Answer:
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Answer:


Step-by-step explanation:
Let's call x the length of each piece in yards
If the ribbon is cut into 8 equal pieces then the sum of the pieces is:

Then:

Now we solve the equation for x

Divide both sides of equality by 8


So the length of each piece is
of a yard.
This is: 1.125 yards
Answer: The commission is paid according to sales amounts that are likely to vary from month to month.
Step-by-step explanation: Instead of a salary that is paid in the same amount on a schedule, the commission may be very large one month and very small or zero at other times.
Financial planning usually includes monthly payments that and predictable expenses for food, transportation, utilities, etc. The person who earns a commission must remember to set aside some of the "extra" to cover these expenses. And be prepared to work more or harder at some times to make sales when they don't come easily.
Answer:
g(x), f(x) and h(x)
Step-by-step explanation:
Given
Interval: (0,3)
See attachment for functions f(x), g(x) and h(x)
Required
Order from fastest to slowest decreasing average rate of change
The average rate of change is calculated as:

In this case:

i.e.

For f(x)




Calculate f(3) and f(0)



So:



For g(x)



From the table of g(x)


So:


For h(x)



From the graph of h(x)


So:


So, the calculated rates of change are:



By comparison:
From the fastest decreasing to slowest, the order is: <em>g(x), f(x) and h(x)</em>