At time x0, water begins to drain steadily out of a bathtub. After seconds, the water in the tub is cm deep. After seconds, the tub is empty. Write a linear function rule that models the depth of water in the tub y after any number of seconds x. Suppose the drain rate of another bathtub is cm/second. Use pencil and paper. Describe a "draining race" between these two tubs. Be sure to include the initial depths of water in the tubs and which tub wins.

Classify the following triangle check all that apply

Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain commodity satisfy the demand equation 4p cubedplusx squaredequals38 comma 400. determine the rate at which sales are changing at a time when xequals80, pequals20, and the price is falling at the rate of $.20 per week.

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?