Solve the system of equations. y = 2x y = x 2 – 15

a. (–3, –6) and (–5, –10)

b. (3, 6) and (–5, –10)

c. (3, 6) and (5, 10)

d. (–3, –6) and (5, 10)

Option D.

Step-by-step explanation:

The given system of equations is

        ....(i)

        ...(ii)

From (i) and (ii) we get

Using zero produc property we get

If x=5, then

If x=-3, then

The solutions of the given system of equations are (-3,-6) and (5,10).

Therefore, the correct option is D.

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the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)