Math 133 Unit 2 Individual Project 2a

MATH133 Unit 2 Individual Project 2 A

1) Solve the following quadratic equation by factoring:

a) x^2 - 6x -16 = 0

b) Solve the quadratic equation 6x^2 + 3x – 18 = 0 using the quadratic formula.

c) Compute the discriminant of the quadratic equation and then
write a brief sentence describing the number and type of solutions for the
equation.

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. (see attached for 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 $60 is charged for a design fee, and the monthly studio rent is $1,500; 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 – 4x
Use the values of x provided in the table to find the y values.

b) Place your graph here.
c) Determine the two x-intercepts and the vertex in (x,y) form and explain how you
found these ordered pairs in a sentence.

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Full Step-by-Step Solutions using MathType in a Word Document.

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MATH133_U2IP2a.pdf

Other Details about the Project/Assignment
Subjects: Algebra
Topic: MATH133, MATH133_U2IP2a
Level: College/ University
Tags:

American InterContinental University, AIU, MATH133, MATH133_U2IP2a

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Project Details

Question Files
MATH133_U2IP2a.pdf

Subjects: Algebra
Topic: MATH133, MATH133_U2IP2a
Level: College/ University
Tags:

American InterContinental University, AIU, MATH133, MATH133_U2IP2a

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Math 133 Unit 2 Individual Project 2a

American InterContinental University, AIU, MATH133, MATH133_U2IP2a

American InterContinental University, AIU, MATH133, MATH133_U2IP2a

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