What is the answer to 4/5w = 8
2 answers:
You might be interested in
Answer:
.
Step-by-step explanation:
We have been an division problem: .
We will simplify our division problem using rules of exponents.
Using product rule of exponents we can write:
Substituting these values in our division problem we will get,
Using power rule of exponents we will get,
Using product rule of exponents we will get,
Using power rule of exponents we will get,
Using quotient rule of exponent we will get,
Therefore, our resulting quotient will be .
so, let's recall that the volume of a rectangular prism, namely a box, is Lwh, just the product of its dimensions, length, width and height.
now, check the 1st picture below. we know the original paperboard is a 16x14, so the width, as you see in the picture is w = 8 - x, its length is L = x, and its height is 14 -(x/2) - (x/2).
now, let's find the critical points, by setting the derivative to 0, and then we'll do a first-derivative test.
now, if we plot those two points, we get 3 regions, and then we check each of those regions to see what's the value of the first derivative.
check the 2nd picture below, that'd be the first derivative test, as you can see from the arrows, the slope increases and then decreases at 3.28, namely that critical point is the maximum, so the Volume maximizes at x = 3.28.
