Answer:
Step-by-step explanation:
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During a fundraiser, Ms. Dawson’s class raised $560, which is 25% more than Mr. Casey’s class raised.
2 answers:
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Answer:
a. V = (20-x)
b . 1185.185
Step-by-step explanation:
Given that:
- The height: 20 - x (in )
- Let x be the length of a side of the base of the box (x>0)
a. Write a polynomial function in factored form modeling the volume V of the box.
As we know that, this is a rectangular box has a square base so the Volume of it is:
V = h *
<=> V = (20-x)
b. What is the maximum possible volume of the box?
To maximum the volume of it, we need to use first derivative of the volume.
<=> dV / Dx = -3 + 40x
Let dV / Dx = 0, we have:
-3 + 40x = 0
<=> x = 40/3
=>the height h = 20/3
So the maximum possible volume of the box is:
V = 20/3 * 40/3 *40/3
= 1185.185
We have this equation:
So, we need to solve this equation for L. Then we sum -2W in each member of the equation, like this:
Then, dividing the equation by 2:
Finally, let's order this equation:
So, we need to solve this equation for L. Then we sum -2W in each member of the equation, like this:
Then, dividing the equation by 2:
Finally, let's order this equation: