A company estimates that it can sell 4000 4000 units each week of its product if it prices each unit at $ 25 $ 25 . However, its weekly number of sales will increase by 100 100 units for each 0.10 0.10 decrease in price. The company has fixed costs of $ 1500 $ 1500 . The cost to make each unit is $ 1.20 $ 1.20 . Find the level of production that maximizes the company's profit if the company must produce and sell between and including 3000 3000 and 16000 16000 . What is the maximum profit?

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)

The slope of the line whose equation is y - 3 = 0 is 0 3 no slope

The graph of the function f(x) = (x + 2)(x + 6) is shown below. which statement about the function is true? the function is positive for all real values of x where x > –4. the function is negative for all real values of x where –6 < x < –2. the function is positive for all real values of x where x < –6 or x > –3. the function is negative for all real values of x where x < –2.