A company expects that the number N(x) of a product sold during a week is related to the amount spent on advertising by the function N(x) = - 8x3 + 264x2 + 3240x + 18,000, where x (with 0sxs 27) is the amount spent on advertising in thousands of dollars. What is the point of diminishing returns? The point of diminishing returns is (Simplify your answer. Type an ordered pair. Do not use commas in the individual coordinates.)

Please determine the domain of the function

The total yield of corn on Mr. Geller's farm from 1991 to 2010 can be modeled by the function f(x) =2x3+154x2+292x-600 (measured in kilograms) and the area of Mr. Geller's farm from 1991 to 2010 can be modeled by g(x) = 2x + 150(measured in hectares), where x is the number of years since1991. Which of the following expressions correctly describes the average yield of corn per hectare?

A 1000-square-foot rectangular plot of land is going to be divided into three equal-sized, adjacent playgrounds (see diagram). Find the number of feet of fencing required as a function of x. (Note: there is only one fence between the playgrounds, not two.) Answer: