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Let P be a profit function given by P(x) = -x2 + 50x - 25 for x >0, where x is the number of units sold. Due to production and labor problems, a new function Q(x) is used. The graph of Q is formed by translating the graph of P to the right two units and down three units.
Determine the revised profit function Q(x).
How may switches of each type should be produced in order to maximize profit? What is the maximum profit?
How do you interpret the solution of a system of equations by the corresponding graph? Please provide example. What is the situation when two linear inequalities have no solution?
Write equations for Bob and Frank's holdings. Use the variables X and Y to represent the values of shares of Company X and Company Y.
Similarly, one additional unit will be occupied for each 5 dollar decrease in rent. What rent should the manager charge to maximize revenue?
In a local election, there are eight candidates for five positions as judges on the Supreme Bench. The number of possible outcomes of the election is:
You are designing a rectangular poster to contain 128 in2 of printing with a 4 inch margin at the top and bottom and a 2 inch margin at each side. What overall dimensions will minimize the amount of paper used?
What is the difference between the critical-value method and the p-value method of hypothesis testing?
a hot air balloon rises and moves away from you. the total distance it travels is 1382 feet. the angle of elevatin from you to the balloon
Two forces of 255 N and 325 N act on an object. The angle between the forces is 64 degree. Find the magnitude of the resultant and the angle that it makes with the smaller force.
A rancher wants to fence in an area of 1500000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use?
Explain the difference between mutually exclusive and independent events. Can a pair of events be both mutually exclusive and independent? Give examples.
a plane flies 400 miles with the wind and 320 miles against the wind in the same length of time. If the speed of the wind is 29 mph, what is the speed of the plane in still air?
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