A car with 12 gallons of gasoline drives 312 miles until the tank is empty. Write a linear equation that describes the amount of gas left in the car, y, after driving x miles.

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)

Use the given information to determine the exact trigonometric value.

Use the squared identities to simplify sin^2x cos^2x