A system of three equations and their graphs in the xy-plane are shown above. How many solutions does the system have?
- A. One.
- B. Two.
- C. Three.
- D. Four.
The solutions to the system of equations are the points where the circle, parabola, and line all intersect. These points are and , and these are the only solutions to the system.
Question Difficulty: EASY
Objective: Students must demonstrate their conceptual understanding of graphical representations of variable relationships.
- graphs – đồ thị (n): a diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.
- xy-plane – trục xy (n): A plane with x- and y-axes defined is often referred to as the Cartesian plane or xy–plane. The value of x is called the x-coordinate or abscissa and the value of y is called the y-coordinate or ordinate.