Answer: (-3,4) and (9,20)
I think these two points will make the answer you have been looking for.
<span>The area of the base is x^2> The height is h. Each side of the box has area xh. There are 4 sides of the box so the total surface area of the box is x^2+4xh and that is equal to 1000. Solve that equation for h:
x^2+4xh = 1000 h = (1000-x^2)/4x so the Volume = x^2[(1000-x^2)/4x]
Simplify and get V = 250x-x^3/4
The volume will be a maximum when its first derivative is 0.
V' = 250-3/4x^2
Set to 0 and solve. x=18.26
Now plug into the volume function to find the maximum volume:
V=250(18.26)-(18.26)^3/4
V= 4564.35 - 1522.10 =3042.25</span>
Answer:
The value of x is greater than or equal to 7/6
Step-by-step explanation:
Solve the inequality for x
Subtract 3.75 from both sides
Now divide both sides by 1.5
Simplify the fraction by dividing top and bottom by 0.25
The value of x is greater than or equal to 7/6
Distributive Property because 12(x+4)= 12x (the first number or letter in the parenthesis times 12) plus 12x4 (the second number in the parenthesis)
So together it is:
12x+(12x4)
Find the Greatest Common Factor of both numbers which is 5. Then divide the numerator by 5 and the denominator by 5 and you will get 5/16 as the simplest form
