Answer:
x = π/12, π/4, 3π/4, 11π/12, 17π/12, 19π/12
Step-by-step explanation:
sin(4x) cos x − sin x cos(4x) = √2 / 2
Use angle difference formula.
sin(4x − x) = √2 / 2
sin(3x) = √2 / 2
3x = π/4 + 2kπ, 3π/4 + 2kπ
x = π/12 + 2kπ/3, π/4 + 2kπ/3
x = π/12, π/4, 3π/4, 11π/12, 17π/12, 19π/12
Answer:
Exponential decay
Step-by-step explanation:
Hi there!
We know that this is an exponential function because x is an exponent.
Because the base of the power is 1/2, it is an exponential decay. Whenever the growth/decay factor is less than 1 but greater than 0, it makes the function an exponential decay.
I hope this helps!
Answer:
16 units
Step-by-step explanation:
A/B = 5/4 = 20/p
5/4 = 20/p
5p = 4 × 20
p = 4 × 4
p = 16
Answer: 16 units
The answer is 6 People. You make the two equations first 12.99x and 8.99x+20. And then make them equal each other 12.99x = 8.99x+20. Then you use algebra to solve for the x and you get an answer of 5. That is the number of people that would cause the two prices to break even (be the same price). So in order for the group rate to be the better deal you need 6 people to attend.
