Answer:
r = 13
Step-by-step explanation:
The first step is to find b from y=mx=b using m=4/3 and (-4,8)

After solving the equation, b will equal -16/3 making the final equation be

Using the equation, you can solve for r.

This will bring the answer being r = 13
The unit rate will be "23.5 miles/gallon". In the below segment, a further solution to the given question is provided.
Given values in the question are:
Total distance,
= 188 miles
Total gas used,
= 8
Now,
⇒ The rate of gas consumption will be:
= 
By putting the given values in the above formula, we get
= 
= 
Thus the above is the appropriate solution.
Learn more about gas consumption here:
brainly.com/question/17321062
Answer:
The cost increase for each square of carpet by 12.
Step-by-step explanation:
The given function is

It is a slope intercept form of the line

Where m is the slope and b is y-intercept.
Therefore the slope of given function is 12 and the y-intercept is 50.
It means the initial ot fixed cost of the carpet is 50 and the cost increased by 12 for each square of carpet.
You should add the picture so we can see
Answer:
h³- 8h² + 16h
Step-by-step explanation:
The problem tells us that the length and width of these boxes are both 4 inches less than the height of the box.
So if we name <u>h the height of the box</u>, the <u>width of the box would be h - 4 </u>and the <u>height of the box would be h - 4.</u>
Now, the volume of a rectangular prism is given by V = height x width x length
So, considering the values we have in this problem we get:
V= height x width x volume
V = h (h-4)(h-4)
V= h(h-4)²
V= h (h²-8h + 16)
V = h³- 8h² + 16h
Therefore, the polynomial representing the volume of this box in terms of the height is h³- 8h² + 16h