# college algebra

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What is the answers and break down of them,
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 =++
MS Word, such as the square root.
0232
2
xx =−−
c) Compute the discriminant of the quadratic equation 3 .
Then write a brief sentence describing the number and type of solutions for this
equation.
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.
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?
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?
d)What is the equation of the axis of symmetry for this parabola?
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
b) How much is the profit when 40 flight excursions are sold in a month?
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.

d) What is the maximum profit?
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.

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