The dollar price for a barrel of oil sold at a certain oil refinery tends to follow the demand equation below, where x is the nu
1 answer:
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Hey there!
This is a one-step equation, meaning that we can solve it in one step.
This is the step:
- Subtract 14 from both sides
Goal:
- To find out the value of x
Subtract 14:
x+14-14=63-14
the 14's on the left cancel:
x=49
Hence, the answer is
Hope everything is clear.
Let me know if you have any questions!
#LearningDoesn'tEnd
:-)
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