Answer:
Completing the square answer
Solution set
=
Step-by-step explanation:
Assuming the question is correctly interpreted as 2m2 = 2m², here is how to proceed
We have
Divide by 2 on both sides
Take half of the coefficient of and square it
Add the result to both sides
can be re-written as a perfect square
The RHS becomes
Therefore,
Take the square root of both side
Simplify
Adding both sides
This gives the two solutions
and
which becomes
and
Using it's formula, the average rates of change are given as follows:
a) 30 meters per second.
b) -10 meters per second.
<h3>What is the average rate of change of a function?</h3>The average rate of change of a function is given by the <u>change in the output divided by the change in the input.</u> Hence, over an interval [a,b], the rate is given by the following equation:
For item a, taking the data from the table, we have that:
Hence the rate is given as follows:
r = (138 - 0)/(4.6 - 0) = 30 meters per second.
For item b, taking the data from the table, we have that:
Hence the rate is given as follows:
r = (0 - 23)/(11.5 - 9.2) = -10 meters per second.
More can be learned about the average rate of change of a function at brainly.com/question/11627203
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