<h3>
Answer: C) -1/2</h3>
=============================================
Explanation:
We'll apply the derivative to get
g(x) = 4x^3 + 3x^2
g ' (x) = 3*4x^2 + 2*3x
g ' (x) = 12x^2 + 6x
Set that equal to 0 and solve for x. We do this to find where the horizontal tangents are located.
g ' (x) = 0
12x^2 + 6x = 0
6x(2x + 1) = 0
6x = 0 or 2x+1 = 0
x = 0 or x = -1/2
Adding those two said solutions yields us the final answer choice C
Step-by-step explanation:

Answer:
x=-1
Step-by-step explanation:
4(x-3(-2))=6(x-3(-2)) => 4(x+6)=6(x+6) => 4x+24=6x+26 => -2=2x => x=-1
Answer:
Water left in tank is
gallons.
Step-by-step explanation:
Given :
Capacity of tank = 9.5 gallons 
Water taken out of tank =
gallons
We have to find the water left in the tank.
Water left in the tank = Total capacity of tank - water taken out of tank
=
Taking LCM of (3,10)= 30

Solving further, we get,


Thus, Water left in tank is
gallons..