Find the quotient when x2 + 10x + 21 is divided by x + 7

Find the maximum value of p= 4x + 5y subject to the following constraints :

The weight of a radioactive isotope was 96 grams at the start of an experiment. after one hour, the weight of the isotope was half of its initial weight. after two hours, the weight of the isotope was half of its weight the previous hour. if this pattern continues, which of the following graphs represents the weight of the radioactive isotope over time? a. graph w b. graph x c. graph y d. graph z

5. write an equation for the line that is parallel to the given line and that passes through the given point. y = –5x + 3; (–6, 3)