Contemporary Mathematics for Business and Consumers
7th Edition
ISBN: 9781285189758
Author: Robert Brechner, George Bergeman
Publisher: Cengage Learning
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Question
Chapter 2, Problem 11CR
To determine
To fill: The blank space in the statement, “When subtracting like fractions, we subtract the numerators and place the difference over the original ____.”
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T. Determine the least common
denominator and the domain for the
2x-3
10
problem:
+
x²+6x+8
x²+x-12
3
2x
2. Add:
+
Simplify and
5x+10 x²-2x-8
state the domain.
7
3. Add/Subtract:
x+2 1
+
x+6
2x+2 4
Simplify and state the domain.
x+1
4
4. Subtract:
-
Simplify
3x-3
x²-3x+2
and state the domain.
1
15
3x-5
5. Add/Subtract:
+
2
2x-14
x²-7x
Simplify and state the domain.
Q.1) Classify the following statements as a true or false statements:
Q
a. A simple ring R is simple as a right R-module.
b. Every ideal of ZZ is small ideal.
very den to is lovaginz
c. A nontrivial direct summand of a module cannot be large or small submodule.
d. The sum of a finite family of small submodules of a module M is small in M.
e. The direct product of a finite family of projective modules is projective
f. The sum of a finite family of large submodules of a module M is large in M.
g. Zz contains no minimal submodules.
h. Qz has no minimal and no maximal submodules.
i. Every divisible Z-module is injective.
j. Every projective module is a free module.
a homomorp
cements
Q.4) Give an example and explain your claim in each case:
a) A module M which has a largest proper submodule, is directly indecomposable.
b) A free subset of a module.
c) A finite free module.
d) A module contains no a direct summand.
e) A short split exact sequence of modules.
1 2
21. For the matrix A
=
3 4
find AT (the transpose of A).
22. Determine whether the vector
@
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3
2
is perpendicular to
-6
3
2
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=
(2)
3
and v2 =
compute V1 V2 (dot product).
.
Chapter 2 Solutions
Contemporary Mathematics for Business and Consumers
Ch. 2.I - For each of the following, identify the type of...Ch. 2.I - Prob. 2TIECh. 2.I - Convert the following mixed numbers to improper...Ch. 2.I - Prob. 4TIECh. 2.I - Prob. 5TIECh. 2.I - Prob. 6TIECh. 2.I - Prob. 1RECh. 2.I - Prob. 2RECh. 2.I - Prob. 3RECh. 2.I - Prob. 4RE
Ch. 2.I - Prob. 5RECh. 2.I - Prob. 6RECh. 2.I - Prob. 7RECh. 2.I - Prob. 8RECh. 2.I - Prob. 9RECh. 2.I - Prob. 10RECh. 2.I - Prob. 11RECh. 2.I - Prob. 12RECh. 2.I - Prob. 13RECh. 2.I - Prob. 14RECh. 2.I - Prob. 15RECh. 2.I - Prob. 16RECh. 2.I - Prob. 17RECh. 2.I - Use inspection or the greatest common divisor to...Ch. 2.I - Use inspection or the greatest common divisor to...Ch. 2.I - Prob. 20RECh. 2.I - Prob. 21RECh. 2.I - Prob. 22RECh. 2.I - Prob. 23RECh. 2.I - Use inspection or the greatest common divisor to...Ch. 2.I - Use inspection or the greatest common divisor to...Ch. 2.I - Prob. 26RECh. 2.I - Prob. 27RECh. 2.I - Prob. 28RECh. 2.I - Prob. 29RECh. 2.I - Raise the following fractions to higher terms as...Ch. 2.I - Prob. 31RECh. 2.I - Raise the following fractions to higher terms as...Ch. 2.I - Prob. 33RECh. 2.I - Prob. 34RECh. 2.I - Prob. 35RECh. 2.I - Prob. 36RECh. 2.I - Prob. 37RECh. 2.I - Raise the following fractions to higher terms as...Ch. 2.I - Raise the following fractions to higher terms as...Ch. 2.I - SECTION I – UNDERSTANDING AND WORKING WITH...Ch. 2.I - Prob. 41RECh. 2.I - Section I • Understanding and working with...Ch. 2.I - Section I Understanding and working with...Ch. 2.I - Section I • Understanding and working with...Ch. 2.II - Determine the least common denominator of the...Ch. 2.II - Prob. 8TIECh. 2.II - Prob. 9TIECh. 2.II - Prob. 10TIECh. 2.II - Prob. 11TIECh. 2.II - Prob. 12TIECh. 2.II - Prob. 13TIECh. 2.II - Prob. 1RECh. 2.II - Prob. 2RECh. 2.II - Prob. 3RECh. 2.II - Prob. 4RECh. 2.II - Prob. 5RECh. 2.II - Prob. 6RECh. 2.II - Prob. 7RECh. 2.II - Prob. 8RECh. 2.II - Prob. 9RECh. 2.II - Prob. 10RECh. 2.II - Prob. 11RECh. 2.II - Prob. 12RECh. 2.II - Prob. 13RECh. 2.II - Prob. 14RECh. 2.II - Prob. 15RECh. 2.II - Prob. 16RECh. 2.II - Prob. 17RECh. 2.II - Crate and Barrel shipped three packages to New...Ch. 2.II - Prob. 19RECh. 2.II - BrewMasters Coffee Co. purchased 1212 tons of...Ch. 2.II - Prob. 21RECh. 2.II - Prob. 22RECh. 2.II - Prob. 23RECh. 2.II - Subtract the following fractions and reduce to...Ch. 2.II - Prob. 25RECh. 2.II - Prob. 26RECh. 2.II - Prob. 27RECh. 2.II - Prob. 28RECh. 2.II - Prob. 29RECh. 2.II - A particular dress requires 314 yards of fabric...Ch. 2.II - 31. Robert Burkart bought a frozen,...Ch. 2.II - 32. Brady White weighed pounds when he decided to...Ch. 2.II - Prob. 33RECh. 2.II - Tim Kenney, a painter, used 645 gallons of paint...Ch. 2.II - You are an executive with the Varsity Corporation...Ch. 2.III - Multiply and reduce to lowest terms.
Ch. 2.III - Multiply and reduce to lowest terms.
a. b.
Ch. 2.III - Divide the following fractions and mixed...Ch. 2.III - Multiply the following fractions and reduce to...Ch. 2.III - Multiply the following fractions and reduce to...Ch. 2.III - Multiply the following fractions and reduce to...Ch. 2.III - Multiply the following fractions and reduce to...Ch. 2.III - Multiply the following fractions and reduce to...Ch. 2.III - Multiply the following fractions and reduce to...Ch. 2.III - Multiply the following fractions and reduce to...Ch. 2.III - Multiply the following fractions and reduce to...Ch. 2.III - Multiply the following fractions and reduce to...Ch. 2.III - Multiply the following fractions and reduce to...Ch. 2.III - Multiply the following fractions and reduce to...Ch. 2.III - Multiply the following fractions and reduce to...Ch. 2.III - 13. A recent market research survey showed that ...Ch. 2.III - 14. Wendy Wilson planned to bake a triple recipe...Ch. 2.III - A driveway requires 912 truckloads of gravel. If...Ch. 2.III - Melissa Silva borrowed $4,200 from the bank. If...Ch. 2.III - Amy Richards movie collection occupies 58 of her...Ch. 2.III - Three partners share a business. Max owns 38,...Ch. 2.III - Divide the following fractions and reduce to...Ch. 2.III - Divide the following fractions and reduce to...Ch. 2.III - Divide the following fractions and reduce to...Ch. 2.III - Divide the following fractions and reduce to...Ch. 2.III - Divide the following fractions and reduce to...Ch. 2.III - Divide the following fractions and reduce to...Ch. 2.III - Divide the following fractions and reduce to...Ch. 2.III - Divide the following fractions and reduce to...Ch. 2.III - Divide the following fractions and reduce to...Ch. 2.III - Divide the following fractions and reduce to...Ch. 2.III - Divide the following fractions and reduce to...Ch. 2.III - Divide the following fractions and reduce to...Ch. 2.III - Frontier Homes, Inc., a builder of custom homes,...Ch. 2.III - An automobile travels 365 miles on 1623 gallons of...Ch. 2.III - 33. Pier 1 Imports purchased 600 straw baskets...Ch. 2.III - 34. At the Cattleman’s Market, pounds of...Ch. 2.III - 35. Super Value Hardware Supply buys nails in bulk...Ch. 2.III - The chef at the Sizzling Steakhouse has 140 pounds...Ch. 2.III - Regal Reflective Signs makes speed limit signs for...Ch. 2.III - 38. Engineers at Triangle Electronics use special...Ch. 2.III - 39. At Celtex Manufacturing, a chemical etching...Ch. 2.III - 40. You are the owner of The Gourmet Diner. On...Ch. 2 - 1. In fractions, the number above the division...Ch. 2 - 2. The numerator of a proper fraction is...Ch. 2 - To convert an improper fraction to a whole or...Ch. 2 - 4. To convert a mixed number to an improper...Ch. 2 - Prob. 5CRCh. 2 - Prob. 6CRCh. 2 - Prob. 7CRCh. 2 - Prob. 8CRCh. 2 - Prob. 9CRCh. 2 - Prob. 10CRCh. 2 - Prob. 11CRCh. 2 - Prob. 12CRCh. 2 - Prob. 13CRCh. 2 - Prob. 14CRCh. 2 - Identify the type of fraction and write it in word...Ch. 2 - Prob. 2ATCh. 2 - Prob. 3ATCh. 2 - Prob. 4ATCh. 2 - Prob. 5ATCh. 2 - Prob. 6ATCh. 2 - Prob. 7ATCh. 2 - Prob. 8ATCh. 2 - Prob. 9ATCh. 2 - Convert to higher terms as indicated.
10. to...Ch. 2 - Prob. 11ATCh. 2 - Prob. 12ATCh. 2 - Prob. 13ATCh. 2 - Prob. 14ATCh. 2 - Prob. 15ATCh. 2 - Prob. 16ATCh. 2 - Prob. 17ATCh. 2 - Prob. 18ATCh. 2 - Prob. 19ATCh. 2 - Prob. 20ATCh. 2 - 21. The Bean Counters, an accounting firm, has 161...Ch. 2 - Ventura Coal mined 623 tons on Monday, 734 tons on...Ch. 2 - 23. A blueprint of a house has a scale of 1 inch...Ch. 2 - If 38 of a 60-pound bag of ready-mix concrete is...Ch. 2 - Prob. 25ATCh. 2 - 26. During a spring clearance sale, Sears...Ch. 2 - You are a sales representative for Boaters...Ch. 2 - 28. A developer owns three lots measuring acres...Ch. 2 - 29. A house has 4,400 square feet. The bedrooms...Ch. 2 - 30. Among other ingredients, a recipe for linguini...Ch. 2 - You are an engineer with Ace Foundations, Inc....
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