Answer:
We will divide the 15 days in five periods of 3 consecutive days each.
Now to solve this we will use the pigeonhole principle.
This states that if (N+1) pigeons occupy N holes, then some hole must have at least 2 pigeons.
So, we have n=300 pigeons and k=5 holes.
![[\frac{n}{k} ]=[\frac{300}{5} ]](https://tex.z-dn.net/?f=%5B%5Cfrac%7Bn%7D%7Bk%7D%20%5D%3D%5B%5Cfrac%7B300%7D%7B5%7D%20%5D)
Hence, there is a period of 3 consecutive days in which the website was hit at least 60 times.
Using Pythagorean’s theorem, the side length is sqrt(89)
Combine like terms, find greatest common factors, and reduce fractions
Given the function f (x) = 3x, find the value of f-1 (81).
For this case, the first thing you should do is rewrite the function.
We have then:
y = 3 ^ x
From here, we clear the value of x:
log3 (y) = log3 (3 ^ x)
log3 (y) = x
Then, we rewrite the function again:
f (x) ^ - 1 = log3 (x)
Now, we evaluate the inverse function for x = 81:
f (81) ^ - 1 = log3 (81)
f (x) ^ - 1 = 4
Answer:
the value of f-1 (81) is:
f (x) ^ - 1 = 4
