<span>According to astronomers a light year riddle is the distance traveled by light moving in a vacuum in the course of one year</span>
First,
, and if we multiply
by
we get

Subtracting this from the numerator gives a remainder of

Next,
, and if we multiply
by
we have

and subtracting this from the previous remainder, we end up with a new remainder of

Next,
, and if we multiply
by
we get

Subtracting from the previous remainder, we get a new remainder of

which contains no more factors of
, so we're done.
So,

9514 1404 393
Answer:
22.5
Step-by-step explanation:
The average rate of change on the interval [a, b] is the ratio ...
(f(b) -f(x))/(b -a)
For your function and interval, it is ...
(f(0.5) -f(0))/(0.5 -0)
Since f(0) = 0, this reduces to ...
average rate of change = 2·f(0.5) = 2(5(0.5)² +20(0.5)) = 2(5/4 +10)
average rate of change = 22.5