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:
C
Step-by-step explanation:
The line of symmetry is a line that splits the figure into 2 halves where each half is a mirror image of the other. In the third figure, if a line is drawn through x = -1, the halves mirror each other. If a line is drawn through y = -2, the top and bottom halves mirror each other.
9514 1404 393
Answer:
A. 2
Step-by-step explanation:
The perimeter is the sum of the side lengths:
48 = (3t +3t) +(4t +4t) +(7t +6)
42 = 21t . . . . . . . . . . . . . . . . . . . collect terms, subtract 6
2 = t . . . . . . . . divide by 21
Answer:
33
Step-by-step explanation:
I am not hundred percent sure this the best I got
Answer:
Step-by-step explanation:
f=20
Im a god bro
