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July 2, 2015

July 2, 2015

Posted by **jim** on Tuesday, February 14, 2012 at 10:35pm.

Typing hint: Type x

2

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

1) Solve the following quadratic equation by factoring:

a) 7 010

2

xx =++

Answers:

Show your work here:

b) Solve the quadratic equation using the quadratic formula. Read

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

MS Word, such as the square root.

0232

2

xx =−−

Answers:

Show your work here:

c) Compute the discriminant of the quadratic equation 3 .

Then write a brief sentence describing the number and type of solutions for this

equation.

Answers:

Show your work here:

2) Use the graph of y = 7 – 6x – x

2

to answer the following:a)Without solving the equation (or factoring), determine the solutions to the equation

7 – 6x – x

2

= 0 using only the graph.

Answer:

Explain how you obtain 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 obtain 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 axis of symmetry for this parabola?

Answer:

3) The profit function for the Recklus Hang gliding Service is P(x) = -0.2x

2

+ fx - m,

where f represents the set up fee for a customer’s daily excursion and m

represents the monthly hanger rental. Also, P represents the monthly profit in

dollars of the small business where x is the number of flight excursions facilitated

in that month. a) If $30 is charged for a set up fee, and the monthly hanger rental is $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 40 flight excursions are sold in a month?

Answer:

Show your work here:

c) How many flight excursions 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 by completing the table and plotting the points. You may use

Excel or another web-based graphing utility.

a) y = 3x - x

2

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

x y

-2

-1

0

1

2

3

4

5 b) Place your graph here: For help on creating your graph in Excel and inserting

graphs into a Word Doc please see the tutorial in the Assignment List.

c) Determine the two x-intercepts of this parabola in (x,y) form and explain how you

found these ordered pairs in a sentence.

Answers: