How many solutions does the system of equations have?

a.
the system has exactly one solution.

b.
the system has no solution.

c.
the system has infinitely many solutions.

The answer to your question is A. The system has exactly one solution.

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.