Factor completely and then place the factor. in the proper location on the grid (4x-+-5)

Yay, love these ones.

First of all, (4x-+3)(-2x-5) is the same as (4x-3)(-2x-5)
So the method for solving these can be remembered by FOIL.
F= Firsts   O= Outsides   I= Insides   L= Lasts

In other words everything is multiplied by everything, for example:
4x * -2x and -3 * -5 is the firsts of the brackets multiplied and last of the brackets mulitplied

4x * -5 and 3 * -2x is the outsides of the brackets multiplied and the insides of the brackets multiplied

The SUM of FOIL is then added:
4x*-2x = -8x^2
-3*-5= 15
4x*-5=-20x
3*-2x=-6x
-8x^2 -20x -6x + 15 = 0
-8x^2 -26x + 15 = 0

So the factored of (4x-3)(-2x-5) = -8x^2 -26x + 15 = 0

So then you graph that equation on your given grid

The answer is b i’m sure

  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.

f(-2) = -3f(1) = 6 . . . estimated from f(x) = (x+2)^2-3, which matches points on the graph (-1,-2) and (0, 1)

so the change in y-value for function f is (6 )) = 9.

the table tells us

g(-2) = 1g(1) = 31

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).