Question

PLEASE HELP!!!

The first two steps in determining the solution set of the system of equations, y = –x2 + 4x + 12 and y = –3x + 24, algebraically are shown in the table. Which represents the solution(s) of this system of equations? (3, 15) (–4, 36) (3, 15) and (4, 12) (–3, 33) and (–4, 36)

Answer 1

C

Explanation:

or (3, 15) and (4, 12)

Answer 2

y = –x2 + 4x + 12
y = –3x + 24
so
–x2 + 4x + 12 = –3x + 24

x^2 -7x + 12 = 0
(x - 4)(x - 3) = 0
x - 4 =0; x =4
x - 3 = 0; x= 3

y = –3x + 24 = -3(3) + 24 = -9+24 = 15 (when x = 3)
y = –3x + 24 = -3(4) + 24 = -12+24 = 12 (when x = 4)


answer
(3, 15) and (4, 12)