Step-by-step explanation:
We will prove by contradiction. Assume that
is an odd prime but n is not a power of 2. Then, there exists an odd prime number p such that
. Then, for some integer
,

Therefore

Here we will use the formula for the sum of odd powers, which states that, for
and an odd positive number
,

Applying this formula in 1) we obtain that
.
Then, as
we have that
is not a prime number, which is a contradiction.
In conclusion, if
is an odd prime, then n must be a power of 2.
Answer:
Take L.H.S and the R.H.S
Step-by-step explanation:
Taking L.H.S
-25*(15+(-5)
-25*(15-5)
-25*(10)
-250
Taking R.H.S
(-25*15)+(-25*(-5)
-375+125
-250
Verified
I believe your answer is D) y= 3/4x + 7
Answer:
A rental car company charges $150.00 for a weekly rental and an additional $0.20 for each mile driven.
The function
,
where m is the number of miles and C is the total cost.
Since it is given that : If the rental car can only be driven a maximum of 200 miles.
Then the total cost for this is,
or

On simplify we get,

A rental Car can only be driven a maximum of 200 miles for a cost of $ 190.
Graph the function :
as shown in the attachment.
Answer:
The value is 250.
Step-by-step explanation:
It is 250, because if 20% is 50, you need to Multiply it 5 times to get to 100%.