Quadratic equations Questions and Answers

Solve the equation F 0 64 125

Which of the following rational exponent expressions is NOT simplified correctly as a radical expression

Graph the function Based on the graph state the domain and the range and find any intercepts x 2 if x 2 x 2 if x 2 f x e Choose the correct graph of f x

If 36 25 what does 6 equal 6 Simplify your answer Type an integer or a fractio

Determine whether the function given by the table is linear exponential or neither If the function is linear find a linear function that models the data if it is exponential find an exponential function that models the data X 0123 2 3 f x 1 3 O A The function is linear A linear function that models the data is f x Simplify your answer Select the correct choice below and fill in any answer boxes within your choice 139 27 OB The function is exponential An exponential function that models the data is f x Simplify your answer O C The function is neither linear nor exponential

Determine whether the function given by the table is linear exponential or neither If the function is linear find a linear function that models the data if it is exponential find an exponential function that models the data C X 1 0 1 2 3 f x OB The function is exponential An exponential function that models the data is f x Simplify your opower 5 1 5 25 49 125 343 Select the correct choice below and if necessary fill in the answer box to complete your choice OA The function is linear A linear function that models the data is f x Simplify your answer

Using P t Poekt suppose that 5000 is invested in a savings account where interest is compounde continuously at 2 5 per year You may utilize your calculator to find answers show the work to g there algebraically a Find the exponential equation that models this scenario b What is the balance after 1 year 2 years How long will it take for the original investment to double

9 8x 11x 11 5n 11n 13 12r 5 3r 5 10 4p 2p 12 n 4 9 5n 14 5 9n 6

5 Amy has 50 books 2 of her books are non fiction How many non fiction books does she 5 have 20

3 Are 5ab and 4ac like terms Why or why not

2 Are 6b and 6b like terms Why or why not

1 Are 4b and 8b like terms Why or why not

b Find the sum of 3x 4 and 2x 10

9 Combine like terms in the expression 3x4 2x8 5x

Use the parent function f x b to graph h 1 11 The domain of h is The range of his The equation of the

Solve the system of equations by using the inverse of the coefficient matrix of the equivalent matrix equation x 4y 23 7x 5y 4 The inverse of matrix A A is

Solve the system of equations using the inverse of the coefficient matrix of the equivalent matrix equation x y z 0 2y z 1 5 4x 3y The solution is D Type an ordered triple Type an integer or a simplified fraction

D 5 5 8x 4X6x x 4 A 21 38 41x 6 B 7x14x 4x 3 C 20x 34x 26x 4 D 48x 32x 28x 16 6 6 8k 7X4 2k 2 A 428 78 60k 24 B 16 34 35 C 11 238 3 D 324 124 30 14

8 10 8 8b 3 8b 5b 8 A 6b 56 246 7 B 216 3462 26 8 C 86 33b2 3b 4 D 64b 64b 49b 24 10 7b 6b 7 6b 8b 5 A 16b 546 92b 54b 40 B 16b 18b 40 C 426 92b 125b 86b 35 D 16b 42b 56b 6b 40

7 7 2k 8 6k 5k 8 A 12k 38k 24k 64 B 12k 34k2 30k 8 C 10k 44k 12k 16 D 25k 48 34k 9 7b b 4 3b 4b 1 A 2164 25b b 17b 4 B 216 46 4 C 1664 206 346 8b 5 D 126 326 7b 36b 15

2 4 2 2n 5 8n 2 A 16n 36n 10 B 28n 45n 18 C 28n 3n 18 D 28n 18 4 n 4 2n 7 A 2n n 28 B 2n 28 C 2n 15n 28 D 2n 15n 28

Listen Write an equation of the line that passes through 2 7 and is perpendicular to the line y x 9 An equation of the perpendicular line is

Write an equation in slope intercept form of the line that passes through 5 4 and 6 9 An equation is

6 44 Example Find u P2 R such that 1 p t cos t dt 1 for every p P R S L PU p t u t dt

Write a piecewise function represented by the graph y 2 2 2 7 ifx 0 ifx 0

Write a step function represented by the graph y 7 1 2 1 1 w 4 5 6 Y 2 3 x if 5 x 3 if 3 x 1 if 1 x 1 if 1 x 3

Kuta Software LI Multiply Polynomials Find each product 1 2n 2 n 3 A 2n 6 B 2n 4n 6 C 14n 24 D 14n 62n 24 3 7x 8 2x 3 A 6x 31x 30 B 14x 24 C 14x 5x24 D 14x 37x 24 5 8x 4 6x x 4 A 21x 38x 41x 6 B 7x 14x 4x 3 C 20x 34x 26x 4 D 48x 32x 28x 16 7 2k 8 6k 5k 8 A 12k 38k 24k 64 B 12k 34k 30k 8 C 10k 44k 12k 16 D 25k 48 34k All rights reserved 2 4 LO 6 8 2 2n 5 8n 2 A 16n 36n 10 B 28n 45n 18 C 28n 3n 18 D 28n 18 4 n 4 2n 7 A 2n n 28 B 2n 28 C 2n 15n 28 D 2n 15n 28 6 8k 7 4k 2k 2 A 42k 78k 60k 24 B 16k 34k k 35 C k 11k 23k 3 D 32k 12k 30k 14 8 8b 3 8b 5b 8 A 6b 5b 24b 7 B 216 34b 2b 8 C 86 33b 3b 4 D 64b 64b 49b 24

Use the graph of f x x to sketch the following functions Label your graphs a f x x 2 b f x x 2 c f x x 2 2

As students were exiting the student center on campus Vicki took note whether they were listening to headphones The table shows results that she collected Based on Vicki s data what is the probability that a randomly selected student will have no headphones in their ears when exiting the student center Express your answer as a fraction in lowest terms or as a decimal rounded to the nearest millionth if necessary Data for Students Exiting the Student Center Headphones Number of Students 35 Iso

A standard die is rolled Find the probability that the number rolled is less than 2 Express your answer as a fraction in lowest terms or a decimal number rounded to three decimal places if necessary

The blood types of 500 people are collected at a doctor s office The table shows the breakdown of patients by blood type If a person from this group is selected at random what is the probability that this person has type O blood Express your answer as a fraction in lowest terms or as a decimal rounded to the nearest millionth if necessary Answer Blood Type Survey Results Blood Type A B O AB Number of Patients 155 145 155 45 Keypad

If three more than twice x is added to x divided by 4 what is the value of the expression if x is equally to 12 212 224 3 27 12 8 3 27 3

6 Write an expression for twice the sum of a and 2b and then evaluate your expression if a is equal to 8 and b is equal to 4 2xa 26 4 9 8

Find the roots of the function by graphing y 2x 4x 6 1 I 91 8 71 61 51 41 31 21 11 I I Ch 3 1 3 PLEASE SHOW ALL OF YOUR We I I 3 16 17 11 12 13 14 I I I I 1 1 1 15 16 1 I T I 17 I I T 1 18 I 19 1 1 I

0 x 6x 12 0

4x 19x 12 0 10 x 6

4 48 48

Ch 3 1 3 3 Quiz PLEASE SHOW ALL OF YOUR WORK AND BOX YOUR ANSWERS Find the roots of the function by graphing y 2x 4x 6 Simplify 2 1 7 51 2 31 a 2 b 4 9 6 121 121 1 Block 5 72 5 3 4 3i 6 4 48

Find functions f and g so that f o g H H x 9x 5 Choose the correct pair of functions O A f x x 5 g x x 9 O B f x x g x x 5 9 OC f x 9x 5 g x x O D f x x g x 9x 5

Details expression for the area of the shaded region of the figure 5 712 K 5 6x 4153

L 2 A 3 A 4z 4 li Question Details Find an expression for the perimeter of the figure 1 2z 2 1 1 1 Z 5 Z 1

h x 3x 18x 12

3x 5x 12

5x 6x 2 0

The comprehensive graphs of four polynomial functions are shown in A D A C 1000 In 8 B 12 175 G Which of the graphs cannot be that of a cubic polynomial function 200 59 The graph s in cannot be the graph of a cubic polynomial function Type A B C or D Use commas to separate answers as needed D O Allia

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