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
Answer: 5
Step-by-step explanation: 6/7+ 6 each = 12/13
Answer:
See Explanation
Step-by-step explanation:
1:A
2:B
3:A
4:A
5:B
6:B
Answer:
7) a
8) b
I'll give an explanation if you request one.
Answer:
g(f(x)) = 3x^2 + 6x -11
Step-by-step explanation:
g(f(x)) = 3(x^2 + 2x - 4) + 1
= 3x^2 + 6x -12 + 1
= 3x^2 + 6x -11