Question

How many solutions does the nonlinear system of equations graphed below have? A. One B. Zero C. Four D. Two

Answer 1

The nonlinear system of equations has zero solutions.

Explanation:

A system of nonlinear equations is a system of two or more equations in two or more variables containing at least one equation that is not linear.

In this case, we have a parabola (the red figure) and a line (the blue figure).

There are three possible types of solutions for a system of nonlinear equations involving a parabola and a line.

1. No solution. The line will never intersect the parabola.
2. One solution. The line is tangent to the parabola and intersects the parabola at exactly one point.
3. Two solutions. The line crosses on the inside of the parabola and intersects the parabola at two points.

Because the line will never intersect the parabola the system has no solution.

Answer 2

b. zero

cuz the graphs are not intersecting anywhere. in order for their to be a solution. the graphs must intersect