Select the correct answer. a store sells 12-packs of ballpoint pens for $1.09 each and composition books for $2.79 each. cindy buys m packs of ballpoint pens and n composition books. the store offers a 5% discount for every 50th customer who makes a purchase. if cindy gets the 5% discount, which expression will represent cindy’s bill? a. 0.05 − 1.09m + 2.79n b. 1.05 + 1.09m + 2.79n c. 1.05(1.09m + 2.79n) d. 0.95(1.09m + 2.79n)

Compare these two waves: the blue and orange waves have the same pitch, but the blue wave is louder. the blue and orange waves have the same volume, but the blue wave has a higher pitch. the orange wave has a higher pitch, but the blue wave is louder. the blue wave has a higher pitch, but the orange wave is louder.

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?

Use composition to determine if (x) or h(x) is the inverse of f(x) for the limited domain x2-1.