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Suppose the cost of producing x Sharper Image Ionic Air Purifiers is given by:
c(x) = 8000 + 20x + .2 x2
a. Find the minimum average cost using algebra, and showing work.
b. Graph the average cost on a suitable scale from 0 to 500 units, showing the minimum value.
Solve each system of equations by graphing: y=x-4 and y= -2x+2. Y=2x-3 and y=-x-6. Y=3x-2 and y=1/2x+5. Y=1/3x+1 and y=-2x+8. X+y=-3 and x+y=4. Y-x=0 and 2x+y=3.
Evaluate the polynomial x^2+ 2y^2- 3xy for x = 3 and y = 4. Solve the problem. Show all steps necessary to arrive at your solution. Find a polynomial for the sum of the areas of these circles.
The population of a city is 50,000 in 2008 and is growing at a continuous yearly rate of 4.5%. Give the population of the city as a function of the number of years since 2008. Sketch a graph of the population against time.
Make up a scenario where a ball is thrown, shot, etc. into the air. You can choose any initial velocity (in meters/sec) and any initial height (in meters) of the ball, but include them in your written scenario.
Transportation problem
Solve the equation
What happens if you double the coefficient on the first order term? What happens to the graph of the parabola if you double the coefficient on the second order term?
In general, what can you say about the usefulness of these area formulas? What other methods could be used to find the area and surface areas of objects?
Use the properties of logarithms to find the value.
Find the equations of the horizontal and vertical asymptotes for the following. Type none if the function does not have an asymptote.
Which of the following is/are TRUE for the graph of EVERY polynomial function? It must have either a minimum or a maximum value
What are the possible rational factors of the polynomial x^3 -8x^2 + 5x + 14? Why? What is the axis of symmetry of y = 3(x-4)^2 + 1 ?
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