What is aproxímate percent change in a temperature that went down from 120 degrees to 100 degrees
1 answer:
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Graph each points:
f(x) = -13x + 1
when x = 0, y = 1
f(0) = -13(0) + 1
f(0) = 0 + 1
f(0) = 1
when x = 1, y = -14
f(1) = -13(1) + 1
f(1) = -13 + 1
f(1) = -14
when x = 2, y = -25
f(2) = -13(2) + 1
f(2) = -26 + 1
f(2) = -25
etc.
Graph each point and connect them.
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.