Question

Question was provided via image upload.

Explanation:

Analyze the intersection points of the first graph

The first graph shows two concentric circles. Since they share the same center but have different radii, they do not intersect at any point.

$$ \text{Number of intersection points} = 0 $$

Determine the condition for exactly one solution

A system of equations represented graphically has exactly one solution if and only if the curves intersect at exactly one point (i.e., they are tangent to each other).

$$ \text{Number of solutions} = \text{Number of intersection points} = 1 $$

Evaluate the visible options

• The first option shows two concentric circles with \(0\) solutions.
• The second option is cut off but shows a parabola/curve intersecting the x-axis. Since this is a multiple-choice question with incomplete options shown, the correct graph must be one where the two plotted equations touch at exactly one single point of tangency.

Answer:

• (A) The graph with two concentric circles (0 solutions)
• (B) The graph showing two curves that intersect at exactly one point (1 solution) (Correct answer)