Someone take your time to me, i very much appreciate it.

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). (6 points)

part b: which function has a greater y-intercept? justify your answer. (4 points)

A) The slope of f(x) is greater than the slope of g(x).

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

Step-by-step explanation:

A) Calculate the slope of f(x) with the following formula:

Choose two points and susbtitute them into the formula, then the slope is:

The equation of the line is:

Where m is the slope and b is the y-intercept.

Therefore, the slope of g(x) is:

g(x)=5x-4

m=5

Then the sentence that compares the slopes is: The slope of f(x) is greater than the slope of g(x).

B) As you can see in the equation of the line shown above b is the y-intercept: g(x)=5x-4

Therefore, the y-intercept of g(x) is -4

The slope of f(x) can be determined by remembering that the line intersects the y-axis when x=0.

Then, as you can see in the table, when x=0, y=-1

Therefore the y-intercept of f(x) is -1.

Then, the f(x) has a greater y-intercept.

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct