Explanation Procedure used: Dividing Rational Expression: “Step:1 Multiply the dividend by the reciprocal of the divisor. That is, a b ÷ c d = a b ⋅ c d , where b ≠ 0 , c ≠ 0 and d ≠ 0 . Step 2: Factor the polynomials in each numerator and denominator. Step 3: Multiply. Step 4: Divide out common factors in the numerator and denominator. Leave the remaining polynomial in factored form.” Calculation: Consider the fraction division expression x + 5 3 ÷ 30 x 4 x + 20 . Here, the dividend is x + 5 3 and the divisor is 30 x 4 x + 20 . The reciprocal of the divisor is 1 30 x 4 x + 20 , that is, 4 x + 20 30 x . Now, the given division expression can be rewritten as x + 5 3 ⋅ 4 x + 20 30 x Factorize the polynomials in the numerator and denominator, if possible. x + 5 3 ⋅ 4 x + 20 30 x = x + 5 3 ⋅ 4 ( x + 5 ) 2 ⋅ 15 x = x + 5 3

4th Edition

ISBN: 9780134556079

Author: Sullivan, Michael, III, Struve, Katherine R., Mazzarella, Janet.

Publisher: Pearson,

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Question

Chapter 7.2, Problem 42E

To determine

To simplify: The expression x+53÷30x4x+20.

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Chapter 7.2, Problem 41E

Chapter 7.2, Problem 43E

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(20 p) 1. Find a particular solution satisfying the given initial conditions for the third-order homogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y(3)+2y"-y-2y = 0; y(0) = 1, y'(0) = 2, y"(0) = 0; y₁ = e*, y2 = e¯x, y3 = e−2x (20 p) 2. Find a particular solution satisfying the given initial conditions for the second-order nonhomogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y"-2y-3y = 6; y(0) = 3, y'(0) = 11 yc = c₁ex + c2e³x; yp = −2 (60 p) 3. Find the general, and if possible, particular solutions of the linear systems of differential equations given below using the eigenvalue-eigenvector method. (See Section 7.3 in your textbook if you need a review of the subject.) = a) x 4x1 + x2, x2 = 6x1-x2 b) x=6x17x2, x2 = x1-2x2 c) x = 9x1+5x2, x2 = −6x1-2x2; x1(0) = 1, x2(0)=0

4. In a study of how students give directions, forty volunteers were given the task ofexplaining to another person how to reach a destination. Researchers measured thefollowing five aspects of the subjects’ direction-giving behavior:• whether a map was available or if directions were given from memory without a map,• the gender of the direction-giver,• the distances given as part of the directions,• the number of times directions such as “north” or “left” were used,• the frequency of errors in directions.a) Identify each of the variables in this study, and whether each is quantitative orqualitative. For each quantitative variable, state whether it is discrete or continuousb) Was this an observational study or an experimental study? Explain your answer

Find the perimeter and area

Chapter 7 Solutions

Elementary & Intermediate Algebra

Ch. 7.1 - The quotient of two polynomials is called a...Ch. 7.1 - Prob. 2E Ch. 7.1 - Prob. 3E Ch. 7.1 - Prob. 4E Ch. 7.1 - Prob. 5E Ch. 7.1 - Prob. 6E Ch. 7.1 - Prob. 7E Ch. 7.1 - Prob. 8E Ch. 7.1 - Prob. 9E Ch. 7.1 - Prob. 10E

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Prob. 68E Ch. 7.4 - Prob. 69E Ch. 7.4 - Prob. 70E Ch. 7.4 - Prob. 71E Ch. 7.4 - Prob. 72E Ch. 7.5 - The least common denominator of 18 and 518 is...Ch. 7.5 - Prob. 2E Ch. 7.5 - Prob. 3E Ch. 7.5 - The first step in adding expressions with unlike...Ch. 7.5 - Prob. 5E Ch. 7.5 - Prob. 6E Ch. 7.5 - Prob. 7E Ch. 7.5 - Prob. 8E Ch. 7.5 - Prob. 9E Ch. 7.5 - Prob. 10E Ch. 7.5 - Prob. 11E Ch. 7.5 - Prob. 12E Ch. 7.5 - Prob. 13E Ch. 7.5 - Prob. 14E Ch. 7.5 - Prob. 15E Ch. 7.5 - Prob. 16E Ch. 7.5 - Prob. 17E Ch. 7.5 - Prob. 18E Ch. 7.5 - Prob. 19E Ch. 7.5 - Prob. 20E Ch. 7.5 - Prob. 21E Ch. 7.5 - Prob. 22E Ch. 7.5 - Prob. 23E Ch. 7.5 - Prob. 24E Ch. 7.5 - Prob. 25E Ch. 7.5 - Prob. 26E Ch. 7.5 - Prob. 27E Ch. 7.5 - Prob. 28E Ch. 7.5 - Prob. 29E Ch. 7.5 - Prob. 30E Ch. 7.5 - Prob. 31E Ch. 7.5 - Prob. 32E Ch. 7.5 - Prob. 33E Ch. 7.5 - Prob. 34E Ch. 7.5 - Prob. 35E Ch. 7.5 - Prob. 36E Ch. 7.5 - Prob. 37E Ch. 7.5 - Prob. 38E Ch. 7.5 - Prob. 39E Ch. 7.5 - Prob. 40E Ch. 7.5 - Prob. 41E Ch. 7.5 - Prob. 42E Ch. 7.5 - 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Prob. 9E Ch. 7.8 - Prob. 10E Ch. 7.8 - Prob. 11E Ch. 7.8 - Prob. 12E Ch. 7.8 - Prob. 13E Ch. 7.8 - To prepare for a marathon run. Sue ran 18 miles...Ch. 7.8 - Prob. 15E Ch. 7.8 - Prob. 16E Ch. 7.8 - Prob. 17E Ch. 7.8 - Prob. 18E Ch. 7.8 - Prob. 19E Ch. 7.8 - Prob. 20E Ch. 7.8 - Prob. 21E Ch. 7.8 - Prob. 22E Ch. 7.8 - In Problems 15-34, solve the proportion. See...Ch. 7.8 - Prob. 24E Ch. 7.8 - Prob. 25E Ch. 7.8 - Prob. 26E Ch. 7.8 - Prob. 27E Ch. 7.8 - Prob. 28E Ch. 7.8 - Prob. 29E Ch. 7.8 - Prob. 30E Ch. 7.8 - Prob. 31E Ch. 7.8 - Prob. 32E Ch. 7.8 - Prob. 33E Ch. 7.8 - Prob. 34E Ch. 7.8 - Prob. 35E Ch. 7.8 - Prob. 36E Ch. 7.8 - Prob. 37E Ch. 7.8 - Prob. 38E Ch. 7.8 - Prob. 39E Ch. 7.8 - Prob. 40E Ch. 7.8 - In Problems 41-44, write an algebraic expression...Ch. 7.8 - Prob. 42E Ch. 7.8 - Prob. 43E Ch. 7.8 - Prob. 44E Ch. 7.8 - Prob. 45E Ch. 7.8 - Prob. 46E Ch. 7.8 - Prob. 47E Ch. 7.8 - Prob. 48E Ch. 7.8 - Prob. 49E Ch. 7.8 - Prob. 50E Ch. 7.8 - Prob. 51E Ch. 7.8 - Prob. 52E Ch. 7.8 - Prob. 53E Ch. 7.8 - Prob. 54E Ch. 7.8 - Prob. 55E Ch. 7.8 - Prob. 56E Ch. 7.8 - Prob. 57E Ch. 7.8 - Prob. 58E Ch. 7.8 - Prob. 59E Ch. 7.8 - Prob. 60E Ch. 7.8 - Prob. 61E Ch. 7.8 - Prob. 62E Ch. 7.8 - Prob. 63E Ch. 7.8 - Prob. 64E Ch. 7.8 - Prob. 65E Ch. 7.8 - Prob. 66E Ch. 7.8 - Prob. 67E Ch. 7.8 - Prob. 68E Ch. 7.8 - Prob. 69E Ch. 7.8 - Prob. 70E Ch. 7.8 - Prob. 71E Ch. 7.8 - Prob. 72E Ch. 7.8 - Prob. 73E Ch. 7.8 - Prob. 74E Ch. 7.8 - Prob. 75E Ch. 7.8 - Prob. 76E Ch. 7.8 - Prob. 77E Ch. 7.8 - Prob. 78E Ch. 7.8 - Prob. 79E Ch. 7.8 - Prob. 80E Ch. 7.8 - Prob. 81E Ch. 7.8 - Prob. 82E Ch. 7.8 - Prob. 83E Ch. 7.8 - Prob. 84E Ch. 7.8 - Prob. 85E Ch. 7.8 - Prob. 86E Ch. 7.8 - Prob. 87E Ch. 7.8 - Prob. 88E Ch. 7.8 - A student reads the following sentence from a word...Ch. 7.8 - When modeling work problems, we assume that...Ch. 7.8 - Prob. 91E Ch. 7.8 - Explain why the following proportions all yield...Ch. 7 - Evaluate a3b3a+b when a = 2 and b = 3.Ch. 7 - Prob. 2PCT Ch. 7 - Prob. 3PCT Ch. 7 - Prob. 4PCT Ch. 7 - Prob. 5PCT Ch. 7 - Prob. 6PCT Ch. 7 - Prob. 7PCT Ch. 7 - Prob. 8PCT Ch. 7 - Prob. 9PCT Ch. 7 - Prob. 10PCT Ch. 7 - Prob. 11PCT Ch. 7 - Prob. 12PCT Ch. 7 - Prob. 13PCT Ch. 7 - Prob. 14PCT Ch. 7 - Prob. 15PCT Ch. 7 - Prob. 1RE Ch. 7 - Prob. 2RE Ch. 7 - Prob. 3RE Ch. 7 - Prob. 4RE Ch. 7 - Prob. 5RE Ch. 7 - Prob. 6RE Ch. 7 - Prob. 7RE Ch. 7 - Prob. 8RE Ch. 7 - Prob. 9RE Ch. 7 - Prob. 10RE Ch. 7 - Prob. 11RE Ch. 7 - Prob. 12RE Ch. 7 - Prob. 13RE Ch. 7 - Prob. 14RE Ch. 7 - Prob. 15RE Ch. 7 - Prob. 16RE Ch. 7 - Prob. 17RE Ch. 7 - Prob. 18RE Ch. 7 - Prob. 19RE Ch. 7 - Prob. 20RE Ch. 7 - Prob. 21RE Ch. 7 - Prob. 22RE Ch. 7 - Prob. 23RE Ch. 7 - Prob. 24RE Ch. 7 - Prob. 25RE Ch. 7 - Prob. 26RE Ch. 7 - Prob. 27RE Ch. 7 - Prob. 28RE Ch. 7 - Prob. 29RE Ch. 7 - Prob. 30RE Ch. 7 - Prob. 31RE Ch. 7 - Prob. 32RE Ch. 7 - Prob. 33RE Ch. 7 - Prob. 34RE Ch. 7 - Prob. 35RE Ch. 7 - Prob. 36RE Ch. 7 - Prob. 37RE Ch. 7 - Prob. 38RE Ch. 7 - Prob. 39RE Ch. 7 - Prob. 40RE Ch. 7 - Prob. 41RE Ch. 7 - Prob. 42RE Ch. 7 - Prob. 43RE Ch. 7 - Prob. 44RE Ch. 7 - Prob. 45RE Ch. 7 - Prob. 46RE Ch. 7 - Prob. 47RE Ch. 7 - Prob. 48RE Ch. 7 - Prob. 49RE Ch. 7 - Prob. 50RE Ch. 7 - Prob. 51RE Ch. 7 - Prob. 52RE Ch. 7 - Prob. 53RE Ch. 7 - Prob. 54RE Ch. 7 - Prob. 55RE Ch. 7 - Prob. 56RE Ch. 7 - Prob. 57RE Ch. 7 - Prob. 58RE Ch. 7 - Prob. 59RE Ch. 7 - In Problems 5972, perform the indicated...Ch. 7 - Prob. 61RE Ch. 7 - Prob. 62RE Ch. 7 - Prob. 63RE Ch. 7 - Prob. 64RE Ch. 7 - Prob. 65RE Ch. 7 - Prob. 66RE Ch. 7 - Prob. 67RE Ch. 7 - Prob. 68RE Ch. 7 - Prob. 69RE Ch. 7 - Prob. 70RE Ch. 7 - Prob. 71RE Ch. 7 - Prob. 72RE Ch. 7 - Prob. 73RE Ch. 7 - Prob. 74RE Ch. 7 - Prob. 75RE Ch. 7 - Prob. 76RE Ch. 7 - Prob. 77RE Ch. 7 - Prob. 78RE Ch. 7 - Prob. 79RE Ch. 7 - Prob. 80RE Ch. 7 - Prob. 81RE Ch. 7 - Prob. 82RE Ch. 7 - Prob. 83RE Ch. 7 - Prob. 84RE Ch. 7 - Prob. 85RE Ch. 7 - Prob. 86RE Ch. 7 - Prob. 87RE Ch. 7 - Prob. 88RE Ch. 7 - Prob. 89RE Ch. 7 - Prob. 90RE Ch. 7 - Prob. 91RE Ch. 7 - Prob. 92RE Ch. 7 - Prob. 93RE Ch. 7 - Prob. 94RE Ch. 7 - Prob. 95RE Ch. 7 - Prob. 96RE Ch. 7 - Prob. 97RE Ch. 7 - Prob. 98RE Ch. 7 - Prob. 99RE Ch. 7 - Prob. 100RE Ch. 7 - Prob. 101RE Ch. 7 - Prob. 102RE Ch. 7 - Prob. 103RE Ch. 7 - Prob. 104RE Ch. 7 - Prob. 105RE Ch. 7 - Prob. 106RE Ch. 7 - Prob. 107RE Ch. 7 - Prob. 108RE Ch. 7 - Prob. 109RE Ch. 7 - Prob. 110RE Ch. 7 - Prob. 111RE Ch. 7 - Prob. 112RE Ch. 7 - Prob. 1T Ch. 7 - Prob. 2T Ch. 7 - Prob. 3T Ch. 7 - Prob. 4T Ch. 7 - Prob. 5T Ch. 7 - Prob. 6T Ch. 7 - Prob. 7T Ch. 7 - Prob. 8T Ch. 7 - Prob. 9T Ch. 7 - Prob. 10T Ch. 7 - Prob. 11T Ch. 7 - Prob. 12T Ch. 7 - Prob. 13T Ch. 7 - Prob. 14T Ch. 7 - Prob. 15T Ch. 7 - Prob. 16T Ch. 7 - Prob. 17T Ch. 7 - Prob. 18T Ch. 7 - Prob. 19T Ch. 7 - Prob. 20T Ch. 7 - Prob. 1CUR Ch. 7 - Prob. 2CUR Ch. 7 - Prob. 3CUR Ch. 7 - Prob. 4CUR Ch. 7 - Prob. 5CUR Ch. 7 - Prob. 6CUR Ch. 7 - Prob. 7CUR Ch. 7 - Prob. 8CUR Ch. 7 - Prob. 9CUR Ch. 7 - Prob. 10CUR Ch. 7 - Prob. 11CUR Ch. 7 - Prob. 12CUR Ch. 7 - Solve the equation using the Zero-Product...Ch. 7 - Prob. 14CUR Ch. 7 - Prob. 15CUR Ch. 7 - Prob. 16CUR Ch. 7 - Prob. 17CUR Ch. 7 - Prob. 18CUR Ch. 7 - Prob. 19CUR Ch. 7 - Prob. 20CUR Ch. 7 - Prob. 21CUR Ch. 7 - Prob. 22CUR Ch. 7 - Prob. 23CUR Ch. 7 - Prob. 24CUR Ch. 7 - Prob. 25CUR Ch. 7 - Prob. 26CUR Ch. 7 - Prob. 27CUR Ch. 7 - Prob. 28CUR Ch. 7 - Prob. 29CUR Ch. 7 - Prob. 30CUR Ch. 7 - Prob. 1IA Ch. 7 - Prob. 2IA Ch. 7 - Prob. 3IA Ch. 7 - Prob. 4IA Ch. 7 - Prob. 5IA Ch. 7 - Prob. 6IA Ch. 7 - Prob. 7IA Ch. 7 - Prob. 8IA Ch. 7 - Prob. 9IA Ch. 7 - Prob. 10IA Ch. 7 - Prob. 11IA Ch. 7 - Prob. 12IA Ch. 7 - Prob. 13IA Ch. 7 - Prob. 14IA Ch. 7 - Prob. 15IA Ch. 7 - Prob. 16IA Ch. 7 - Prob. 17IA Ch. 7 - Prob. 18IA Ch. 7 - Prob. 19IA Ch. 7 - Prob. 20IA Ch. 7 - Prob. 21IA Ch. 7 - Prob. 22IA Ch. 7 - Prob. 23IA Ch. 7 - Prob. 24IA Ch. 7 - Prob. 25IA Ch. 7 - Prob. 26IA Ch. 7 - Prob. 27IA Ch. 7 - Prob. 28IA Ch. 7 - Prob. 29IA Ch. 7 - Prob. 30IA Ch. 7 - Prob. 31IA Ch. 7 - Prob. 32IA Ch. 7 - Prob. 33IA Ch. 7 - Prob. 34IA Ch. 7 - Prob. 35IA Ch. 7 - Solve: 7y2+y124yy2+7y+12=6y29

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The expression x + 5 3 ÷ 30 x 4 x + 20 .

Solution Summary: The author explains how to simplify the rational expression by multiplying the dividend by the reciprocal of the divisor.

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To simplify: The expression x+53÷30x4x+20.

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Chapter 7 Solutions