The answer to a is b and for b is c
Answer:

Step-by-step explanation:
To determine for which value of x a pair of expressions will be equal, we will need to set them equal to each other and then solve for x.

First, we can add 4 to each side

Now we can subtract 2x from each side

Now, just to check our answer, we can plug in our answer back into the original equation to see whether we get the same result for each side

The polynomial a(x) = -18x² - 6x + 12 is the dividend of the polynomial division
The quotient q(x) is 0 and the remainder r(x) is -18x² - 6x + 12
<h3>How to divide the polynomial?</h3>
The polynomial functions are given as:
a(x) = -18x² - 6x + 12
b(x) = 3x³ + 9x - 1
The quotient equation is given as:
a(x)/b(x) = q(x) + r(x)/b(x)
Since the degree of the dividend a(x) is less than the degree of the divisor b(x), then it means that the value of the quotient q(x) is:
q(x) = 0
And the remainder r(x) is:
r(x) = a(x)
Substitute known values
r(x) = -18x² - 6x + 12
Hence, the quotient q(x) is 0 and the remainder r(x) is -18x² - 6x + 12
Read more about polynomial division at:
brainly.com/question/25289437
Answer:

Explanation:
Here, we want to get the maximum load supported
From the first part of the question, we have it that:
The maximum load g, varies jointly with the width w and the height h, and inversely as the length l between the supports
Mathematically, we have that as:

where k is the proportionality constant
Now, let us get the value of k
We substitute the first set of values as follows:

Now, using this value of k, we want to get the value of g
Mathematically, we have that as:
the answer is $32 you divide 160 by 5