To determine To compute: The value of the expression y y 2 − y − 20 − 2 y + 4 . Explanation Result used: If the denominators of a rational expression differ, we must find equivalent rational expressions that have a common denominator. To find the least common denominator of rational expressions, factor each denominator and form the product that uses each factor the greatest number of times it occurs in any factorization. Calculation: The given rational expression is, y y 2 − y − 20 − 2 y + 4 . Factorize the denominator of the rational expression y y 2 − y − 20 − 2 y + 4 as follows. y y 2 − y − 20 − 2 y + 4 = y y 2 + 4 y − 5 y − 20 − 2 y + 4 = y y ( y + 4 ) − 5 ( y + 4 ) − 2 y + 4 = y ( y + 4 ) ( y − 5 ) − 2 y + 4 By the above result, the least common denominator of the rational expression y y 2 − y − 20 − 2 y + 4 is ( y + 4 ) ( y − 5 ) . Simplify the expression y ( y + 4 ) ( y − 5 ) − 2 y + 4 as follows

Algebra and Trigonometry: Graphs and Models (6th Edition)

6th Edition

ISBN: 9780134179049

Author: Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen, Judith A. Penna

Publisher: PEARSON

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Chapter J.23, Problem 5E

To determine

To compute: The value of the expression yy2−y−20−2y+4.

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Chapter J.23, Problem 4E

Chapter J.23, Problem 6E

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Chapter J Solutions

Algebra and Trigonometry: Graphs and Models (6th Edition)

Ch. J.1 - In Exercises 1-6, consider the numbers 6, −2.45,...Ch. J.1 - In Exercises 1–6, consider the numbers 6, −2.45,...Ch. J.1 - In Exercises 1–6, consider the numbers 6, −2.45,...Ch. J.1 - In exercises 1–6, consider the numbers 6, −2.45,...Ch. J.1 - Prob. 5E Ch. J.1 - In Exercises 1–6, consider the numbers 6, −2.45,...Ch. J.2 - Name the property illustrated by the sentence. 1....Ch. J.2 - Prob. 2E Ch. J.2 - Prob. 3E Ch. J.2 - Prob. 4E

Ch. J.2 - Prob. 5E Ch. J.2 - Prob. 6E Ch. J.2 - Prob. 7E Ch. J.2 - Prob. 8E Ch. J.2 - Prob. 9E Ch. J.2 - Prob. 10E Ch. J.3 - Classify the inequality as true or false. 1. 9 <...Ch. J.3 - Prob. 2E Ch. J.3 - Prob. 3E Ch. J.3 - Prob. 4E Ch. J.3 - Prob. 5E Ch. J.3 - Prob. 6E Ch. J.4 - Simplify. 1. |−98| Ch. J.4 - Prob. 2E Ch. J.4 - Prob. 3E Ch. J.4 - Prob. 4E Ch. J.4 - Prob. 5E Ch. J.4 - Prob. 6E Ch. J.4 - Prob. 7E Ch. J.4 - Prob. 8E Ch. J.5 - Compute and simplify. 1. 8 − (−11) Ch. J.5 - Prob. 2E Ch. J.5 - Prob. 3E Ch. J.5 - Prob. 4E Ch. J.5 - Prob. 5E Ch. J.5 - Prob. 6E Ch. J.5 - Prob. 7E Ch. J.5 - Prob. 8E Ch. J.5 - Prob. 9E Ch. J.5 - Prob. 10E Ch. J.5 - Prob. 11E Ch. J.5 - Prob. 12E Ch. J.5 - Prob. 13E Ch. J.5 - Prob. 14E Ch. J.5 - Prob. 15E Ch. J.6 - Write interval notation. 1. {x| −5 ≤ x ≤ 5} Ch. J.6 - Prob. 2E Ch. J.6 - Prob. 3E Ch. J.6 - Prob. 4E Ch. J.6 - Prob. 5E Ch. J.6 - Prob. 6E Ch. J.6 - Prob. 7E Ch. J.6 - Prob. 8E Ch. J.6 - Prob. 9E Ch. J.6 - Prob. 10E Ch. J.7 - Prob. 1E Ch. J.7 - Prob. 2E Ch. J.7 - Prob. 3E Ch. J.7 - Prob. 4E Ch. J.7 - Prob. 5E Ch. J.7 - Prob. 6E Ch. J.7 - Prob. 7E Ch. J.7 - Prob. 8E Ch. J.7 - Prob. 9E Ch. J.7 - Prob. 10E Ch. J.8 - Prob. 1E Ch. J.8 - Prob. 2E Ch. J.8 - Prob. 3E Ch. J.8 - Prob. 4E Ch. J.8 - Prob. 5E Ch. J.8 - Prob. 6E Ch. J.8 - Prob. 7E Ch. J.8 - Prob. 8E Ch. J.9 - Calculate. 1. 3 + 18 ÷ 6 − 3 Ch. J.9 - Calculate. 2. 5 ∙ 3 + 8 ∙ 32 + 4(6 − 2) Ch. J.9 - Calculate. 3. 5(3 – 8 ∙ 32 + 4 ∙ 6 − 2) Ch. J.9 - Calculate. 4. 16 ÷ 4 ∙ 4 ÷ 2 ∙ 256 Ch. J.9 - Calculate. 5. 26 ∙2−3 ÷ 210 ÷ 2−8 Ch. J.9 - Prob. 6E Ch. J.9 - Prob. 7E Ch. J.9 - Prob. 8E Ch. J.10 - Determine the degree of the polynomial. 1. 5 − x6 Ch. J.10 - Prob. 2E Ch. J.10 - Prob. 3E Ch. J.10 - Prob. 4E Ch. J.10 - Prob. 5E Ch. J.10 - Prob. 6E Ch. J.10 - Prob. 7E Ch. J.10 - Prob. 8E Ch. J.11 - Prob. 1E Ch. J.11 - Prob. 2E Ch. J.11 - Prob. 3E Ch. J.11 - Prob. 4E Ch. J.11 - Prob. 5E Ch. J.12 - Prob. 1E Ch. J.12 - Prob. 2E Ch. J.12 - Prob. 3E Ch. J.12 - Prob. 4E Ch. J.12 - Prob. 5E Ch. J.12 - Prob. 6E Ch. J.13 - Prob. 1E Ch. J.13 - Prob. 2E Ch. J.13 - Prob. 3E Ch. J.13 - Prob. 4E Ch. J.13 - Prob. 5E Ch. J.13 - Prob. 6E Ch. J.14 - Prob. 1E Ch. J.14 - Prob. 2E Ch. J.14 - Prob. 3E Ch. J.14 - Prob. 4E Ch. J.14 - Prob. 5E Ch. J.14 - Prob. 6E Ch. J.14 - Factor the trinomial. 7. 2n2 − 20n − 48 Ch. J.14 - Prob. 8E Ch. J.14 - Prob. 9E Ch. J.14 - Prob. 10E Ch. J.14 - Prob. 11E Ch. J.14 - Prob. 12E Ch. J.15 - Prob. 1E Ch. J.15 - Prob. 2E Ch. J.15 - Prob. 3E Ch. J.16 - Factor the difference of squares. 1. z2 − 81 Ch. J.16 - Prob. 2E Ch. J.16 - Prob. 3E Ch. J.16 - Prob. 4E Ch. J.16 - Prob. 5E Ch. J.16 - Prob. 6E Ch. J.16 - Prob. 7E Ch. J.16 - Factor the sum or the difference of cubes. 8. m3 −...Ch. J.16 - Factor the sum or the difference of cubes. 9. 3a5...Ch. J.16 - Factor the sum or the difference of cubes. 10. t6...Ch. J.17 - Prob. 1E Ch. J.17 - Prob. 2E Ch. J.17 - Prob. 3E Ch. J.17 - Prob. 4E Ch. J.17 - Prob. 5E Ch. J.17 - Prob. 6E Ch. J.17 - Prob. 7E Ch. J.17 - Prob. 8E Ch. J.18 - Prob. 1E Ch. J.18 - Prob. 2E Ch. J.18 - Prob. 3E Ch. J.18 - Prob. 4E Ch. J.18 - Prob. 5E Ch. J.18 - Prob. 6E Ch. J.19 - Prob. 1E Ch. J.19 - Prob. 2E Ch. J.19 - Prob. 3E Ch. J.19 - Prob. 4E Ch. J.19 - Prob. 5E Ch. J.19 - Prob. 6E Ch. J.19 - Prob. 7E Ch. J.19 - Prob. 8E Ch. J.20 - Prob. 1E Ch. J.20 - Prob. 2E Ch. J.20 - Prob. 3E Ch. J.20 - Prob. 4E Ch. J.20 - Prob. 5E Ch. J.20 - Prob. 6E Ch. J.21 - Find the domain of the rational expression. 1. Ch. J.21 - Prob. 2E Ch. J.21 - Prob. 3E Ch. J.21 - Prob. 4E Ch. J.21 - Simplify. 5. Ch. J.21 - Simplify. 6. Ch. J.22 - Multiply or divide and, if possible, simplify. 1....Ch. J.22 - Prob. 2E Ch. J.22 - Prob. 3E Ch. J.22 - Prob. 4E Ch. J.22 - Multiply or divide and, if possible, simplify. 5....Ch. J.22 - Multiply or divide and, if possible, simplify. 6....Ch. J.23 - Add or subtract and, if possible, simplify. 1. Ch. J.23 - Prob. 2E Ch. J.23 - Prob. 3E Ch. J.23 - Prob. 4E Ch. J.23 - Add or subtract and, if possible, simplify. 5. Ch. J.23 - Add or subtract and, if possible, simplify. 6. Ch. J.24 - Simplify. 1. Ch. J.24 - Prob. 2E Ch. J.24 - Simplify. 3. Ch. J.24 - Prob. 4E Ch. J.24 - Simplify. 5. Note: b − a = −1(a − b) Ch. J.25 - Simplify. Assume that no radicands were formed by...Ch. J.25 - Prob. 2E Ch. J.25 - Prob. 3E Ch. J.25 - Prob. 4E Ch. J.25 - Prob. 5E Ch. J.25 - Prob. 6E Ch. J.25 - Prob. 7E Ch. J.25 - Simplify. Assume that no radicands were formed by...Ch. J.25 - Simplify. Assume that no radicands were formed by...Ch. J.25 - Prob. 10E Ch. J.25 - Prob. 11E Ch. J.25 - Prob. 12E Ch. J.25 - Simplify. Assume that no radicands were formed by...Ch. J.25 - Prob. 14E Ch. J.25 - Prob. 15E Ch. J.25 - Prob. 16E Ch. J.25 - Simplify. Assume that no radicands were formed by...Ch. J.25 - Simplify. Assume that no radicands were formed by...Ch. J.25 - Prob. 19E Ch. J.25 - Prob. 20E Ch. J.26 - Rationalize the denominator. 1. Ch. J.26 - Rationalize the denominator. 2. Ch. J.26 - Prob. 3E Ch. J.26 - Rationalize the denominator. 4. Ch. J.26 - Prob. 5E Ch. J.26 - Prob. 6E Ch. J.26 - Prob. 7E Ch. J.26 - Rationalize the denominator. 8. Ch. J.27 - Convert to radical notation and, if possible,...Ch. J.27 - Prob. 2E Ch. J.27 - Convert to radical notation and, if possible,...Ch. J.27 - Prob. 4E Ch. J.27 - Convert to radical notation and, if possible,...Ch. J.27 - Prob. 6E Ch. J.27 - Prob. 7E Ch. J.27 - Prob. 8E Ch. J.27 - Prob. 9E Ch. J.27 - Prob. 10E Ch. J.27 - Simplify and then, if appropriate, write radical...Ch. J.28 - Prob. 1E Ch. J.28 - Prob. 2E Ch. J.28 - Prob. 3E Ch. J.28 - Prob. 4E Ch. J.28 - Prob. 5E

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