Dominique wants to use the distributive property to mentally find the value of 15⋅37+15⋅6315·37+15·63. which expression can she use? a. 15 x 15 x (37+63) b. 15 x (37 x 63) c. 15 x (37 + 63) d. (15 + 15) x (37 + 63) explain your answer : ) (if correct i'll give you a and rate you 5 stars and if i can make you brainlist : ) !

The required expression is , so the correct option is C.

Given:

The expression is:

To find:

The equivalent expression by using the distributive property.

Explanation:

Distributive property: If are three real numbers, then

We have,

Using the distributive property, we get

Therefore, the correct option is C.

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  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).