George and Maria decided to create a garden in their backyard. George Works on the garden every third day and Maria works on the
2 answers:
Answer:
12th day
Step-by-step explanation:
We are given that George and Maria decided to create a garden in their backyard.
George works on the garden every third day and Maria works on the garden every fourth day.
We have to find that if they worked on the garden today ,the number until they would be work on the same day again
In order to find that day they would be work together we are finding lcm
We have to find the lcm of 3 and 4
Lcm ==12
Hence, lcm of 3 and 4=12
Therefore, George and Maria work together on the 12th day again.
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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