Answer:
D
Step-by-step explanation:
f(x) = -3x^3 + x^2 – 3 f(2) means that wherever you see a x, put in a 2.
f(2)= -3(2)^3 + (2)^2 - 3
f(2) = -3*8 + 4 - 3
f(2) = - 24 + 1
f(2) = - 23
Answer:
I believe they would have to sell 152 lollipops
Step-by-step explanation:
Answer:
10 miles per 1/4 hour
40 miles per hour
Step-by-step explanation:
Given that:
A car travels 20 miles in 1/2 hour
Miles traveled per hour :
(20 * 2) / 1 = 40 miles per hour
Mile traveled in 1/4 hour :
Distance = speed * time
Distance = 40 mph * 1/4 = 10 miles per 1/4 hour
Car traveling 30 miles in 3/4 hours
(30 * 4) /3 = 120 / 3 = 40 miles per hour
Distance = 40 mph * 1/4 = 10 miles per 1/4 hour
Step-by-step explanation:
the derivative of an inverse function is
1/f'(f^-1(x))
f'(x) = -6x²
f^-1(7) is solving the original function equation for x under the knowledge that y = 7
7 = 5 - 2x³
2 = -2x³
-1 = x³
=>
x = -1
f'(-1) = -6×(-1)² = -6×1 = -6
so,
(f^-1)'(7) = -1/6