HELLLPPPPPPPP: Betty and Andrea have been solving systems of equations with one polynomial function of degree two and one linear function. Betty says there must always be two solutions, and Andrea says there will no solution. Using complete sentences, explain how Betty can be correct, how Andrea can be correct, and how they both can be wrong.

Question

anonymous · Answer

Think of the system graphically. 
A linear equation describes a line. A degree two function describes a parabola.
The solutions to the system are the points where the two graphs intersect.

Sketch a line and a parabola that intersect at each of 0, 1, and 2 points.

anonymous · Answer

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anonymous · Answer

Maybe Betty and Andrea should solve their conflicts themselves.