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SOLUTIONS MANUAL
JUDITH A. PENNA
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C OLLEGE A LGEBRA
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G RAPHS AND M ODELS
S IXTH E DITION
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Marvin L. Bittinger
Indiana University Purdue University Indianapolis
Judith A. Beecher
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David J. Ellenbogen
Community College of Vermont
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Judith A. Penna
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Boston Columbus Indianapolis New York San Francisco
Amsterdam Cape Town Dubai London Madrid Milan Munich Paris Montreal Toronto
Delhi Mexico City São Paulo Sydney Hong Kong Seoul Singapore Taipei Tokyo
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The author and publisher of this book have used their best efforts in preparing this book. These efforts include the
development, research, and testing of the theories and programs to determine their effectiveness. The author and
publisher make no warranty of any kind, expressed or implied, with regard to these programs or the documentation
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contained in this book. The author and publisher shall not be liable in any event for incidental or consequential
damages in connection with, or arising out of, the furnishing, performance, or use of these programs.
Reproduced by Pearson from electronic files supplied by the author.
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Copyright © 2017, 2013, 2009 Pearson Education, Inc.
Publishing as Pearson, 501 Boylston Street, Boston, MA 02116.
All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any
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form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written
permission of the publisher. Printed in the United States of America.
ISBN-13: 978-0-13-418891-1
ISBN-10: 0-13-418891-8
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www.pearsonhighered.com
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Contents
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Just-in-Time Review . . . . . . . . . . . . . . . . . . . . . . . 1
Chapter 1 . . . . . . . . . . . . . . . . . . . . . . . . . . 13
Chapter 2 . . . . . . . . . . . . . . . . . . . . . . . . . . 73
Chapter 3 . . . . . . . . . . . . . . . . . . . . . . . . . . 127
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Chapter 4 . . . . . . . . . . . . . . . . . . . . . . . . . . 185
Chapter 5 . . . . . . . . . . . . . . . . . . . . . . . . . . 273
Chapter 6 . . . . . . . . . . . . . . . . . . . . . . . . . . 333
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Chapter 7 . . . . . . . . . . . . . . . . . . . . . . . . . . 433
Chapter 8 . . . . . . . . . . . . . . . . . . . . . . . . . . 487
Chapter R . . . . . . . . . . . . . . . . . . . . . . . . . . 529
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