Given a polynomial
and a point
, we have that

We know that our cubic function is zero at -4, 0 and 5, which means that our polynomial is a multiple of

Since this is already a cubic polynomial (it's the product of 3 polynomials with degree one), we can only adjust a multiplicative factor: our function must be

To fix the correct value for a, we impose
:

And so we must impose

So, the function we're looking for is

Answer
y = 0.2x − 7
Step-by-step explanation:
Find the slope first by subtracting (10, -5) and (5, -6) in slope formula, this will equal 1/5 or 0.2
Then find the y-intercept which is the point that crosses the y-axis, in this case -7 is the y-intercept
Finally format in y=mx + b for slope-intercept form
y=0.2x-7
A because the formula is s^2h/3 and if you plug it in, it's A.
The volume of this right prism that has a triangular base is equal to 108 cubic meters.
<h3>The volume of a right prism.</h3>
Mathematically, the volume of a right prism is given by this formula:
V = L x W x H
<u>Where:</u>
<u>Given the following data:</u>
Length of base = 6 meters.
Width of base = 4 meters. cm.
Height of prism = 4.5 meters.
Substituting the given parameters into the formula, we have;
V = 6 x 4 x 5
V = 108 cubic meters.
Read more on volume of prism here: brainly.com/question/3867601