Answer:
Answer: d 12x^3 + 3
Step-by-step explanation:
This is a composite function. Just insert g(x) into the x of f(x)
f(x) = 3x
3(4x^2 + 1)
Distribute the three
3(4x^2 + 1)
12x^3 + 3
So when y=32 it is 4x more than the original y which means they've multiplied it by four. Whatever you do to one you have to do to the other side so you multiply 2 by 4 to get 8 so x=8
You can make them have the same denominator and then compare
so as you can see,
Answer:
a. C(x) = 24,000 + 100x
b. R(x) = 200x
c. Break-even point is 240 canoes
Step-by-step explanation:
a. Cost function is C(x) = FC + pcost * x
C(x) = 24,000 + 100x
Where
FC=Fixed cost = 24,000
pcost=costs to prod canoes = $100
x=produce quantity
b.Revenue function
R(x) = Px * x
R(x) = 200x
Where
Px=Price
x=produce quantity
c. Break-even point is the amount of canoes where revenue are the same as cost. We cover the total cost with the sales.
So, FC + pcost * x=Px * x
24,000 + 100x=200x
Isolating x
24,000 =200x- 100x
100x=24000
x=24,000/100
x=240
