Which two operations are needed to write the expression that represents "eight more than the product of a number and two"?
multiplication and subtraction
division and subtraction
multiplication and addition
division and addition

For this case we must represent the following expression algebraically:

"eight more than the product of a number and two"

Let "x" be the variable that represents the unknown number

We have to:

the product of a number and two is represented as:

Then, the full expression will be:

Thus, we use multiplication and addition.

Option C

multiplication and addition

Step-by-step explanation:

In mathematics we use addition(+) operation to show "sum", subtraction (-) to show "difference" , multiplication (×) operation to show "product" and divide (÷) to show "quotient".

Given mathematical statement : eight more than the product of a number and two

Here, we use addition(+) operation to show "more than" and multiplication (×) operation to show "product" .

Hence, the two operations are needed to write the expression that represents are : multiplication and addition

  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).