MATH/133 Unit 2 Individual Project A

MATH/133 Unit 2 Individual Project A

Question
	
MATH 133Unit 2 Ver. A


















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Typing hint: Type
x2 as x^2 (shift 6 on the keyboard will give ^)



1) Solve the following quadratic
equation by factoring:



a) x^2 – 6x – 27 = 0






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b) Solve the
quadratic equation 3x^2+ 2x– 16 = 0 using the quadratic
formula.



Read the
information in the assignment list to learn more about how to type math



symbols, such as the square root.






2) Use the graph of y= x2 + 4x-
5 to answer the following:



 Graph….



a) Without solving the equation
or factoring, determine the solution(s) to the



equation, x^2 + 4x - 5 = 0, using only the graph.



b) Does this function have a maximum or a minimum?



c) What are the coordinates of the vertex in (x,
y) form?



d) What is the equation of the line of symmetry for
this parabola?






3) The profit function for
Wannamaker Trophies is P(x) = -0.4x^2+ fx - m, where f



represents the design fee for a
customer’s awards and m represents the monthly office



rent. Also, P represents the
monthly profit in dollars of the small business where x is



the number of awards designed in
that month.



a) If $80 is charged for a design
fee, and the monthly studio rent is $1,600; write an



equation for the profit, P, in terms of x.



b) How much is the profit when 50 award designs are
sold in a month?



c) How many award designs must be
sold in order to maximize the profit? Show



your work algebraically. Trial
and error is not an appropriate method of solution –



use methods taught in class.



d) What is the maximum profit?






4) Graph the equation on the
graph by completing the table and plotting the points.



You may use Excel or another
web-based graphing utility.



a) y = x^2 – 6x



Use the values of x provided in the table to find
the y values.



b) Place your graph here.