The lines in the graphs below represent a system of equations. Match the graph of each system of equations to its number of solutions that the system has. (Choices may be used more than once, each choice need not be used.)

Some of the work needed to solve the the inequality  2-xx+1≤0{“version”:”1.1″,”math”:”2-xx+1≤0″}  is given.  Select the intervals that are in the solution of this inequality.

A swimming pool had 500 gallons left in it over the winter. The capacity of the pool is 3000 gallons and in the spring it is filled with water at a rate of  8 gallons per minute. If the function V(x)=mx+b gives the volume of the pool as a function of time, then what is the value of m?

Which of the following would be the proper way to solve the inequality   |7x+4|>5{“version”:”1.1″,”math”:”|7x+4|>5″}?

What two equations must be solved to find the solutions to the equation  |2x-7|=9{“version”:”1.1″,”math”:”|2x-7|=9″}?

The County Commissioner would like to understand how the number of vacant properties influences property crime. Towns D and F provide the following data. Make sure to label and address each of the questions in the space below: a. What type of data are you provided (cross sectional, panel, time series, etc)? Briefly justify your answer. (3 points) b. Identify the independent and dependent variables, based on the County Commissioner’s prompt. (2 Points) c. Below is the correlation between Number of Vacant Properties (VACANT) and Number of Property Crimes (PROP). Describe both the strength and direction of the relationship between these two variables. State the nature of this relationship in plain language. (4 Points) 

For the given triangle and angle theta, indicate which sides are opposite and adjacent to theta and which side is the hypotenuse.

Match each trigonometric function with its equivalent ratio.

If an enzyme loses it shape, it cannot function 

Select the proper order of steps for solving an equation with a square root. For example, how would you solve the equation  2x=1-2-x{“version”:”1.1″,”math”:”2x=1-2-x”}.