The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −7 0 −1 1 5 g(x) g(x) = 5x − 4 Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). Part B: Which function has a greater y-intercept? Justify your answer

Part A: The slope of the function f( x ) is one greater than the slope of the function g( x ), f( x ) having 6 as the slope, and g( x ) having 5,

Part B: The function f( x ) has a greater y - intercept.

Step-by-step explanation:

I believe you meant the table to be the following,

x | f(x)

- 1 - 7

0  - 1  

1    5 .... if that is so, we can determine the slope in two ways through the change in the y - axis over the change in the x - axis. f( x ), otherwise known to function of x, is also known as the y - value. Therefore, if f( x ) changes by an additional 6, and x changes by an additional 1, we know that the slope should be , or 6.

Now the function " " is in point - slope form, so we know that the slope is coefficient of x, in this case 5. We can compare the slopes by the following claim -

Part A Solution: The slope of the function f( x ) is one greater than the slope of the function g( x ), f( x ) having 6 as the slope, and g( x ) having 5.

To determine the y - intercept of the function f( x ), we can check the point ( 0, - 1 ). When x is 0, y is - 1, and therefore the y - intercept should be - 1. At the same time the function g( x ) has a y - intercept of - 4, as it is in the form g( x ) = m x + b, where b = y - intercept. Part B Solution: Thus, the function f( x ) has a greater y - intercept.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

addition

step-by-step explanation: