Question

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 be no solution. Using complete sentences, explain how Betty can be correct, how Andrea can be correct, and how they both can be wrong.

Answer 1

Betty can be correct by saying she found a "solution" and Andrea can correct by saying how there "no solution" in the problem. My opinion is that Andrea is correct about there no solution in the problem because if both the graph intersects at a single point or touch each other then both are wrong. If the graph have two functions that cut each other at two points then Betty is correct. If both graphs intersect then Andrea is right. But if both of the graphs intersects at a single point or touch each other then both are wrong.