pablo graphs a system of equations. one equation is quadratic and the other equation is linear. what is the…

pablo graphs a system of equations. one equation is quadratic and the other equation is linear. what is the greatest number of possible solutions to this system?\n0\n1\n2\n4

pablo graphs a system of equations. one equation is quadratic and the other equation is linear. what is the greatest number of possible solutions to this system?\n0\n1\n2\n4

Answer

Explanation:

Step1: Recall the nature of quadratic and linear equations

A quadratic equation represents a parabola ($y = ax^{2}+bx + c$, $a\neq0$) and a linear equation represents a straight - line ($y=mx + n$).

Step2: Consider the intersection points

The solutions of the system of a quadratic and a linear equation are the intersection points of the parabola and the line. A line can intersect a parabola at most 2 times.

Answer:

C. 2