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The answer is B


Perpendicular lines will only cross once,

Parallel lines will never cross

And a parabola and a line may cross twice


So, there is no guarentee of any situation, although all are possible, so the correct answer is sometimes.

Answer:

B) Sometimes

Step-by-step explanation:

A system of equations can intersect at no points; this is when the lines are parallel, which means they have the same slope and different y-intercept.

A system of equations can intersect at one point; this is when the lines have different slopes.

A system of equations can intersect in infinitely many points; this is when the graphs overlay one another, which means they are graphs of the same line.  The two equations would equal the same thing.