"in how many ways can 6 people be lined up to get on a bus? "

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.

Which expression is equivalent to the expression shown?

Solve the following inequalities and show the solution on a number line. 2x+3< 3(4x+5)