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>
To calculate the inverse isolate x on one side and switch x with y on both sides
1)
y=(2x-3)/5
5y=2x-3
5y+3=2x
(5y+3)/2=x
-> f(x)=(5x+3)/2
2)
y=(x+8)/2
2y=x+8
2y-8=x
-> f(x)=2x-8
3)
y=(x+2)/7
7y=x+2
7y-2=x
-> f(x)=7x-2
4)
y=(1-2x)/x
y=(1/x)-2
y+2=1/x
x=1/(y+2)
-> f(x)=1/(x+2)
Both sides are identical.
Answer:
40th and 80th visit
the first visit where you receive both is the 40th
Step-by-step explanation:
personally, I believe that the simplest way to solve this is use an excel spreadsheet to see which visits would include both a free beverage and a free appetizer:
- both rewards would happen only twice, at the 40th and 80th visit.
you can also calculate it mathematically since multiples of 8 and 10 do not repeat themselves very much, only when 8 is multiplied by 5 and 10.
Answer:
1/4
Step-by-step explanation:
Both dice have odd numbers 1, 3, 5. The chances of getting an odd number on each number is 3/6
The probability of getting odd numbers on both is:
3/6 ⋅ 3/6 = 9/36 = 1/4