Find the point if intersection for f(x) and g(x) using the algebraic method. f(x) = -5x + 12 and g(x) = -2x - 3

To find the point of intersection for f(x) and g(x), you can sent them equal to each other to find x.

f(x) = g(x)

-5x + 12 = -2x - 3

-3x = -15

x = -15/-3

x = 5

Now that you have x, you can plug it into either f(x) or g(x) to get y. (You get the same y value)

f(x) = -5(5) + 12

f(x) = -25 + 12

f(x) = -13

g(x) = -2(5) - 3

g(x) = -10 - 3

g(x) = -13

The point of intersection is (5, -13)

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.