Elementary and Intermediate Algebra
6th Edition
ISBN: 9780321848741
Author: Marvin L. Bittinger
Publisher: PEARSON
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Textbook Question
Chapter 6.2, Problem 4QQ
Perform the indicated operation and, if possible, simplify. [6.2]
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Question 4
(a) The following matrices represent linear maps on R² with respect to an
orthonormal basis:
=
[1/√5 2/√5
[2/√5 -1/√5]
"
[1/√5 2/√5]
A =
B =
[2/√5 1/√5] 1
C =
D =
=
=
[ 1/3/5 2/35]
1/√5 2/√5
-2/√5 1/√5'
For each of the matrices A, B, C, D, state whether it represents a self-adjoint
linear map, an orthogonal linear map, both, or neither.
(b) For the quadratic form
q(x, y, z) = y² + 2xy +2yz
over R, write down a linear change of variables to u, v, w such that q in these
terms is in canonical form for Sylvester's Law of Inertia.
[6]
[4]
part b please
Question 5
(a) Let a, b, c, d, e, ƒ Є K where K is a field. Suppose that the determinant of the
matrix
a cl
|df
equals 3 and the determinant of
determinant of the matrix
a+3b cl
d+3e f
ГЪ
e
[ c ] equals 2. Compute the
[5]
(b) Calculate the adjugate Adj (A) of the 2 × 2 matrix
[1 2
A
=
over R.
(c) Working over the field F3 with 3 elements, use row and column operations to put
the matrix
[6]
0123]
A
=
3210
into canonical form for equivalence and write down the canonical form. What is
the rank of A as a matrix over F3?
4
Chapter 6 Solutions
Elementary and Intermediate Algebra
Ch. 6.1 - 1. Find all numbers for which the rational...Ch. 6.1 - Simplify: 15ab220b.Ch. 6.1 - 3. Simplify:
Ch. 6.1 - 4. Simplify:
Ch. 6.1 - Simplify: n2162n2+7n4.Ch. 6.1 - 6. Simplify:
Ch. 6.1 - Choose the word written under the blank that best...Ch. 6.1 - Choose the word written under the blank that best...Ch. 6.1 - Choose the word written under the blank that best...Ch. 6.1 - Choose the word written under the blank that best...
Ch. 6.1 - In each of Exercises 5-8, match the rational...Ch. 6.1 - In each of Exercises 5-8, match the rational...Ch. 6.1 - In each of Exercises 5-8, match the rational...Ch. 6.1 - In each of Exercises 5-8, match the rational...Ch. 6.1 - List all numbers for which each rational...Ch. 6.1 - List all numbers for which each rational...Ch. 6.1 - List all numbers for which each rational...Ch. 6.1 - List all numbers for which each rational...Ch. 6.1 - List all numbers for which each rational...Ch. 6.1 - List all numbers for which each rational...Ch. 6.1 - List all numbers for which each rational...Ch. 6.1 - List all numbers for which each rational...Ch. 6.1 - List all numbers for which each rational...Ch. 6.1 - List all numbers for which each rational...Ch. 6.1 - Simplify. Show all steps. 50a2b40ab3Ch. 6.1 - Simplify. Show all steps. 24x4y36x7yCh. 6.1 - Simplify. Show all steps.
21.
Ch. 6.1 - Simplify. Show all steps. 5n305n+5Ch. 6.1 - Simplify. Show all steps. 21t724t8Ch. 6.1 - Simplify. Show all steps. 10n+258n+20Ch. 6.1 - Simplify. Show all steps. a29a2+4a+3Ch. 6.1 - Simplify. Show all steps. a2+5a+6a29Ch. 6.1 - Prob. 27ESCh. 6.1 - Prob. 28ESCh. 6.1 - Prob. 29ESCh. 6.1 - Prob. 30ESCh. 6.1 - Prob. 31ESCh. 6.1 - Prob. 32ESCh. 6.1 - Prob. 33ESCh. 6.1 - Prob. 34ESCh. 6.1 - Prob. 35ESCh. 6.1 - Prob. 36ESCh. 6.1 - Prob. 37ESCh. 6.1 - Prob. 38ESCh. 6.1 - Prob. 39ESCh. 6.1 - Prob. 40ESCh. 6.1 - Prob. 41ESCh. 6.1 - Prob. 42ESCh. 6.1 - Prob. 43ESCh. 6.1 - Prob. 44ESCh. 6.1 - Prob. 45ESCh. 6.1 - Prob. 46ESCh. 6.1 - Prob. 47ESCh. 6.1 - Prob. 48ESCh. 6.1 - Prob. 49ESCh. 6.1 - Prob. 50ESCh. 6.1 - Prob. 51ESCh. 6.1 - Prob. 52ESCh. 6.1 - Simplify. 7t142tCh. 6.1 - Prob. 54ESCh. 6.1 - Prob. 55ESCh. 6.1 - Prob. 56ESCh. 6.1 - Prob. 57ESCh. 6.1 - Prob. 58ESCh. 6.1 - Prob. 59ESCh. 6.1 - Prob. 60ESCh. 6.1 - Prob. 61ESCh. 6.1 - Prob. 62ESCh. 6.1 - Prob. 63ESCh. 6.1 - Prob. 64ESCh. 6.1 - Prob. 65ESCh. 6.1 - Prob. 66ESCh. 6.1 - Prob. 67ESCh. 6.1 - Prob. 68ESCh. 6.1 - Prob. 69ESCh. 6.1 - Prob. 70ESCh. 6.1 - Prob. 71ESCh. 6.1 - Prob. 72ESCh. 6.1 - Prob. 73ESCh. 6.1 - Prob. 74ESCh. 6.1 - Prob. 75ESCh. 6.1 - Prob. 76ESCh. 6.1 - Prob. 77ESCh. 6.1 - Prob. 78ESCh. 6.1 - Prob. 79ESCh. 6.1 - Prob. 80ESCh. 6.1 - Prob. 81ESCh. 6.1 - Simplify. [1.7]
1.
Ch. 6.1 - Simplify. [1.7]
2.
Ch. 6.1 - Simplify. [1.7] 5816Ch. 6.1 - Simplify. [1.7]
4.
Ch. 6.2 - 1. Multiply and, if possible, simplify:
Ch. 6.2 - 2. Divide:
Ch. 6.2 - 3. Divide and, if possible, simplify:
Ch. 6.2 - Simplify: 6x254x27x+12. [6.1]Ch. 6.2 - Perform the indicated operation and, if possible,...Ch. 6.2 - Perform the indicated operation and, if possible,...Ch. 6.2 - Perform the indicated operation and, if possible,...Ch. 6.2 - Perform the indicated operation and, if possible,...Ch. 6.2 - Choose from the following list the correct ending...Ch. 6.2 - Choose from the following list the correct ending...Ch. 6.2 - Choose from the following list the correct ending...Ch. 6.2 - Choose from the following list the correct ending...Ch. 6.2 - In each of Exercises 5-10, match the product or...Ch. 6.2 - In each of Exercises 5-10, match the product or...Ch. 6.2 - In each of Exercises 5-10, match the product or...Ch. 6.2 - In each of Exercises 5-10, match the product or...Ch. 6.2 - In each of Exercises 5-10, match the product or...Ch. 6.2 - In each of Exercises 5-10, match the product or...Ch. 6.2 - Multiply. Leave each answer in factored form.
11....Ch. 6.2 - Multiply. Leave each answer in factored form....Ch. 6.2 - Multiply. Leave each answer in factored form....Ch. 6.2 - Prob. 14ESCh. 6.2 - Prob. 15ESCh. 6.2 - Prob. 16ESCh. 6.2 - Prob. 17ESCh. 6.2 - Prob. 18ESCh. 6.2 - Prob. 19ESCh. 6.2 - Prob. 20ESCh. 6.2 - Prob. 21ESCh. 6.2 - Prob. 22ESCh. 6.2 - Prob. 23ESCh. 6.2 - Prob. 24ESCh. 6.2 - Prob. 25ESCh. 6.2 - Prob. 26ESCh. 6.2 - Prob. 27ESCh. 6.2 - Prob. 28ESCh. 6.2 - Prob. 29ESCh. 6.2 - Multiply and, if possible, simplify. Leave any...Ch. 6.2 - Prob. 31ESCh. 6.2 - Prob. 32ESCh. 6.2 - Prob. 33ESCh. 6.2 - Prob. 34ESCh. 6.2 - Prob. 35ESCh. 6.2 - Prob. 36ESCh. 6.2 - Prob. 37ESCh. 6.2 - Prob. 38ESCh. 6.2 - Prob. 39ESCh. 6.2 - Prob. 40ESCh. 6.2 - Prob. 41ESCh. 6.2 - Prob. 42ESCh. 6.2 - Prob. 43ESCh. 6.2 - Prob. 44ESCh. 6.2 - Prob. 45ESCh. 6.2 - Prob. 46ESCh. 6.2 - Prob. 47ESCh. 6.2 - Prob. 48ESCh. 6.2 - Prob. 49ESCh. 6.2 - Prob. 50ESCh. 6.2 - Prob. 51ESCh. 6.2 - Prob. 52ESCh. 6.2 - Prob. 53ESCh. 6.2 - Prob. 54ESCh. 6.2 - Prob. 55ESCh. 6.2 - Prob. 56ESCh. 6.2 - Prob. 57ESCh. 6.2 - Prob. 58ESCh. 6.2 - Prob. 59ESCh. 6.2 - Prob. 60ESCh. 6.2 - Prob. 61ESCh. 6.2 - Prob. 62ESCh. 6.2 - Prob. 63ESCh. 6.2 - Prob. 64ESCh. 6.2 - Prob. 65ESCh. 6.2 - Prob. 66ESCh. 6.2 - Prob. 67ESCh. 6.2 - Prob. 68ESCh. 6.2 - Prob. 69ESCh. 6.2 - Prob. 70ESCh. 6.2 - Prob. 71ESCh. 6.2 - Prob. 72ESCh. 6.2 - Prob. 73ESCh. 6.2 - Prob. 74ESCh. 6.2 - Prob. 75ESCh. 6.2 - Prob. 76ESCh. 6.2 - Prob. 77ESCh. 6.2 - Prob. 78ESCh. 6.2 - Prob. 79ESCh. 6.2 - Prob. 80ESCh. 6.2 - Prob. 81ESCh. 6.2 - Prob. 82ESCh. 6.2 - Prob. 83ESCh. 6.2 - Prob. 84ESCh. 6.2 - Prob. 85ESCh. 6.2 - Prob. 86ESCh. 6.2 - Prob. 87ESCh. 6.2 - Prob. 88ESCh. 6.2 - Prob. 89ESCh. 6.2 - Prob. 90ESCh. 6.2 - Prob. 91ESCh. 6.2 - Prob. 92ESCh. 6.2 - Prob. 93ESCh. 6.2 - 94. Find the reciprocal of
Ch. 6.2 - Prob. 95ESCh. 6.2 - Prob. 96ESCh. 6.2 - Prob. 97ESCh. 6.2 - Prob. 98ESCh. 6.2 - Prob. 99ESCh. 6.2 - Prob. 100ESCh. 6.2 - Prob. 101ESCh. 6.2 - Prob. 102ESCh. 6.2 - Prob. 103ESCh. 6.2 - Prob. 104ESCh. 6.2 - Prob. 105ESCh. 6.2 - Prob. 106ESCh. 6.2 - Prob. 107ESCh. 6.2 - Prob. 108ESCh. 6.2 - Prob. 109ESCh. 6.3 - Prob. 1YTCh. 6.3 - Prob. 2YTCh. 6.3 - Prob. 3YTCh. 6.3 - Prob. 4YTCh. 6.3 - Prob. 5YTCh. 6.3 - Prob. 6YTCh. 6.3 - Prob. 1ESCh. 6.3 - Prob. 2ESCh. 6.3 - Prob. 3ESCh. 6.3 - Prob. 4ESCh. 6.3 - Prob. 5ESCh. 6.3 - Prob. 6ESCh. 6.3 - Prob. 7ESCh. 6.3 - Prob. 8ESCh. 6.3 - Prob. 9ESCh. 6.3 - Prob. 10ESCh. 6.3 - Prob. 11ESCh. 6.3 - Prob. 12ESCh. 6.3 - Prob. 13ESCh. 6.3 - Prob. 14ESCh. 6.3 - Prob. 15ESCh. 6.3 - Prob. 16ESCh. 6.3 - Prob. 17ESCh. 6.3 - Perform the indicated operation. Simplify, if...Ch. 6.3 - Prob. 19ESCh. 6.3 - Prob. 20ESCh. 6.3 - Prob. 21ESCh. 6.3 - Prob. 22ESCh. 6.3 - Prob. 23ESCh. 6.3 - Prob. 24ESCh. 6.3 - Prob. 25ESCh. 6.3 - Prob. 26ESCh. 6.3 - Prob. 27ESCh. 6.3 - Prob. 28ESCh. 6.3 - Prob. 29ESCh. 6.3 - Prob. 30ESCh. 6.3 - Prob. 31ESCh. 6.3 - Prob. 32ESCh. 6.3 - Prob. 33ESCh. 6.3 - Prob. 34ESCh. 6.3 - Prob. 35ESCh. 6.3 - Prob. 36ESCh. 6.3 - Prob. 37ESCh. 6.3 - Prob. 38ESCh. 6.3 - Prob. 39ESCh. 6.3 - Prob. 40ESCh. 6.3 - Prob. 41ESCh. 6.3 - Prob. 42ESCh. 6.3 - Prob. 43ESCh. 6.3 - Prob. 44ESCh. 6.3 - Prob. 45ESCh. 6.3 - Prob. 46ESCh. 6.3 - Prob. 47ESCh. 6.3 - Prob. 48ESCh. 6.3 - Prob. 49ESCh. 6.3 - Prob. 50ESCh. 6.3 - Prob. 51ESCh. 6.3 - Prob. 52ESCh. 6.3 - Prob. 53ESCh. 6.3 - Prob. 54ESCh. 6.3 - Prob. 55ESCh. 6.3 - Prob. 56ESCh. 6.3 - Prob. 57ESCh. 6.3 - Prob. 58ESCh. 6.3 - Prob. 59ESCh. 6.3 - Prob. 60ESCh. 6.3 - Prob. 61ESCh. 6.3 - Prob. 62ESCh. 6.3 - Prob. 63ESCh. 6.3 - Prob. 64ESCh. 6.3 - Prob. 65ESCh. 6.3 - Prob. 66ESCh. 6.3 - Prob. 67ESCh. 6.3 - Prob. 68ESCh. 6.3 - Prob. 69ESCh. 6.3 - Prob. 70ESCh. 6.3 - Prob. 71ESCh. 6.3 - Prob. 72ESCh. 6.3 - Prob. 73ESCh. 6.3 - Prob. 74ESCh. 6.3 - Prob. 75ESCh. 6.3 - Prob. 76ESCh. 6.3 - Prob. 77ESCh. 6.3 - Prob. 78ESCh. 6.3 - Prob. 79ESCh. 6.3 - Prob. 80ESCh. 6.3 - Prob. 81ESCh. 6.3 - Prob. 82ESCh. 6.3 - Prob. 83ESCh. 6.3 - Prob. 84ESCh. 6.3 - Prob. 85ESCh. 6.3 - Prob. 86ESCh. 6.3 - For technical reasons, the number of strands is...Ch. 6.3 - Prob. 88ESCh. 6.3 - Prob. 89ESCh. 6.3 - Prob. 90ESCh. 6.3 - Prob. 91ESCh. 6.3 - Prob. 92ESCh. 6.3 - Prob. 93ESCh. 6.3 - Prob. 94ESCh. 6.3 - Prob. 95ESCh. 6.3 - Prob. 96ESCh. 6.3 - Prob. 97ESCh. 6.3 - Prob. 1QQCh. 6.3 - Prob. 2QQCh. 6.3 - Prob. 3QQCh. 6.3 - Prob. 4QQCh. 6.3 - Prob. 5QQCh. 6.3 - Prob. 1PTMOCh. 6.3 - Prob. 2PTMOCh. 6.3 - Prob. 3PTMOCh. 6.3 - Prob. 4PTMOCh. 6.3 - Prob. 5PTMOCh. 6.3 - Prob. 6PTMOCh. 6.4 - Prob. 1YTCh. 6.4 - Prob. 2YTCh. 6.4 - Prob. 3YTCh. 6.4 - Prob. 4YTCh. 6.4 - Prob. 5YTCh. 6.4 - Prob. 6YTCh. 6.4 - Prob. 7YTCh. 6.4 - Prob. 1ESCh. 6.4 - Prob. 2ESCh. 6.4 - Prob. 3ESCh. 6.4 - Prob. 4ESCh. 6.4 - Prob. 5ESCh. 6.4 - Prob. 6ESCh. 6.4 - Prob. 7ESCh. 6.4 - Prob. 8ESCh. 6.4 - Prob. 9ESCh. 6.4 - Prob. 10ESCh. 6.4 - Prob. 11ESCh. 6.4 - Prob. 12ESCh. 6.4 - Prob. 13ESCh. 6.4 - Prob. 14ESCh. 6.4 - Prob. 15ESCh. 6.4 - Prob. 16ESCh. 6.4 - Prob. 17ESCh. 6.4 - Prob. 18ESCh. 6.4 - Prob. 19ESCh. 6.4 - Prob. 20ESCh. 6.4 - Prob. 21ESCh. 6.4 - Prob. 22ESCh. 6.4 - Prob. 23ESCh. 6.4 - Prob. 24ESCh. 6.4 - Prob. 25ESCh. 6.4 - Prob. 26ESCh. 6.4 - Prob. 27ESCh. 6.4 - Prob. 28ESCh. 6.4 - Prob. 29ESCh. 6.4 - Prob. 30ESCh. 6.4 - Prob. 31ESCh. 6.4 - Prob. 32ESCh. 6.4 - Prob. 33ESCh. 6.4 - Prob. 34ESCh. 6.4 - Prob. 35ESCh. 6.4 - Prob. 36ESCh. 6.4 - Prob. 37ESCh. 6.4 - Prob. 38ESCh. 6.4 - Prob. 39ESCh. 6.4 - Prob. 40ESCh. 6.4 - Prob. 41ESCh. 6.4 - Prob. 42ESCh. 6.4 - Prob. 43ESCh. 6.4 - Prob. 44ESCh. 6.4 - Prob. 45ESCh. 6.4 - Prob. 46ESCh. 6.4 - Prob. 47ESCh. 6.4 - Prob. 48ESCh. 6.4 - Perform the indicated operation. Simplify, if...Ch. 6.4 - Prob. 50ESCh. 6.4 - Prob. 51ESCh. 6.4 - Prob. 52ESCh. 6.4 - Prob. 53ESCh. 6.4 - Prob. 54ESCh. 6.4 - Prob. 55ESCh. 6.4 - Prob. 56ESCh. 6.4 - Prob. 57ESCh. 6.4 - Prob. 58ESCh. 6.4 - Perform the indicated operation. Simplify, if...Ch. 6.4 - Perform the indicated operation. Simplify, if...Ch. 6.4 - Prob. 61ESCh. 6.4 - Prob. 62ESCh. 6.4 - Prob. 63ESCh. 6.4 - Prob. 64ESCh. 6.4 - Prob. 65ESCh. 6.4 - Prob. 66ESCh. 6.4 - Prob. 67ESCh. 6.4 - Perform the indicated operation. Simplify, if...Ch. 6.4 - Prob. 69ESCh. 6.4 - Prob. 70ESCh. 6.4 - Prob. 71ESCh. 6.4 - Prob. 72ESCh. 6.4 - Prob. 73ESCh. 6.4 - Prob. 74ESCh. 6.4 - Prob. 75ESCh. 6.4 - Perform the indicated operations. Simplify, if...Ch. 6.4 - Prob. 77ESCh. 6.4 - Prob. 78ESCh. 6.4 - Perform the indicated operations. Simplify, if...Ch. 6.4 - Prob. 80ESCh. 6.4 - Prob. 81ESCh. 6.4 - Prob. 82ESCh. 6.4 - Prob. 83ESCh. 6.4 - Prob. 84ESCh. 6.4 - Prob. 85ESCh. 6.4 - Prob. 86ESCh. 6.4 - Prob. 87ESCh. 6.4 - Prob. 88ESCh. 6.4 - Prob. 89ESCh. 6.4 - Prob. 90ESCh. 6.4 - Prob. 91ESCh. 6.4 - Prob. 92ESCh. 6.4 - Prob. 93ESCh. 6.4 - Prob. 94ESCh. 6.4 - Prob. 95ESCh. 6.4 - Prob. 96ESCh. 6.4 - Prob. 97ESCh. 6.4 - Prob. 98ESCh. 6.4 - Prob. 99ESCh. 6.4 - Prob. 100ESCh. 6.4 - Prob. 101ESCh. 6.4 - Prob. 102ESCh. 6.4 - Prob. 103ESCh. 6.4 - Prob. 1QQCh. 6.4 - Prob. 2QQCh. 6.4 - Prob. 3QQCh. 6.4 - Prob. 4QQCh. 6.4 - Prob. 5QQCh. 6.4 - Prob. 1PTMOCh. 6.4 - Prob. 2PTMOCh. 6.4 - Prob. 3PTMOCh. 6.4 - Prob. 4PTMOCh. 6.4 - Prob. 1MCRCh. 6.4 - Prob. 2MCRCh. 6.4 - Prob. 3MCRCh. 6.4 - Prob. 4MCRCh. 6.4 - Prob. 5MCRCh. 6.4 - Prob. 6MCRCh. 6.4 - Prob. 7MCRCh. 6.4 - Prob. 8MCRCh. 6.4 - Prob. 9MCRCh. 6.4 - Prob. 10MCRCh. 6.4 - Prob. 11MCRCh. 6.4 - Prob. 12MCRCh. 6.4 - Prob. 13MCRCh. 6.4 - Prob. 14MCRCh. 6.4 - Prob. 15MCRCh. 6.4 - Prob. 16MCRCh. 6.4 - Prob. 17MCRCh. 6.4 - Prob. 18MCRCh. 6.4 - Prob. 19MCRCh. 6.4 - Prob. 20MCRCh. 6.5 - 1. Simplify: .
Ch. 6.5 - Simplify: 1t15t5t.Ch. 6.5 - 3. Simplify: .
Ch. 6.5 - Simplify: 123xx49x.Ch. 6.5 - Consider the expression Choose from the following...Ch. 6.5 - Consider the expression
Choose from the following...Ch. 6.5 - Consider the expression Choose from the following...Ch. 6.5 - Consider the expression
Choose from the following...Ch. 6.5 - Each of Exercises 5–8 shows a complex rational...Ch. 6.5 - Each of Exercises 5–8 shows a complex rational...Ch. 6.5 - Each of Exercises 58 shows a complex rational...Ch. 6.5 - Each of Exercises 58 shows a complex rational...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - 55. Is it possible to simplify complex rational...Ch. 6.5 - Why is the distributive law important when...Ch. 6.5 - Factor. 6x39x24x [5.1]Ch. 6.5 - Factor.
58. [5.1]
Ch. 6.5 - Factor. 30n33n29n [5.3]Ch. 6.5 - Factor.
60. [5.4]
Ch. 6.5 - Factor.
61 [5.4]
Ch. 6.5 - Factor. p2w22pw120 [5.4]Ch. 6.5 - Prob. 63ESCh. 6.5 - Prob. 64ESCh. 6.5 - In each of Exercises 65–68, find all x-values for...Ch. 6.5 - In each of Exercises 65–68, find all x-values for...Ch. 6.5 - In each of Exercises 6568, find all x-values for...Ch. 6.5 - In each of Exercises 65–68, find all x-values for...Ch. 6.5 - Use multiplication by the LCD (Method 2) to show...Ch. 6.5 - 70. The formula
where P is a loan amount and i...Ch. 6.5 - Prob. 71ESCh. 6.5 - Simplify. z1z2+2z2z2z5z23Ch. 6.5 - Simplify. Aha! [x1x11x+1x1+1]5Ch. 6.5 - Simplify.
74.
Ch. 6.5 - Simplify.
75.
Ch. 6.5 - Simplify.
76.
Ch. 6.5 - Simplify. Find the simplified form for the...Ch. 6.5 - Simplify.
78. Under what circumstance(s) will...Ch. 6.5 - Simplify. 8x220x124x214x+6 [6.2]Ch. 6.5 - Simplify.
2. [6.5]
Ch. 6.5 - Perform the indicated operation and, if possible,...Ch. 6.5 - Perform the indicated operation and, if possible,...Ch. 6.5 - Perform the indicated operation and, if possible,...Ch. 6.5 - Solve.
1.
Ch. 6.5 - Solve.
2. [2.2]
Ch. 6.5 - Solve. x2+13x30=0 [5.7]Ch. 6.5 - Solve. 2x2+4x+2=0[5.7]Ch. 6.6 - Solve: t3+t5=1.Ch. 6.6 - 2. Solve: .
Ch. 6.6 - Solve: 6x24=x+1x22x.Ch. 6.6 - Tell whether each exercise contains either an...Ch. 6.6 - Prob. 2ECh. 6.6 - Prob. 3ECh. 6.6 - Tell whether each exercise contains either an...Ch. 6.6 - Tell whether each exercise contains either an...Ch. 6.6 - Prob. 6ECh. 6.6 - Prob. 1ESCh. 6.6 - Classify each of the following statements as...Ch. 6.6 - Classify each of the following statements as...Ch. 6.6 - Classify each of the following statements as...Ch. 6.6 - Solve. If no solution exits, state this.
5.
Ch. 6.6 - Solve. If no solution exits, state this. 5835=x10Ch. 6.6 - Solve. If no solution exits, state this.
7.
Ch. 6.6 - Solve. If no solution exits, state this.
8.
Ch. 6.6 - Solve. If no solution exits, state this. x66x=0Ch. 6.6 - Solve. If no solution exits, state this.
10.
Ch. 6.6 - Solve. If no solution exits, state this.
11.
Ch. 6.6 - Solve. If no solution exits, state this.
12.
Ch. 6.6 - Solve. If no solution exits, state this.
13.
Ch. 6.6 - Solve. If no solution exits, state this.
14.
Ch. 6.6 - Solve. If no solution exits, state this.
15.
Ch. 6.6 - Solve. If no solution exits, state this. x2=18xCh. 6.6 - Solve. If no solution exits, state this. y+4y=5Ch. 6.6 - Solve. If no solution exits, state this. n+3n=4Ch. 6.6 - Solve. If no solution exits, state this.
19.
Ch. 6.6 - Solve. If no solution exits, state this. a4a+6=13Ch. 6.6 - Solve. If no solution exits, state this.
21.
Ch. 6.6 - Solve. If no solution exits, state this.
22.
Ch. 6.6 - Solve. If no solution exits, state this. 3x4=5x+1Ch. 6.6 - Solve. If no solution exits, state this.
24.
Ch. 6.6 - Solve. If no solution exits, state this. a6a10=16Ch. 6.6 - Solve. If no solution exits, state this. t8t12=18Ch. 6.6 - Solve. If no solution exits, state this.
27.
Ch. 6.6 - Solve. If no solution exits, state this. x+251=x24Ch. 6.6 - Solve. If no solution exits, state this.
29.
Ch. 6.6 - Solve. If no solution exits, state this.
30.
Ch. 6.6 - Solve. If no solution exits, state this. 3x+4=5xCh. 6.6 - Solve. If no solution exits, state this. 2x+3=7xCh. 6.6 - Solve. If no solution exits, state this.
33.
Ch. 6.6 - Solve. If no solution exits, state this.
34.
Ch. 6.6 - Solve. If no solution exits, state this.
35.
Ch. 6.6 - Solve. If no solution exits, state this....Ch. 6.6 - Solve. If no solution exits, state this.
37.
Ch. 6.6 - Solve. If no solution exits, state this....Ch. 6.6 - Solve. If no solution exits, state this....Ch. 6.6 - Solve. If no solution exits, state this....Ch. 6.6 - Solve. If no solution exits, state this....Ch. 6.6 - Solve. If no solution exits, state this.
42.
Ch. 6.6 - Solve. If no solution exits, state this. 76a=a+1a6Ch. 6.6 - Solve. If no solution exits, state this....Ch. 6.6 - Solve. If no solution exits, state this. Aha!...Ch. 6.6 - Solve. If no solution exits, state this.
46.
Ch. 6.6 - Solve. If no solution exits, state this....Ch. 6.6 - Solve. If no solution exits, state this....Ch. 6.6 - When solving rational equations, why do we...Ch. 6.6 - Prob. 50ESCh. 6.6 - 51. Find the x-intercept and the y-intercept of...Ch. 6.6 - 52. Find the slop the line containing the points ...Ch. 6.6 - 53. Find the slope and the y-intercept of the line...Ch. 6.6 - 54. Determine whether the graphs of the following...Ch. 6.6 - 55. Write the slope-intercept equation of the line...Ch. 6.6 - 56. Write a point-slope equation for the line with...Ch. 6.6 - Describe a method that can be used to create...Ch. 6.6 - 58. How can a graph be used to determine how many...Ch. 6.6 - Solve. 1+x1x3=2x3xCh. 6.6 - Solve.
60.
Ch. 6.6 - Solve.
61.
Ch. 6.6 - Solve.
62.
Ch. 6.6 - Solve.
63.
Ch. 6.6 - Solve.
64.
Ch. 6.6 - Solve. 1x1+x5=5x4x16Ch. 6.6 - Solve. 53aa2+4a+32a+2a+3=3aa+1Ch. 6.6 - Solve.
67.
Ch. 6.6 - Solve.
68.
Ch. 6.6 - Use a graphing calculator to check your answers to...Ch. 6.6 - 70. The reciprocal of a number is the number...Ch. 6.6 - 1. Multiply and, if possible,...Ch. 6.6 - Find the LCM x34x,x2x2 [6.3]Ch. 6.6 - 3. Subtract and, if possible, simplify: . [6.4]
Ch. 6.6 - 4. Simplify: . [6.5]
Ch. 6.6 - 5. Solve: . [6.6]
Ch. 6.6 - Solve. The sum of two consecutive odd numbers is...Ch. 6.6 - Solve.
2. The product of two consecutive even...Ch. 6.6 - Solve. The height of a triangle is 3 cm longer...Ch. 6.6 - Solve. Between June 9 and June 24, Seths beard...Ch. 6.7 - Refer to Example 1. Suppose that Brian can pick...Ch. 6.7 - 2. Oliver can paint the trim on the Polinskis’...Ch. 6.7 - Peter can drive 25 mph faster on the highway than...Ch. 6.7 - 4. At a length of 4 km, the Comal River in Texas...Ch. 6.7 - Prob. 5YTCh. 6.7 - 6. Refer to Example 6. Suppose that the width of...Ch. 6.7 - 7. Refer to Example 7. Suppose that Brent sent or...Ch. 6.7 - Refer to Example 8. Suppose that the team captured...Ch. 6.7 - Classify each of the following statements as...Ch. 6.7 - Classify each of the following statements as...Ch. 6.7 - Classify each of the following statements as...Ch. 6.7 - Classify each of the following statements as...Ch. 6.7 - Classify each of the following statements as...Ch. 6.7 - Classify each of the following statements as...Ch. 6.7 - Find each rate. If Sandy can decorate a cake in 2...Ch. 6.7 - Find each rate. If Eric can decorate a cake in 3...Ch. 6.7 - Find each rate.
9. If Sandy can decorate a cake in...Ch. 6.7 - Find each rate.
10. If Lisa and Mark can now a...Ch. 6.7 - Find each rate.
11. If Lisa can mow a lawn by...Ch. 6.7 - Find each rate. If Lisa and Mark can mow a lawn...Ch. 6.7 - Volunteerism. It takes Kelby 10 hr per week to...Ch. 6.7 - 14. Pumping Water. An ABS Robusta 300 TS sump pump...Ch. 6.7 - Home Restoration. Bryan can refinish the floor of...Ch. 6.7 - Custom Embroidery. Chandra can embroider logos on...Ch. 6.7 - 17. Filling a Pool. The San Paulo community...Ch. 6.7 - Filling a Tank. A community water tank can be...Ch. 6.7 - Scanners. The Epson WorkForce DS-6500 takes twice...Ch. 6.7 - 20. Cutting Firewood. Kent can cut and split a...Ch. 6.7 - 21. Mulching. Anita can mulch the college gardens...Ch. 6.7 - 22. Photo Printing. It takes the Canon PIXMA...Ch. 6.7 - 23. Software Development. Tristan, an experienced...Ch. 6.7 - Forest Fires. The Erickson Air-Crane helicopter...Ch. 6.7 - Paving. Together, Steve and Bill require 4 hr 48...Ch. 6.7 - Paving. Together, Steve and Bill require 4 hr. 48...Ch. 6.7 - Train Speeds. A CSX freight train is traveling 14...Ch. 6.7 - 28. Speed of Travel. A loaded Roadway truck is...Ch. 6.7 - Driving Speed. Seans Camaro travels 15 mph faster...Ch. 6.7 - 30. Bicycle Speed. Ada bicycles 5 km/h slower than...Ch. 6.7 - Kayaking. The speed of the current in Catamount...Ch. 6.7 - 32. Boating. The current in the Lazy River moves...Ch. 6.7 - Moving Sidewalks. The moving sidewalk at OHare...Ch. 6.7 - Moving Sidewalks. Newark Airports moving sidewalk...Ch. 6.7 - Aha! Tractor Speed. Manleys tractor is just as...Ch. 6.7 - 36. Boat Speed. Tory and Emilio’s motorboats...Ch. 6.7 - 37. Aviation. A Citation CV jet travels 460 mph in...Ch. 6.7 - Canoeing. Chad paddles 55 m/ min in still water....Ch. 6.7 - 39. Train Travel. A freight train covered 120 mi...Ch. 6.7 - Moped Speed. Dexter rode 60 mi on his moped at a...Ch. 6.7 - Geometry. For each pair of similar triangles, find...Ch. 6.7 - Geometry. For each pair of similar triangles, find...Ch. 6.7 - Geometry. For each pair of similar triangles, find...Ch. 6.7 - Geometry. For each pair of similar triangles, find...Ch. 6.7 - Prob. 45ESCh. 6.7 - Graphing. Find the indicated length.
46. s
Ch. 6.7 - Architecture. Use the following blueprint to find...Ch. 6.7 - Architecture. Use the following blueprint to find...Ch. 6.7 - Architecture. Use the following blueprint to find...Ch. 6.7 - Architecture. Use the following blueprint to find...Ch. 6.7 - Find the indicated length.Ch. 6.7 - Find the indicated length.
52.
Ch. 6.7 - Flight Mechanics. The wing aspect ratio for a bird...Ch. 6.7 - Flight Mechanics. The wing aspect ratio for a bird...Ch. 6.7 - Spending Habits. In the first 8 days of September,...Ch. 6.7 - Burning Calories. The average 140-lb adult burns...Ch. 6.7 - Aha! Photography. Aziza snapped 234 photos over a...Ch. 6.7 - Mileage. The Toyota Prius is a hybrid car that...Ch. 6.7 - 59. Light Bulbs. A sample of 220 compact...Ch. 6.7 - 60. Flash Drives. A sample of 150 flash drives...Ch. 6.7 - Veterinary Science. The amount of water needed by...Ch. 6.7 - 62. Miles Driven. Emmanuel is allowed to drive his...Ch. 6.7 - 63. Environmental Science. To determine the number...Ch. 6.7 - 64. Fox Population. To determine the number of...Ch. 6.7 - Is it correct to assume that two workers will...Ch. 6.7 - If two triangles are exactly the same shape and...Ch. 6.7 - Perform the indicated operation and simplify....Ch. 6.7 - Perform the indicated operation and simplify....Ch. 6.7 - Perform the indicated operation and simplify....Ch. 6.7 - Perform the indicated operation and simplify....Ch. 6.7 - Perform the indicated operation and...Ch. 6.7 - Perform the indicated operation and simplify....Ch. 6.7 - Two steamrollers are paving a parking lot. Working...Ch. 6.7 - Two fuel lines are filling a freighter with oil....Ch. 6.7 - Filling a Bog. The Norwich cranberry bog can be...Ch. 6.7 - 76. Filling a Tub. Gretchen’s hot tub can be...Ch. 6.7 - Car Cleaning. Together, Michelle, Sal, and Kristen...Ch. 6.7 - 78. Grading. Alma can grade a batch of placement...Ch. 6.7 - 79. Refer to Exercise 31. How long will it take...Ch. 6.7 - Refer to Exercise 32. How long will it take Mickie...Ch. 6.7 - 81. Escalators. Together, a 100-cm wide escalator...Ch. 6.7 - 82. Aviation. A Coast Guard plane has enough fuel...Ch. 6.7 - 83. Boating. Shoreline Travel operates a 3-hr...Ch. 6.7 - Travel by Car. Angenita drives to work at 50 mph...Ch. 6.7 - 85. According to the U.S. Census Bureau,...Ch. 6.7 - 86. Home Maintenance. Fuel used in many chain saws...Ch. 6.7 - At what time after 4:00 will the minute hand and...Ch. 6.7 - At what time after 10:30 will the hands of a clock...Ch. 6.7 - Average speed is defined as total distance divided...Ch. 6.7 - Average speed is defined as total distance divided...Ch. 6.7 - Average speed is defined as total distance divided...Ch. 6.7 - Average speed is defined as total distance divided...Ch. 6.7 - Average speed is defined as total distance divided...Ch. 6.7 - Average speed is defined as total distance divided...Ch. 6.7 - 95. Are the equations
and
equivalent? Why or...Ch. 6.7 - Prob. 1QQCh. 6.7 - Divide and, if possible, simplify: 7x+21x4x+35x20....Ch. 6.7 - 3. Add and, if possible, simplify:
.
[6.4]
Ch. 6.7 - Solve: 7x=3x+4. [6.6]Ch. 6.7 - 5. Scot can prepare a tray of appetizers in 75...Ch. 6 - Advertising. In 2014, advertisers worldwide spent...Ch. 6 - Bicycling. The speed of one bicyclist is 2 km/h...Ch. 6 - Prob. 3RVSCh. 6 - Prob. 4RVSCh. 6 - Prob. 5RVSCh. 6 - Prob. 6RVSCh. 6 - Prob. 7RVSCh. 6 - Prob. 8RVSCh. 6 - Prob. 9RVSCh. 6 - Prob. 10RVSCh. 6 - Prob. 1DMCCh. 6 - Prob. 2DMCCh. 6 - Prob. 3DMCCh. 6 - Prob. 4DMCCh. 6 - Prob. 5DMCCh. 6 - Prob. 6DMCCh. 6 - Prob. 1RECh. 6 - Prob. 2RECh. 6 - Prob. 3RECh. 6 - Prob. 4RECh. 6 - Prob. 5RECh. 6 - Prob. 6RECh. 6 - Prob. 7RECh. 6 - Prob. 8RECh. 6 - Prob. 9RECh. 6 - Prob. 10RECh. 6 - Prob. 11RECh. 6 - Prob. 12RECh. 6 - Prob. 13RECh. 6 - Prob. 14RECh. 6 - Prob. 15RECh. 6 - Prob. 16RECh. 6 - Prob. 17RECh. 6 - Prob. 18RECh. 6 - Prob. 19RECh. 6 - Prob. 20RECh. 6 - Prob. 21RECh. 6 - Prob. 22RECh. 6 - Prob. 23RECh. 6 - Prob. 24RECh. 6 - Prob. 25RECh. 6 - Prob. 26RECh. 6 - Prob. 27RECh. 6 - Prob. 28RECh. 6 - Prob. 29RECh. 6 - Prob. 30RECh. 6 - Prob. 31RECh. 6 - Prob. 32RECh. 6 - Prob. 33RECh. 6 - Prob. 34RECh. 6 - Prob. 35RECh. 6 - Prob. 36RECh. 6 - Prob. 37RECh. 6 - Prob. 38RECh. 6 - Prob. 39RECh. 6 - Prob. 40RECh. 6 - Prob. 41RECh. 6 - Prob. 42RECh. 6 - Prob. 43RECh. 6 - Prob. 44RECh. 6 - Prob. 45RECh. 6 - Prob. 46RECh. 6 - Prob. 47RECh. 6 - Prob. 48RECh. 6 - Prob. 49RECh. 6 - Prob. 50RECh. 6 - Prob. 51RECh. 6 - Prob. 52RECh. 6 - Prob. 53RECh. 6 - Prob. 54RECh. 6 - Prob. 55RECh. 6 - Prob. 1TCh. 6 - Prob. 2TCh. 6 - Prob. 3TCh. 6 - Prob. 4TCh. 6 - Prob. 5TCh. 6 - Prob. 6TCh. 6 - Prob. 7TCh. 6 - Prob. 8TCh. 6 - Prob. 9TCh. 6 - Prob. 10TCh. 6 - Prob. 11TCh. 6 - Prob. 12TCh. 6 - Prob. 13TCh. 6 - Prob. 14TCh. 6 - Prob. 15TCh. 6 - Prob. 16TCh. 6 - Prob. 17TCh. 6 - Prob. 18TCh. 6 - Prob. 19TCh. 6 - Prob. 20TCh. 6 - Prob. 21TCh. 6 - Prob. 22TCh. 6 - Prob. 23TCh. 6 - Prob. 24TCh. 6 - Prob. 25TCh. 6 - 1. Use the commutative law of multiplication to...Ch. 6 - Evaluate 2x2 for x=5. [1.8]Ch. 6 - 3. Evaluate for. [1.8]
Ch. 6 - 4. Simplify: . [1.8]
Ch. 6 - Solve.
5. [2.2]
Ch. 6 - Solve. x2+11x+10=0 [5.7]Ch. 6 - Solve.
7. [5.7]
Ch. 6 - Solve.
8. [2.2]
Ch. 6 - Solve. 4x+x=5 [6.6]Ch. 6 - Solve.
10. [6.6]
Ch. 6 - Solve. 2x2+7x=4 [5.7]Ch. 6 - Solve. 4(x+7)5(x3) [2.6]Ch. 6 - Solve. 2x29+5x3=3x+3 [6.6]Ch. 6 - Solve.
14. Solve [2.3]
Ch. 6 - Graph. [3.2], [3.3], [3.6]
15.
Ch. 6 - Graph. [3.2], [3.3], [3.6]
16.
Ch. 6 - Graph. [3.2], [3.3], [3.6]
17.
Ch. 6 - Graph. [3.2], [3.3], [3.6] y=6Ch. 6 - 19. Find the slope of the line containing the...Ch. 6 - 20. Find the slope and the y-intercept of the line...Ch. 6 - Write the slope-intercept equation of the line...Ch. 6 - Simplify.
22. [4.2]
Ch. 6 - Simplify. 2(2a2b7)2 [4.1]Ch. 6 - Simplify. Subtract: (8y2y+2)(y36y2+y5) [4.4]Ch. 6 - Multiply. (2x21)(x3+x3) [4.5]Ch. 6 - Multiply.
26. [4.6]
Ch. 6 - Prob. 27CRCh. 6 - Multiply. (2x3+1)(2x31) [4.6]Ch. 6 - Factor.
29.
Ch. 6 - Factor. 16x281[5.4]Ch. 6 - Factor.
31.
Ch. 6 - Factor. 10t3+10[5.5]Ch. 6 - Factor.
33.
Ch. 6 - Factor. 25t2+40t+16[5.4]Ch. 6 - Factor. x2y2xy20[5.2]Ch. 6 - Factor. x4+2x33x6[5.1]Ch. 6 - Simplify. 4t20t216t4t5 [6.2]Ch. 6 - Simplify. x21x2x2x1x2 [6.2]Ch. 6 - Simplify. 5aba2b2+a+bab [6.4]Ch. 6 - Simplify. x+24xx+3x4 [6.4]Ch. 6 - Simplify.
41. [6.5]
Ch. 6 - Simplify. Divide: (15x412x3+6x2+2x+18)(x+3) [4.8]Ch. 6 - Solve. For each order, alibris.com charges a...Ch. 6 - Solve. Nikki is laying out two square flower...Ch. 6 - Solve.
45. It takes Wes 25 min to file a week’s...Ch. 6 - Solve.
46. Rachel burned 450 calories in a...Ch. 6 - Prob. 47CRCh. 6 - 48. Solve:
Ch. 6 - Solve: 2x33x+34x27x+12=0[6.6]
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