Your teacher is giving a test with a total of 30 questions and is worth 200 points. each question is worth either 5 points or 10 points questions. write a linear system to model this situation. how many five-point questions on the test? how many ten-point questions are on the test?

Sum is 17 and their difference is 3

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)

Find the volume of the solid obtained by rotating the region enclosed by the curves y=1x and y=7^-x about the x-axis. (use symbolic notation and fractions where needed.) volume =