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.
Step
Step 1
Step 2
Equation
-X?+ 4x+12=-3x+24
x? – 7x+12=0
Which represents the solution(s) of this system of equations?
(3, 15)
(4,36)
(3, 15) and (4, 12)
(-3, 33) and (4,36)

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Write an equation for the function that includes the points (2,100)and (3,100)