Answer:
V = x(24 - x)^2 cm^3.
Domain = (0, 24).
Step-by-step explanation:
a. Let the lengths of the sides of the squares be x cm.
Then the lengths of the sides of the base of the box will be (24 - 2x) cm.
The height of the box will be x cm.
So the required volume
= height * area of base
So V = x(24 - x)^2
b. The domain of this function is (0, 24).
Answer:
f'(x)=-(x+42)/5
Step-by-step explanation:
Rewrite f(x) as y:
y=-5x-42
Flip x and y and solve for y:
x=-5y-42
x+42=-5y
(x+42)/-5=y
So the inverse function is f'(x)=-(x+42)/5 (note that f' means inverse)
-102.174. Just plugged into a calculator
Exact Form:
w = 4/5
Decimal Form:
W= 0.8
Yes, -3.14 × -5 does equal 15.7