Answer:
Step-by-step explanation:
f(x) = -4cos(3x-pi) +2
compare to f(x) = A cos (B(x+C))+D
A is amplitude =4
Period is 2pi/B so period = 2pi/3
Phase shift is C so phase shift = -pi (this could be positive if it shifted to the left)
Midline is at D so midline is y=2
1.
The rate at which Leonard bought was 2 packs per x dollars,
that is his buying rate was (2 packs)/(x dollars)=2/x (p/$)
2.
with 1 $ Leonard buys 2/x packs
then
with 5 $ Leonard buys (2/x)*5 = 10/x packs.
Answer: 10/x packs
The function that is growing at the fastest rate is p(x) = 12x^3 + 9.
This is a cubic function, meaning that x is raised to the third power. This is the only function that is raised to the third power, so it will increase the fastest.
Answer:
x < 4
Step-by-step explanation:
12 – 5x > -8
Subtract 12 from each side
12-12 – 5x > -8-12
-5x> -20
Divide each side by -5, remembering to flip the inequality
-5x/-5 < -20/-5
x < 4
