Standard Equation for trig function: y = A cos (B (x - H))+ K
*Here, we are just dealing with A (amplitude) and B (period)
Period = 2π/ b
8 = 2π/ b
Solve for b: 2π/8 or π/4
Equation: y = 2 cos (π/4 (x))
Answer:
N = 52 * (9/7)^(t/1.5)
Step-by-step explanation:
This problem can be modelated as an exponencial problem, using the formula:
N = Po * (1+r)^(t/1.5)
Where P is the final value, Po is the inicial value, r is the rate and t is the amount of time.
In our case, we have that N is the final number of branches after t years, Po = 52 branches, r = 2/7 and t is the number of years since the beginning (in the formula we divide by 1.5 because the rate is defined for 1.5 years)
Then, we have that:
N = 52 * (1 + 2/7)^(t/1.5)
N = 52 * (9/7)^(t/1.5)
Answer:
32 US dollars
Step-by-step explanation:
The two answers are the one selected and the choice |x-5| ≤ 1. The steps to solve the other equation are:
|x-5| ≤ 1
x-5 ≤ 1, x-5 ≥ 0
-(x-5) ≤ 6, x-5 is less than 0
x ≤ 6, x ≥ 5
x ≥ 4, x is less than 5
x ∈ [5,6]
x ∈ [4,5]
4 ≤ x ≤ 6
(^which was the original answer^)
Answer:
Step-by-step explanation:
5x - 1 = 4x + 3
x - 1 = 3
x = 4
5(4) - 1 + 4(4) + 3
20 - 1 + 16 + 3
19 + 16 + 3 = 35 + 3 = 38
