Answer:
Anja’s phrase should have ended with “less than –15”, not “at least –15”.
Step-by-step explanation:
Given the statement:
Anja represents the inequality 
with the phrase “the quotient of the difference of 4 and a number and 8 is at least –15.”
Let the number be g.
“the quotient of the difference of 4 and a number and 8" translated to 
"at least" means 
then;
“the quotient of the difference of 4 and a number and 8 is at least –15.” translated to 
Therefore, Anja’s phrase should have ended with “less than –15”, not “at least –15”.
Answer: m=6, m=-4
Step-by-step explanation:
To solve this proportion, we have to cross multiply.


Now that we have cross multiplied, we actually need to FOIL the left side to expand the equation.

Combine like terms.

We can move all terms to one side and then solve for m.

We can actually factor this to:

We set each factor equal to 0 to find m.
m-6=0
m=6
m+4=0
m=-4
Answer:

Step-by-step explanation:
We are given that a function

We have to find the average value of function on the given interval [0,7]
Average value of function on interval [a,b] is given by

Using the formula

![f_{avg}=\frac{1}{7}[e^{\frac{x}{7}}\times 7)]^{7}_{0}](https://tex.z-dn.net/?f=f_%7Bavg%7D%3D%5Cfrac%7B1%7D%7B7%7D%5Be%5E%7B%5Cfrac%7Bx%7D%7B7%7D%7D%5Ctimes%207%29%5D%5E%7B7%7D_%7B0%7D)
By using the formula


Because 

Hence, the average value of function on interval [0,7]

ten less than the cube of a number n:
