Jack wants to simplify the expression below.

(6.7x -3) - (3.4x - 1) + (2x - 2)

answer the following questions.

1) how can jack regroup the expression by commutative property?

2) after regrouping in step 1, how can jack further simplify the expression by

distributive property?

3) what is jack's final simplified expression?

5.3x - 4 .

Step-by-step explanation:

(6.7x -3) - (3.4x - 1) + (2x - 2)

1. using the commutative property:

= 6.7x - 3 +  2x - 2 - (3.4x - 1)      (we can remove the parentheses around the first 2 groups because they are added).

2. Using the distributive property on the last group:

= 6.7x - 3 + 2x - 2 - 3.4x + 1   (distributing the negative over the parentheses).

3. Now adding like terms we get:

5.3x - 4 (answer).

  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).

what