Problem Sheet #7 (3.1-3.3)
ClassID: _____ Name: _________________________ Hmk. 7 Score _________
Math 1090 – 001 Spring 2013
Instructor: Katrina Johnson
Complete each problem. Clearly indicate your final answer. No credit will be given without
supporting work.
1. Solve for x.
a) 4 x 2 −12x = 18
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b) 8x 2 + 3x + 2 = 7x 2
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c) 9x 2 − 5 = 607
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d) 5x 2 −11 = 4 x
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2. If the demand function for a commodity is given by p = 96 − 5q − q 2 and the supply
function is given by p = q 2 + 3q + 32 , find the market equilibrium quantity and price. (Write
your answer as a point.)
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3. Complete the square to write y = x 2 − 3x + 3 in vertex form.
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4. Consider the function, f (x) = −3(x +1) 2 − 4 , for the following problems.
a) What is the vertex of the function?
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b) Is the vertex a maximum or minimum?
c) What is the axis of symmetry of the function?
d) What are the x-intercepts of the function?
e) What is the y-intercept of the function?
5. Mr. Smith makes and sells bicycles. His cost function is given by C(x) = 50x + 744 . His
revenue function is described by R(x) = −x 2 +124 x .
a) What is the profit function?
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b) What is the maximum profit?
c) How many bicycles must be sold to break-even? What is the cost of producing these
bicycles?