S(x) = 400 (x2 + 1) gives the number of unit sales in x days after a grocery store reduces the price for crispy cereal. in how many days will the unit sales be 200?

The ratio of rock songs to dance songs on jonathan’s mp3 player is 5: 6. the total number of rock and dance songs jonathan has is between 101 120. how many rock songs does he have?

What are the coordinates of the point that is 1/3 of the way from a to b? a (2,-3) b (2,6)

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)