Amanufacturing unit currently operates at 80 percent of its capacity. the profit function for the unit at the optimum output, x, is given by p(x) = -0.1x2 + 80x − 60. if the function f(x) models the current capacity of the unit, the composite function giving the unit's current profit function is . if the optimum output is 500 units, the current profit is $.

Each of the walls of a room with square dimensions has been built with two pieces of sheetrock, a smaller one and a larger one. the length of all the smaller ones is the same and is stored in the variable small. similarly, the length of all the larger ones is the same and is stored in the variable large. write a single expression whose value is the total area of this room. do not use any method invocations.

What is the sum of these mixed numbers 2 1/8 + 4 3/8

Two streets intersect at a 30- degree angle. at the intersection, the are four crosswalks formed that are the same length. what type of quadrilateral is formed by the crosswalks?