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MATH133 Unit 2 Individual Project A





----EQUATIONS MAY NOT BE FULLY VISIBLE: SEE PDF FILE ATTACHED TO THE RIGHT----

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
Answers:
Show your work here:
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.
Answers:
Show your work here:
2) Use the graph of y = x
2 + 4x - 5 to answer the following:a) Without solving the equation or factoring, determine the solution(s) to the
equation, x
2
? 4x ?5 ? 0, using only the graph.
Answer:
Explain how you obtained your answer(s) by looking at the graph in a brief sentence:
b) Does this function have a maximum or a minimum?
Answer:
Explain how you obtained your answer by looking at the graph in a brief sentence::
c) What are the coordinates of the vertex in (x, y) form?
Answer:
d) What is the equation of the line of symmetry for this parabola?
Answer:
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.
Typing hint: Type x-squared as x^2
Answer:
b) How much is the profit when 50 award designs are sold in a month?
Answer:
Show your work here:
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.
Answer:
Show your work here:d) What is the maximum profit?
Answer:
Show your work here:
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 = x2
– 6x
Use the values of x provided in the table to find the y values.
x y
0
1
2
3
4
5
6
b) Place your graph here.


About the Solutions
Complete solutions for the Math133 Individual Project A. Work is shown in detail. A++ work.

Question Files
math133_u2_ip.pdf

Other Details about the Project/Assignment
Subjects: Mathematics-> Algebra
Topic: Individual project on quadratic functions
Level: College/University
Tags:

Algebra,Math133, Unit 2 ,Indvidual,Project,solution


Price$6.95
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Project Details
Question Files
math133_u2_ip.pdf

Subjects: Mathematics-> Algebra
Topic: Individual project on quadratic functions
Level: College/University
Tags:

Algebra,Math133, Unit 2 ,Indvidual,Project,solution


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