The correct answer is x=5
Answer:
See Explanation
Step-by-step explanation:
<em>The question is incomplete as the function is not given. However, the following explanation will guide you.</em>
<em></em>
The average rate of change is calculated using;

Where

Take for instance;
The function is:

We have to solve for f(-1) and f(5);
i.e.


Substitute -1 for a and 5 for b




Substitute values for f(5) and f(-1)




<em>Apply this steps in your work</em>
Answer:
A
Step-by-step explanation:
The velocity of a moving body is given by the equation:

Is the velocity is <em>positive </em>(v>0), then our object will be moving <em>forwards</em>.
And if the velocity is negative (v<0), then our object will be moving <em>backwards</em>.
We want to find between which interval(s) is the object moving backwards. Hence, the second condition. Therefore:

By substitution:

Solve. To do so, we can first solve for <em>t</em> and then test values. By factoring:

Zero Product Property:

Now, by testing values for t<1, 1<t<4, and t>4, we see that:

So, the (only) interval for which <em>v</em> is <0 is the second interval: 1<t<4.
Hence, our answer is A.