Arobot is moving along the line 20x + 30y = 600. a homing beacon sits at the point (35, 40).
a. where on this line will the robot hear the loudest ping?
b. at this point, how far will the robot be from the beacon?

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.

Terri makes a quilt using three sizes of fabric squares the side lenght of each fabric square is the square root of the area

Consider the set of all four-digit positive integers less than 2000 whose digits have a sum of 24. what is the median of this set of integers?