Are 5x and 5x^2 like terms? Explain your answerc

No.  5x and 5x² are not like terms.

When a variable is raised to two different powers, they can not be added together.

Another way to look at it is to note that:

5x + 5x² ≡ 5x(1 + x)

It is more obvious there that 1 and x are not like terms, thus neither are 5x and 5x², though they do have common factors.

  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).

two data sets with the same median will not have the same varaibility

step-by-step explanation: