The expression (x+3)(x+5) is equivalent to?
x2−2x+15
x2+2x+15
x2+8x+15
x2−8x+15

B. x^2 + 8x + 15

Step-by-step explanation:

Use FOIL

First

Outside

Inside

Last

F: x * x = x^2

O: x * 5 = 5x

I: 3 * x = 3x

L: 3 * 5 = 15

Combine like terms

5x + 3x = 8x

x^2 + 8x +15

B. x^2 + 8x + 15

-1, -2, -3, -4, -6

step-by-step explanation:

  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).