Answer:
2π/7
Step-by-step explanation:
A cosine wave is:
y = A cos(2π/T x + B) + C
where A is the amplitude,
T is the period,
B is the horizontal shift,
and C is the vertical shift.
In this case:
7 = 2π/T
T = 2π/7
Answer:
The one you are on, f(x+2)+4
Step-by-step explanation:
First, we can see by the 0 point that it is just moved up by 4 and not left or right any, so we want to see how it has changed without the +4.
in g(x) the x changes by two, 0 to 2, and the y changes by one, 4 to 5.
Hopefully you can tell what the function being manipulated is. It is x^3 so if we write that instead of f(x) in the answers the first one for instance would be (x/3)^3-4. (let me know if that doesn't make sense)
SInce we already know it's being moved up by 4, we know it's one of those with +4 at the end. It's easy enough to guess and check, but the process to find the answer is pretty easy. We also know that at 2, the change is 1. So without the +4 at the end, what would let us change 8 to 1? dividing it by 8, which is also 2^3. so that means (2/2)^3. So the answer is we want f(x/2) witht he +4 at the end.
Hopefully that made sense, I'd be happy to explain further if you need though
The slope is a positive and constant increase of 1 over 2 and the y - intercept is located at 8 due to the existing amount of snow on the ground. hope this helped you might want to word it a little differently.
Answer:
It takes 6 hours for both to reach an equal paid.
Step-by-step explanation:
You have to form an expressions in terms of x where x determine the number of hours :
Option 1,
$(30 + 9x)
Option 2,
$(14x)
Next, you have to compare it since they want to find out how many hours they work until they reach the same amount :
30 + 9x = 14x
30 = 14x - 9x
30 = 5x
5x = 30
x = 30÷5
x = 6