Hello everyone i hope you are having a great day! Here is my question.

x what does this equation equal?

6 * x^9

Step-by-step explanation:

Powers that are on variables when multiplied are added.

You need good grammar to see what that means.

x is a variable.

Suppose the question was x^a * x ^b then the result would be x^(a + b)

So in your case x^4 times x^5 = x^(4 + 5) = x^9

The two literals (2 and 3) are just multiplied the way you always have done it.

2*3 = 6

So the answer is 6 times x to the 9th

Way to go on being able to handle latex. Anyone who can do latex shouldn't have any trouble with math.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).