Simplify 0.3 + 1 3/4a. 2 1/2b. 1 3/7c. 4 3/4d. 2 1/20
2 answers:
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Answer:
B: a = 1, b= 7, c = -2
Explanation:
Knowing This:
<u>solve for b</u>
- -b = -7
- b = 7
<u>solve for a</u>:
- 2a = 2
- a = 1
<u>solve c</u>:
- b² - 4ac = 57
- 7² - 4(1)(c) = 57
- -4c = 57 - 49
- -4c = 8
- c = 8/-4 = -2
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