Determine whether the point 2 0 is a solution to the system

Question

1. Solve the following system of equations and show all work:

y = x² + 3 and

y = x + 5

2. The SneakerRama Company makes and sells sneakers. They have one linear function that represents the cost of producing sneakers and another linear function that models how much income they get from those sneakers. Describe the key features that would determine if these linear functions ever intercepted.

3. Your boss hands you the monthly data that show the number of orders coming in to and out of the warehouse. The data are in the table below. Explain to your boss, in complete sentences, the solution to this system and what the solution represents.

3	3
6	4
9	5
12	6

4. Determine whether the point (2, 0) is a solution to the system of equations. Explain your reasoning in complete sentences.