Write your answers on notebook paper. Show your work. 1. Given f(x) = x2 − 4x + 5, find each value. a. f(2) b. f(−6) 2. Find the slope and y-intercept. a. y = 3x − 4 b. 4x − 5y = 15 3. Graph each equation. a. 2x + 3y = 12 b. x = 7 4. Write an equation for each line. a. line with slope 3 and y-intercept −2 b. line passing through (2, 5) and (−4, 1) 5. Write the equation of the line below. A line with a y-intercept of 6 and a slope of negative 1 is graphed on a 4 quadrant coordinate grid. 6. Using the whole number 5, define the additive inverse and the multiplicative inverse. 7. Solve 3(x + 2) + 4 = 5x + 7. 8. What is the absolute value of 2 and of −2? Explain your response. 9. Solve the equation for x. 3x+yz=2 You Started Thursday, August 13th 2020 - 8:00 am 3 x + y = 2 z 3 x = − y + 2 z x = 2/3z - y/3 10. Which point is a solution to the equation 6x − 5y = 4? Justify your choice. (1, 2) (1, −2) (−1, −2) (−1, 2) 11. Find the domain and range of each relation. a. y = 2x + 1 b. input 3 7 11 output −1 −3 −5 c. d. Graph of a function, shaped like a curve, with a vertex on y = negative 4, on a 4 quadrant coordinate grid. 12. How many lines of symmetry exist in the figure shown in Item 11c?

please find the answer in the explanation

Step-by-step explanation:

Given f(x) = x2 − 4x + 5,

To find each value. a. f(2) b. f(−6) , substitute x for each value

A.) F(2) = 2^2 - 4(2) + 5

F(2) = 4 - 8 + 5 = 1

B.) F(-6) = (-6)^2 - 4(-6) + 5

F(-6) = 36 + 24 + 5 = 65

2.) Find the slope and y-intercept.

a. y = 3x − 4

Slope = 3 and intercept = -4

b. 4x − 5y = 15 

First rearrange

-5y = -4x + 15

Y = 4/5 x - 3

Slope = 4/5 and intercept = 3

4. Write an equation for each line. a. line with slope 3 and y-intercept −2 b. line passing through (2, 5) and (−4, 1)

Given that x = 2 and y = 5

3 = (y - 5)/( x - 2)

Cross multiply

3x - 6 = y - 5

Y = 3x - 1

Also, given that x = -4 and y = 1

Repeat the same process

3 = (y - 1)/(x + 4)

3x + 12 = y - 1

Y = 3x + 13

5. Write the equation of the line below. A line with a y-intercept of 6 and a slope of negative 1 is graphed on a 4 quadrant coordinate grid.

The equation will be:

Y = -x - 6

6. Using the whole number 5, define the additive inverse and the multiplicative inverse.

Additive inverse of 5 = -5

Multiplicative inverse of 5 = 1/5

7. Solve 3(x + 2) + 4 = 5x + 7.

Open the bracket

3x + 10 = 5x + 7

Collect the like terms

2x = 3

X = 3/2

8. What is the absolute value of 2 and of −2? Explain your response. 

Absolute value of any number is always positive. The answer to both questions is 2

11. Find the domain and range of each relation. a. y = 2x + 1

Domain: x = all real numbers

Range: y = all real numbers

b. input 3 7 11 output −1 −3 −5 c. d. Graph of a function, shaped like a curve, with a vertex on y = negative 4, on a 4 quadrant coordinate grid. 12. How many lines of symmetry exist in the figure shown in Item 11c?

question

what is the value of the third quartile of the data set represented by this box plot? a. 19 b. 21 c. 26 d. 29

answer

c

i need a picure

step-by-step explanation: