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:
7 socks were sold
Step-by-step explanation:
7*8=56
11-7=4
4×11=44
56+44=100
This proves the answer of 7 to be correct
Answer: 
Step-by-step explanation:
Here w shows the number of weeks and t shows the total amount in w weeks.
Since, the initial amount he paid to her = $ 50
After that he paid $ 5 per week.
Thus, the total extra amount he paid = 5 w
⇒ The total amount he paid to her = 50 + 5 w
⇒ t = 50 + 5 w
Which is the required relation between the total amount paid(t) and the number of weeks (w) Jake will take to pay Luna.
Answer:
16 cm, 30 cm, 34 cm
Step-by-step explanation:
I got this answer simply by plugging each number into my calculator with the following equation:
When you the lower numbers into the equation, if the lengths really do give you a triangle, then you should get the largest number as your output. This can help you with any of the other questions that you may have to answer.
Step-by-step explanation:
12 is rounded to 10
22 is rounded to 20
20×10= 200
