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?

the answer is a

step-by-step explanation:

because your just changing the position of where the shape is

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be