College Algebra: Graphs and Models (6th Edition)
6th Edition
ISBN: 9780134179032
Author: Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen, Judith A. Penna
Publisher: PEARSON
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Chapter J.2, Problem 10E
To determine
To illustrate: The property used in
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A homeowner is building a flower bed in the backyard. He plans to put a layer of fertilizer over the entire flower bed.
The diagram shows the flower bed and its dimensions in feet.
4w² + 3w –1
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Which expression represents the area in square feet that the homeowner will cover with fertilizer?
A 20w + 23w² + w - 2
1-18
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Use the image below to answer the question
1. Find the value of the variable(s) in each figure. Explain your reasoning.
The figure shows four purple rectangles that fit together to
form a large square.
-A + B-
B
-A-
A + B
a. Express the area of the large square in terms of one of its
sides, A + B.
b. Write an expression for the area of each of the four
rectangles that form the large square.
c. Use the sum of the areas from part (b) to write a second
expression for the area of the large square.
d. Set the expression from part (c) equal to the expression
from part (a). What factoring technique have you
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Chapter J Solutions
College Algebra: Graphs and Models (6th Edition)
Ch. J.1 - In Exercises 1-6, consider the numbers 23, 6, 3,...Ch. J.1 - In Exercises 16, consider the numbers 23, 6, 3,...Ch. J.1 - In Exercises 16, consider the numbers 23, 6, 3,...Ch. J.1 - In exercises 16, consider the numbers 23, 6, 3,...Ch. J.1 - In Exercises 16, consider the numbers 23, 6, 3,...Ch. J.1 - In Exercises 16, consider the numbers 23, 6, 3,...Ch. J.2 - Name the property illustrated by the sentence. 1....Ch. J.2 - Name the property illustrated by the sentence. 2....Ch. J.2 - Name the property illustrated by the sentence. 3....Ch. J.2 - Prob. 4E
Ch. J.2 - Prob. 5ECh. J.2 - Prob. 6ECh. J.2 - Prob. 7ECh. J.2 - Prob. 8ECh. J.2 - Prob. 9ECh. J.2 - Prob. 10ECh. J.3 - Classify the inequality as true or false. 1. 9 9Ch. J.3 - Prob. 2ECh. J.3 - Classify the inequality as true or false. 3. 265Ch. J.3 - Prob. 4ECh. J.3 - Prob. 5ECh. J.3 - Prob. 6ECh. J.4 - Simplify. 1. |98|Ch. J.4 - Prob. 2ECh. J.4 - Prob. 3ECh. J.4 - Prob. 4ECh. J.4 - Prob. 5ECh. J.4 - Prob. 6ECh. J.4 - Prob. 7ECh. J.4 - Prob. 8ECh. J.5 - Compute and simplify. 1. 8 (11)Ch. J.5 - Compute and simplify. 2. 310(13)Ch. J.5 - Prob. 3ECh. J.5 - Prob. 4ECh. J.5 - Prob. 5ECh. J.5 - Prob. 6ECh. J.5 - Prob. 7ECh. J.5 - Prob. 8ECh. J.5 - Prob. 9ECh. J.5 - Prob. 10ECh. J.5 - Prob. 11ECh. J.5 - Compute and simplify. 12. 1223Ch. J.5 - Prob. 13ECh. J.5 - Prob. 14ECh. J.5 - Prob. 15ECh. J.6 - Write interval notation. 1. {x| 5 x 5}Ch. J.6 - Prob. 2ECh. J.6 - Write interval notation. 3. {x | x 2}Ch. J.6 - Write interval notation. 4. {x | x 3.8}Ch. J.6 - Prob. 5ECh. J.6 - Prob. 6ECh. J.6 - Prob. 7ECh. J.6 - Prob. 8ECh. J.6 - Prob. 9ECh. J.6 - Write interval notation for the graph. 10.Ch. J.7 - Simplify. 1. 36Ch. J.7 - Prob. 2ECh. J.7 - Prob. 3ECh. J.7 - Prob. 4ECh. J.7 - Prob. 5ECh. J.7 - Prob. 6ECh. J.7 - Prob. 7ECh. J.7 - Prob. 8ECh. J.7 - Prob. 9ECh. J.7 - Prob. 10ECh. J.8 - Convert to scientific notation. 1. 18,500,000Ch. J.8 - Prob. 2ECh. J.8 - Prob. 3ECh. J.8 - Prob. 4ECh. J.8 - Convert to decimal notation. 5.4.3 108Ch. J.8 - Prob. 6ECh. J.8 - Convert to decimal notation. 7.6.203 1011Ch. J.8 - Prob. 8ECh. J.9 - Calculate. 1. 3 + 18 6 3Ch. 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 256Ch. J.9 - Calculate. 5. 26 23 210 28Ch. J.9 - Calculate. 6. 4(86)243+2831+190Ch. J.9 - Calculate. 7. 64 [(4) (2)]Ch. J.9 - Prob. 8ECh. J.10 - Determine the degree of the polynomial. 1. 5 x6Ch. J.10 - Prob. 2ECh. J.10 - Prob. 3ECh. J.10 - Prob. 4ECh. J.10 - Prob. 5ECh. J.10 - Prob. 6ECh. J.10 - Prob. 7ECh. J.10 - Prob. 8ECh. J.11 - Add or subtract. 1. (8y 1) (3 y)Ch. J.11 - Add or subtract. 2. (3x2 2x x3 + 2) (5x2 8x ...Ch. J.11 - Prob. 3ECh. J.11 - Prob. 4ECh. J.11 - Prob. 5ECh. J.12 - Prob. 1ECh. J.12 - Prob. 2ECh. J.12 - Prob. 3ECh. J.12 - Prob. 4ECh. J.12 - Prob. 5ECh. J.12 - Prob. 6ECh. J.13 - Multiply. 1. (x + 3)2Ch. J.13 - Multiply. 2. (5x 3)2Ch. J.13 - Multiply. 3. (2x + 3y)2Ch. J.13 - Prob. 4ECh. J.13 - Multiply. 5. (n + 6) (n 6)Ch. J.13 - Prob. 6ECh. J.14 - Factor out the largest common factor. 1. 3x + 18Ch. J.14 - Prob. 2ECh. J.14 - Prob. 3ECh. J.14 - Prob. 4ECh. J.14 - Prob. 5ECh. J.14 - Prob. 6ECh. J.14 - Prob. 7ECh. J.14 - Prob. 8ECh. J.14 - Prob. 9ECh. J.14 - Prob. 10ECh. J.14 - Prob. 11ECh. J.14 - Prob. 12ECh. J.15 - Factor. 1. 8x2 6x 9Ch. J.15 - Factor. 2. 10t2 + 4t 6Ch. J.15 - Factor. 3. 18a2 51a + 15Ch. J.16 - Factor the difference of squares. 1. z2 81Ch. J.16 - Factor the difference of squares. 2. 16x2 9Ch. J.16 - Factor the difference of squares. 3. 7pq4 7py4Ch. J.16 - Factor the square of a binomial. 4. x2 + 12x + 36Ch. J.16 - Prob. 5ECh. J.16 - Factor the square of a binomial. 6. a3 + 24a2 +...Ch. J.16 - Factor the sum or the difference of cubes. 7. x3 +...Ch. J.16 - Factor the sum or the difference of cubes. 8. m3 ...Ch. J.16 - Prob. 9ECh. J.16 - Prob. 10ECh. J.17 - Prob. 1ECh. J.17 - Prob. 2ECh. J.17 - Prob. 3ECh. J.17 - Prob. 4ECh. J.17 - Solve. 5. 7y 1 = 23 5yCh. J.17 - Prob. 6ECh. J.17 - Prob. 7ECh. J.17 - Solve. 8. 5y 4 (2y 10) = 25Ch. J.18 - Prob. 1ECh. J.18 - Prob. 2ECh. J.18 - Prob. 3ECh. J.18 - Prob. 4ECh. J.18 - Prob. 5ECh. J.18 - Prob. 6ECh. J.19 - Prob. 1ECh. J.19 - Prob. 2ECh. J.19 - Prob. 3ECh. J.19 - Prob. 4ECh. J.19 - Prob. 5ECh. J.19 - Prob. 6ECh. J.19 - Prob. 7ECh. J.19 - Prob. 8ECh. J.20 - Prob. 1ECh. J.20 - Prob. 2ECh. J.20 - Prob. 3ECh. J.20 - Prob. 4ECh. J.20 - Prob. 5ECh. J.20 - Prob. 6ECh. J.21 - Prob. 1ECh. J.21 - Prob. 2ECh. J.21 - Prob. 3ECh. J.21 - Prob. 4ECh. J.21 - Prob. 5ECh. J.21 - Prob. 6ECh. J.22 - Prob. 1ECh. J.22 - Prob. 2ECh. J.22 - Prob. 3ECh. J.22 - Prob. 4ECh. J.22 - Prob. 5ECh. J.22 - Prob. 6ECh. J.23 - Prob. 1ECh. J.23 - Prob. 2ECh. J.23 - Prob. 3ECh. J.23 - Prob. 4ECh. J.23 - Prob. 5ECh. J.23 - Prob. 6ECh. J.24 - Simplify. 1. xyyx1y+1xCh. J.24 - Prob. 2ECh. J.24 - Prob. 3ECh. J.24 - Prob. 4ECh. J.24 - Simplify. 5. abba1a1b Note: b a = 1(a b)Ch. J.25 - Prob. 1ECh. J.25 - Prob. 2ECh. J.25 - Prob. 3ECh. J.25 - Prob. 4ECh. J.25 - Prob. 5ECh. J.25 - Prob. 6ECh. J.25 - Prob. 7ECh. J.25 - Prob. 8ECh. J.25 - Prob. 9ECh. J.25 - Prob. 10ECh. J.25 - Prob. 11ECh. J.25 - Prob. 12ECh. J.25 - Prob. 13ECh. J.25 - Prob. 14ECh. J.25 - Prob. 15ECh. J.25 - Prob. 16ECh. J.25 - Prob. 17ECh. J.25 - Prob. 18ECh. J.25 - Prob. 19ECh. J.25 - Prob. 20ECh. J.26 - Prob. 1ECh. J.26 - Prob. 2ECh. J.26 - Prob. 3ECh. J.26 - Prob. 4ECh. J.26 - Prob. 5ECh. J.26 - Prob. 6ECh. J.26 - Prob. 7ECh. J.26 - Prob. 8ECh. J.27 - Prob. 1ECh. J.27 - Prob. 2ECh. J.27 - Prob. 3ECh. J.27 - Prob. 4ECh. J.27 - Prob. 5ECh. J.27 - Prob. 6ECh. J.27 - Prob. 7ECh. J.27 - Convert to exponential notation. 8. x5Ch. J.27 - Prob. 9ECh. J.27 - Prob. 10ECh. J.27 - Prob. 11ECh. J.28 - Find the length of the third side of each right...Ch. J.28 - Find the length of the third side of each right...Ch. J.28 - Find the length of the third side of each right...Ch. J.28 - Find the length of the third side of each right...Ch. J.28 - Find the length of the third side of each right...
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