Which equation is represented by the model?
x2 – 2x – 3 = (x – 3)(x + 1)
x2 – 4x + 3 = (x – 3)(x – 1)
x2 + 2x + 3 = (x + 3)(x – 1)
x2 + 4x – 3 = (x + 3)(x + 1)

The answer is B, x^2 – 4x + 3 = (x – 3)(x – 1)

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is