Take the derivative:
g’(x) = 12x^3 - 24x^2
Set equal to zero and solve:
0 = 12x^3 - 24x^2
0 = 12x^2 (x - 2)
x = 0 or x = 2
Plug back into original
g(0) = 3(0^4) - 8(0^3)
g(0) = 0 - 0
g(0) = 0
g(2) = 3(2^2) - 8(2^3)
g(2) = 3(4) - 8(8)
g(2) = 12 - 64
g(2) = -52
There is an absolute max at (0,0) or when x = 0
So there's 5 body types each with 4 colors. 5x4 is 20. For each of these 20 cars there is 3 kinds of upholstery. 20x3 is 60. Therefore, the dealer would need a minimum of 60 cars to show his complete line. Hope this helped!
Answer: Second option.
Step-by-step explanation:
Let be "e" the number of easy puzzles Tina solved and "h" the number of hard puzzles Tina solved.
Set up a system of equations:

You can use the Eliminationn Method to solve this system of equations:
- Multiply the first equation by -30.
- Add the equations.
- Solve for "h".
Therefore, through this proccedure, you get:

Answer:
Answer: -0.008
Step-by-step explanation:
Hope this helped!