Waterworks must produce more than and fewer than paddleboards

Factor the following polynomial using the difference of squares 42 81

A business owner receives a 5 000 loan with 13 interest charged at the end of each year Write an equation to represent the amount owed in dollars after the t years of making no payments Use your equation to determine the amount of the loan after 4 years

A computer costs 800 It loses 1 4 of its value every 2 years after it is purchased How much will the computer be worth in 6 years

13 8 pts Use the rational function g x below to answer the following draw a sketch of the graph a Domain b y Intercept c x Intercept s d Vertical Asymptotes e Horizontal Asymptotes g x 2x 12 x 4 y 14 4 pts Determine the solution set to the following rational inequality 5r 2 x 4 0

20 dAR 0 45155 05057 0s0s A OB www OC O D O

An adult takes 400 mg of ibuprofen Each hour the amount of ibuprofen in the person s system decreases by about 29 How much ibuprofen is left after 6 hours nswer to a Different problem 3 mL

What is the inverse of f x 2x 3 O f x 2x 3 O f x 2x 3 o f x x 1 20 f x 1 x 13 1

What is the inverse of f x x 5 for a 5 where function g is the inverse of function f O g x x 5 x 5 O g x x 5 x 0 O g x x 5 x 5 O g x x 5 x 0

1 Sketch the graph of each linear inequality 1 3x y 2 A B C D 2 K 2 x 2y 0 A B C D

Solve each system by elimination 1 3x 4y 3 12x 2y 12 3 6x 18y 24 7x 9y 2 5 3x 3y 3 8x 10y 22 2 6x 6y 6 3x y 17 4 6x 5y 5 7x 7y 0 6 7x 9y 27 8x 5y 15

Solve each system by elimination 7 2x 8y 2 4x 2y 4 9 10x 7y 27 5x 2y 8 11 6x 9y 12 7x 10y 10 8 x 14y 10 3x 7y 5 10 7x 10y 27 3x 3y 9 12 9x 8y 6 2x 3y 30

4x 5y 6 y 4 1 6 4x 52 4x 6 6 y 2 4x 20x 30 1 20x 20 24 30 6 3 5x 2y 2 0 15x 10y 30 2 Sox 20 20 30x 4y 60 32x 32 5 4x 4y 165 7 3x 5y 28 4 30 30 1 2 242 24 40 20 X 2 20x 20y 40 12x2y 11 192 32 X 6 24 x 11 mination 5 2 2y 2 10 2y 2 10 2 61 9 61 2 16 21 4 4 6 4y X6 28 44 16 24 78 8y 2 y 4x Ay 16 6x 3y 15 6 y x 11 8x 3y 21 4x 3y 10 8x 10