I have 3 questions in 1. State whether the equations 3x^2=5, y=10^3X, and y=2x=23-14x represent a linear, quadratic or exponential function and why?

I am confused on this.

To determine whether each equation represents a linear, quadratic, or exponential function, we need to analyze the form and behavior of the equations.

1. Equation: 3x^2 = 5
This equation can be rearranged into a quadratic form: 3x^2 - 5 = 0. Because the highest power of x is 2, it represents a quadratic function. Quadratic functions have a graph that forms a U-shape called a parabola.

2. Equation: y = 10^3X
This equation can be rewritten as y = 1000^x. The presence of an exponent with a variable indicates that it is an exponential function. Exponential functions grow or decay at a constant rate.

3. Equation: y = 2x = 23 - 14x
In this equation, there are two equal signs, which is incorrect. It seems like there might be an error or a typo. Let's assume the equation is y = 2x + 23 - 14x. By simplifying this equation, we get y = -12x + 23. This represents a linear function because it has a degree of 1 and follows a straight line.

In summary:
- Equation 1 (3x^2 = 5): Represents a quadratic function.
- Equation 2 (y = 10^3X): Represents an exponential function.
- Equation 3 (y = -12x + 23): Represents a linear function.

Remember, understanding the form and behavior of equations is crucial in determining whether they represent linear, quadratic, or exponential functions.