Algebra homework

Question

Is this system were graphed,

y=3x+2

y=2x^2-4x+5

it would have:

A. No intersection points

B. Infinitely many intersection points

C. One intersection point

D. Two intersection points

Answer 1

Graph it!

The straight line intersects the parabola twice.

If it must be done analytically, set the 2 values for y equal to each other and solve the resulting quadratic equation for x. The discriminant will give you the answer to your question.