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:
1] x=4.21
2] 52.5
3] 3.82
4] 38.73
5] 32.005
6] 31.21
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let Kaylee used the amount of green paint in the mixture = x ounces
and the amount of white paint = y ounces
Total amount of mixture = 50 ounces
Equation will be x + y = 50 ------(1)
Ratio of green paint to the white paint in the mixture = 5 : 3
⇒ x : y = 5 : 3
⇒ 
⇒ x = 
---------(2)
Therefore, By solving these two equations by substitution method we can get the amount of green and white paint used in the mixture.
If you put brackets around (2+1), your method of working is:
1) 15-4*(2+1)=3
2) 15-4*3=3
3) 15-12=3
You don't need any more brackets, as the BIDMAS (brackets, Indices, division, multiplication, addition, subtraction) rule does the rest of the job for you.
The answer is therefore: 15-4*(2+1)=3
