Answer:
It will take one class
Step-by-step explanation:
Tamir will earn $109 every month (his base salary and additional $14 equals to $109). This means after one class he will be able to earn back the money he spent of becoming an instructor.
If s(t) = 3 sin(2 (t - π/6)) + 5, then the derivative is
s'(t) = 3 cos(2 (t - π/6)) • 2 = 6 cos(2 (t - π/6))
The critical points of s(t) occur at the values of t where s'(t) is zero or undefined. s'(t) is continuous everywhere, so we only need worry about the first case. We have
6 cos(2 (t - π/6)) = 0
cos(2t - π/3) = 0
2t - π/3 = arccos(0) + nπ
(where n is any integer)
2t - π/3 = π/2 + nπ
2t = 5π/6 + nπ
t = 5π/12 + nπ/2
If you're only looking for t in the interval [0,2π), then you have four critical points at t = 7π/12, t = 11π/12, t = 17π/12, and t = 23π/12.
Answer:
The answer is 0.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
If the original price is x and you deduct 3, you'l have x - 3.
If you buy 4 of them, you multiply that price by 4, giving you 4(x - 3).
Then, if that value is equal to 27, you get 4(x - 3) = 27
Answer:
x = -1 or x = -3
Step-by-step explanation:
x + 3/x = -4
x² + 3 = -4x
x² + 4x + 3 = 0
(x + 1) (x + 3) = 0
x = -1 or x = -3
check: (-1) + (3/-1) = -1 - 3 = -4
(-3) + (3/(-3)) = -3 -1 = 14
