1. Is 5x^2 + y = 12 a linear or nonlinear function? Explain how you know

Answer 1

This equation is a nonlinear function because it contains an x^2 term, which makes it a quadratic equation. In a linear function, the highest power of the variable is 1, whereas in this equation, the highest power of the variable x is 2. Additionally, the presence of the y variable also makes it a nonlinear function.