math

attached is the homework.

 

Name:__________________________________________________

MATH133 Unit 2 Individual Project A

Typing hint: Type x

2
as x^2 (shift 6 on the keyboard will give ^)

1) Solve the following quadratic equation by factoring:

a) 0276
2

 xx

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, 054
2

 xx , 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) = -0.4×2 + 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 = x

2
– 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.