Answer: D
<u>Step-by-step explanation:</u>
f(x) = 2x g(x) = x² - 1
f(g(x)) = 2(x² - 1)
= 2x² - 2
g(f(x)) = (2x)² - 1
= 4x² - 1
gas mileage = k*s, where k is a constant of proportionality and s is the speed. Unfortunately, this does not take into account the fact that the engine consumes fuel even when the car is not moving.
Here it makes most sense to regard {0, S} as the domain for this function. Here, S would represent the car's top speed.
Answer:
I have made it in above figure so each angle will 150 degree
By solving for x you get x=6
Answer:
x=-3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(x−6)+6=5x−6
(3)(x)+(3)(−6)+6=5x+−6(Distribute)
3x+−18+6=5x+−6
(3x)+(−18+6)=5x−6(Combine Like Terms)
3x+−12=5x−6
3x−12=5x−6
Step 2: Subtract 5x from both sides.
3x−12−5x=5x−6−5x
−2x−12=−6
Step 3: Add 12 to both sides.
−2x−12+12=−6+12
−2x=6
Step 4: Divide both sides by -2.
−2x
−2
=
6
−2
x=−3