Explanation:
In order to prove that affirmation, we define the function g over the interval [0, 1/2] with the formula 
If we evaluate g at the endpoints we have
g(0) = f(1/2)-f(0) = f(1/2) - f(1) (because f(0) = f(1))
g(1/2) = f(1) - f(1/2) = -g(0)
Since g(1/2) = -g(0), we have one chance out of three
- g(0) > 0 and g(1/2) < 0
- g(0) < 0 and g(1/2) > 0
- g(0) = g(1/2) = 0
We will prove that g has a zero on [0,1/2]. If g(0) = 0, then it is trivial. If g(0) ≠ 0, then we are in one of the first two cases, and therefore g(0) * g(1/2) < 0. Since f is continuous, so is g. Bolzano's Theorem assures that there exists c in (0,1/2) such that g(c) = 0. This proves that g has at least one zero on [0,1/2].
Let c be a 0 of g, then we have

Hence, f(c+1/2) = f(c) as we wanted.
B I hope it helps for you
Answer:
C, the answer is nine iajfjsifnsbfjroajdjaidjsbfbsja
Answer:
1,825 days
Step-by-step explanation:
730 / 2 = 365 (one year, or the number of days a single revolution around the sun takes)
Now just multiply by 5
[365 · 5 = 1,825], thus 1,825 days are the duration of 5 revolutions.
The problem could also be initially expressed as:
x = (720/2) · (5) with x representing the missing value
Answer:
What are the rangle and domain values
Step-by-step explanation: