A rectangle has length x + 5 and width x – 7. A triangle within the rectangle has area 1 – 2x. What is the area within the rectangle after the area of the triangle is subtracted? Write your answer in factored form. (Hint: Draw the rectangle and insert the triangle. Find the area of the rectangle and subtract the area of the triangle.)

In two or more complete sentences, determine the appropriate model for the given data and explain how you made your decision. (1,-1), (2,0.5), (5,1.5), (8,2)

25 ! the line of best fit is h = 5a + 86. predict the height at age 16. show your work.

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)