Answer:
Part A)
Part B)
Step-by-step explanation:
Par A) Write an equation that relates the distance D this car travels in T hours
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
The speed is a proportional relationship between the distance and the time
Let
D ----> the distance in miles
T ----> the time in hours
so
In this problem the constant of proportionality k represent the speed of the car in miles per hour
we have

substitute
Part B) Use the equation to find the distance the car travels between 3:30 p.m. and 5:00 p.m
we know that
The time between 3:30 p.m. and 5:00 p.m is equal to
5:00 p.m-3:30 p.m=1.5 hours
so
For T=1.5 h
substitute in the equation and solve for D
Answer:
pls kindly provide the following theorems
The y-intercept of linear function (f- g)(x) is (0,9)
<h3>How to determine the y-intercept?</h3>
The table of values is given as:
x -6 -4 -1 3 4
f(x) 15 11 5 -3 -5
g(x) -36 -26 -11 9 14
The equations of the functions is calculated using:

So, we have:

Evaluate
f(x) = -2x + 3
Also, we have:

Evaluate
g(x) = 5x - 6
Next, we calculate (f - g)(x) using:
(f - g)(x) = f(x) - g(x)
This gives
(f - g)(x) = -2x + 3 - 5x + 6
Substitute 0 for x
(f - g)(0) = -2(0) + 3 - 5(0) + 6
Evaluate
(f - g)(0) = 9
Hence, the y-intercept of (f- g)(x) is (0,9)
Read more about linear functions at:
brainly.com/question/24896196
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Answer:
Step-by-step explanation: