Math 1090.04 Quiz 03 Spring 2013

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___________________ ______

Name

Math 1090.04 Quiz 03

Spring 2013

Student ID Number:

Instructions:

• Please remove headphones and hats during the quiz

• Show all work, as partial credit will be given where appropriate. If no work is shown, there may be no credit given.

• All final answers should be written in the space provided on the quiz and in simplified form. When needed give your answer as an exact amount, i.e., a fraction or symbolic expression like e which should be rounded to the nearest cent.

except for dollar amounts

• Calculators are not allowed on this quiz.

• If your phone is out during the quiz it will be considered a cheating offense

put your phone away!

• When you have completed this quiz, place your homework on top of your quiz and remain quietly at your desk. All homework and quizzes will be collected together.

\l athl 090.004

Quiz 03, Page 2 of 3 30 January 2013

WRITE YOUR ANSWERS ON THE LINES PROVIDED

1. Simplify the following using the properties of exponents:

(a) (16x6y12) t)

(a) i:

1

[20

PLj

(b)

5x4

çzk rZ1

(b)

4x

2. Given: g(x)

=

6x +8

(a) Find the domain of g:

Cse j: bo+l’- po+

X—ZZO

çx4

?xz

qf(el

6-’

ç

-4.O

ç

x4

x—zo

2

?

x4

[30 pts]

(a)

Y6

1Is-t.

4y)(2+

\

\

-Th-flf: C

(b) Evaluate g(—2) and simplify as much as possible:

7z

(c) Evaluate g(2) and simplify as much as possible:

z

(b)

(c)

0

C:

I\lathlO9O.004

Quiz 03, Page 3 of 3 30 January 2013

3. A gas station has weekly costs and revenue that are functions of the number of gallons [50 pts] of gasoline purchased and sold. If x gallons are purchased and sold, weekly costs are given C(x)

=

1.2x + 1080 and weekly revenue by R(x)

=

1.6r.

(a) What are the fixed costs?

(a) i00

Lr wa.k.

(b) ‘What are the variable costs?

(b)

(c) What is the marginal profit?

?(x(X-

=

CCx

-7 (c)

O40

(d) Calculate the break-even point

(d)(oD_42o)

I

a

7-Oc

R(zi-oo)

2OO

-

?(pZOO

Iac(z-oo)

-4zoo

4sao

C(zoc)- 1.2—(

27-o6) 4 OD

2O1OD y 1.2

2O

2 4

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