What value of m will make this expression equal to 0?
5(m +2.25)
2.5
-7.25
-2.25
0.25
2.25

-2.25

Step-by-step explanation:

The only way the expression can equal zero is if the numerator is zero.

The numerator is the product of 5 and the expression m + 2.25

A product is equal to zero if one of the factors equals zero.

5 is obviously not equal to zero, so the only way the product of 5 and m + 2.25 can equal zero is if the factor m + 2.25 equals zero.

We set m + 2.25 equal to zero and solve for m.

m + 2.25 = 0

Subtract 2.25 from both sides.

m = -2.25

If you add -2.25 to 2.25, you get zero. Zero times 5 equals zero. That meakes the expression equal to zero.

-2.25

  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).

the answer is (4,3)

since the rule for r0, 90º is (-y,x) and it was already applied to form the image, all you have to do is reverse the answer using this formula.