Question

how many solutions does the nonlinear system of equations graphed below have?
graph of a parabola and a line
text description for graph
a. one
b. two
c. four
d. zero

Explanation:

Step1: Recall solution definition

The solutions of a system of equations (graphed) are the intersection points of their graphs.

Step2: Analyze the graphs

The red graph is a parabola (upward - opening), and the blue graph is a line. By observing the graph, we can see that the line and the parabola do not intersect at any point.

Step3: Determine the number of solutions

Since there are no intersection points, the number of solutions of the nonlinear system is zero.

Answer:

D. Zero