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Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728

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Chapter
Section
BuyFindarrow_forward

Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728
Chapter 6.3, Problem 28PS
Textbook Problem
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For Problems 15 38 , use the method of completing the square to solve each quadratic equation. (Objective 1)

x 2 + 5 x 3 = 0

To determine

To solve:

The given quadratic equation by method of completing the square.

Explanation of Solution

Definition:

Completing Squaring Method:

In this method the equation is expressed in the form x2+bx=k.

Take the one half of b and square it.

Property used:

Apply the property x2=a if and only if x=±a.

Given:

The given quadratic equation is,

x2+5x3=0

Calculation:

Consider the given quadratic equation,

x2+5x3=0 (1)

Isolate the constant term from the above equation.

x2+5x=3 (2)

The coefficient of x is 5.

Consider the half of the coefficient of x and then square it.

(12×5)2=(52)2=254

Add the above result in equation (2).

x2+5x+254=3+254

Factor the perfect square trinomial.

(x+52)2=374 (3)

Apply the above stated property, in equation (3)

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Chapter 6 Solutions

Intermediate Algebra
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Solve each of the equations in Problems 6473,...Ch. 6.4 - Solve each of the equations in Problems 6473,...Ch. 6.4 - Solve each of the equations in Problems 6473,...Ch. 6.4 - For Problems 7476, use the discriminant to help...Ch. 6.4 - For Problems 7476, use the discriminant to help...Ch. 6.4 - For Problems 7476, use the discriminant to help...Ch. 6.5 - For Problems 15, choose the method that you think...Ch. 6.5 - For Problems 15, choose the method that you think...Ch. 6.5 - For Problems 15, choose the method that you think...Ch. 6.5 - For Problems 15, choose the method that you think...Ch. 6.5 - For Problems 15, choose the method that you think...Ch. 6.5 - For Problems 120, solve each quadratic equation...Ch. 6.5 - For Problems 120, solve each quadratic equation...Ch. 6.5 - For Problems 120, solve each quadratic equation...Ch. 6.5 - For Problems 120, solve each quadratic equation...Ch. 6.5 - For Problems 120, solve each quadratic equation...Ch. 6.5 - For Problems 120, solve each quadratic equation...Ch. 6.5 - 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Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 2140, solve each equation. Objective...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - A 5-inch by 7-inch picture is surrounded by a...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 41-68, set up an equation and solve...Ch. 6.5 - For Problems 41-68, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - For Problems 4168, set up an equation and solve...Ch. 6.5 - How would you solve the equation x24x=252? Explain...Ch. 6.5 - Explain how you would solve (x2)(x7)=0 and also...Ch. 6.5 - One of our problem-solving suggestions is to look...Ch. 6.5 - Can a quadratic equation with integral...Ch. 6.5 - For Problems 7379, solve each equation....Ch. 6.5 - For Problems 7379, solve each equation. x4x+3=0Ch. 6.5 - For Problems 7379, solve each equation. x+x2=0Ch. 6.5 - For Problems 7379, solve each equation. x23+x136=0Ch. 6.5 - For Problems 7379, solve each equation....Ch. 6.5 - For Problems 7379, solve each equation. x2+4x112=0Ch. 6.5 - For Problems 7379, solve each equation....Ch. 6.5 - For Problems 8088, solve each equation. (5x+6)12=xCh. 6.5 - For Problems 8088, solve each equation. (3x+4)12=xCh. 6.5 - For Problems 8088, solve each equation. x23=2Ch. 6.5 - For Problems 8088, solve each equation. x25=2Ch. 6.5 - For problems 8088, solve each equation. (2x+6)12=xCh. 6.5 - For Problems 8088, solve each equation. (2x4)23=1Ch. 6.5 - For Problems 8088, solve each equation. (4x+5)23=2Ch. 6.5 - For Problems 8088, solve each equation....Ch. 6.5 - For Problems 8088, solve each equation....Ch. 6.6 - For Problems 110, answer true or false. When...Ch. 6.6 - For Problems 110, answer true or false. The...Ch. 6.6 - For Problems 110, answer true or false. The...Ch. 6.6 - For Problems 110, answer true or false. The...Ch. 6.6 - For Problems 110, answer true or false. The number...Ch. 6.6 - For Problems 110, answer true or false. The...Ch. 6.6 - For Problems 110, answer true or false. The...Ch. 6.6 - For Problems 110, answer true or false. The...Ch. 6.6 - For Problems 110, answer true or false. The...Ch. 6.6 - For Problems 110, answer true or false. The...Ch. 6.6 - For problems 112, solve each inequality and graph...Ch. 6.6 - For Problems 112, solve each inequality and graph...Ch. 6.6 - For Problems 112, solve each inequality and graph...Ch. 6.6 - For problems 112, solve each inequality and graph...Ch. 6.6 - For Problems 112, solve each inequality and graph...Ch. 6.6 - For Problems 112, solve each inequality and graph...Ch. 6.6 - For Problems 112, solve each inequality and graph...Ch. 6.6 - For Problems 112, solve each inequality and graph...Ch. 6.6 - For problems 112, solve each inequality and graph...Ch. 6.6 - For problems 112, solve each inequality and graph...Ch. 6.6 - For problems 112, solve each inequality and graph...Ch. 6.6 - For problems 112, solve each inequality and graph...Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For problems 1338, solve each inequality....Ch. 6.6 - For Problems 1338, solve each inequality....Ch. 6.6 - For Problems 13-38, solve each inequality....Ch. 6.6 - For Problems 13-38, solve each inequality....Ch. 6.6 - For Problems 13-38, solve each inequality....Ch. 6.6 - For Problems 13-38, solve each inequality....Ch. 6.6 - For Problems 13-38, solve each inequality....Ch. 6.6 - For Problems 13-38, solve each inequality....Ch. 6.6 - For Problems 13-38, solve each inequality....Ch. 6.6 - For Problems 13-38, solve each inequality....Ch. 6.6 - For Problems 39-56, solve each inequality....Ch. 6.6 - For Problems 39-56, solve each inequality....Ch. 6.6 - For Problems 39-56, solve each inequality....Ch. 6.6 - For Problems 39-56, solve each inequality....Ch. 6.6 - For Problems 39-56, solve each inequality....Ch. 6.6 - For Problems 39-56, solve each inequality....Ch. 6.6 - For Problems 39-56, solve each inequality....Ch. 6.6 - For Problems 39-56, solve each inequality....Ch. 6.6 - For Problems 39-56, solve each inequality....Ch. 6.6 - For Problem 3956, solve each inequality. Objective...Ch. 6.6 - For Problem 3956, solve each inequality. Objective...Ch. 6.6 - For Problem 3956, solve each inequality. Objective...Ch. 6.6 - For Problem 3956, solve each inequality. Objective...Ch. 6.6 - For Problem 3956, solve each inequality. Objective...Ch. 6.6 - For Problem 3956, solve each inequality. Objective...Ch. 6.6 - For Problem 3956, solve each inequality. Objective...Ch. 6.6 - For Problem 3956, solve each inequality. Objective...Ch. 6.6 - For Problems 39-56, solve each inequality....Ch. 6.6 - Explain how to solve the inequality...Ch. 6.6 - Explain how to solve the inequality (x2)20 by...Ch. 6.6 - Your friend looks at the inequality 1+1x2 and,...Ch. 6.6 - Why is the solution set for (x2)20 the set of all...Ch. 6.6 - Why is the solution set for (x2)20 the set {2}?Ch. 6.6 - The product (x2)(x+3) is positive if both factors...Ch. 6.S - Subtract: (43i)(8+5i)Ch. 6.S - Write 24 in terms of i and simplify.Ch. 6.S - Simplify: 369Ch. 6.S - Find the product (6+5i)(3i).Ch. 6.S - Find the quotient 3+i52i.Ch. 6.S - Solve 5x214x3=0.Ch. 6.S - Solve 4(x3)2=20.Ch. 6.S - Solve x28x5=0.Ch. 6.S - Solve 2x2+3x7=0.Ch. 6.S - Use the discriminate to determine the nature of...Ch. 6.S - Solve x26x+14=0.Ch. 6.S - Find the length of each leg of an isosceles right...Ch. 6.S - Find two consecutive whole numbers such that the...Ch. 6.S - Solve x22x150.Ch. 6.S - Solve 2x1x+70.Ch. 6.CR - For Problems 14, perform the indicated operations...Ch. 6.CR - For Problems 14, perform the indicated operations...Ch. 6.CR - For Problems 14, perform the indicated operations...Ch. 6.CR - For Problems 14, perform the indicated operations...Ch. 6.CR - For Problems 58, write each expression in terms of...Ch. 6.CR - For Problems 58, write each expression in terms of...Ch. 6.CR - For Problems 58, write each expression in terms of...Ch. 6.CR - For Problems 58, write each expression in terms of...Ch. 6.CR - For Problems 918, perform the indicated operation...Ch. 6.CR - For Problems 918, perform the indicated operation...Ch. 6.CR - For Problems 918, perform the indicated operation...Ch. 6.CR - For Problems 918, perform the indicated operation...Ch. 6.CR - For Problems 918, perform the indicated operation...Ch. 6.CR - For Problems 918, perform the indicated operation...Ch. 6.CR - For Problems 918, perform the indicated operation...Ch. 6.CR - For Problems 918, perform the indicated operation...Ch. 6.CR - For Problems 918, perform the indicated operation...Ch. 6.CR - For Problems 918, perform the indicated operation...Ch. 6.CR - For Problems 19 and 20, perform the indicated...Ch. 6.CR - For Problems 19 and 20, perform the indicated...Ch. 6.CR - For Problems 2124, solve each of the quadratic...Ch. 6.CR - For Problems 2124, solve each of the quadratic...Ch. 6.CR - For Problems 2124, solve each of the quadratic...Ch. 6.CR - For Problems 2124, solve each of the quadratic...Ch. 6.CR - For Problems 2528, use Property 6.1 to help solve...Ch. 6.CR - For Problems 2528, use Property 6.1 to help solve...Ch. 6.CR - For Problems 2528, use Property 6.1 to help solve...Ch. 6.CR - For Problems 2528, use Property 6.1 to help solve...Ch. 6.CR - For Problems 2932, use the method of completing...Ch. 6.CR - For Problems 2932, use the method of completing...Ch. 6.CR - For Problems 2932, use the method of completing...Ch. 6.CR - For Problems 2932, use the method of completing...Ch. 6.CR - For Problems 3336, use the quadratic formula to...Ch. 6.CR - For Problems 3336, use the quadratic formula to...Ch. 6.CR - For Problems 3336, use the quadratic formula to...Ch. 6.CR - For Problems 3336, use the quadratic formula to...Ch. 6.CR - For Problems 3740, find the discriminant of each...Ch. 6.CR - For Problems 3740, find the discriminant of each...Ch. 6.CR - For Problems 3740, find the discriminant of each...Ch. 6.CR - For Problems 3740, find the discriminant of each...Ch. 6.CR - For Problems 4159, solve each equation. x217x=0Ch. 6.CR - For Problems 4159, solve each equation. (x2)2=36Ch. 6.CR - For Problems 4159, solve each equation. (2x1)2=64Ch. 6.CR - For Problems 4159, solve each equation. x24x21=0Ch. 6.CR - For Problems 4159, solve each equation. x2+2x9=0Ch. 6.CR - For Problems 4159, solve each equation. x26x=34Ch. 6.CR - For Problems 4159, solve each equation. 4x=x5Ch. 6.CR - For Problems 4159, solve each equation. 3n2+10n8=0Ch. 6.CR - For Problems 4159, solve each equation. n210n=200Ch. 6.CR - For Problems 4159, solve each equation. 3a2+a5=0Ch. 6.CR - For Problems 4159, solve each equation. x2x+3=0Ch. 6.CR - For Problems 4159, solve each equation. 2x25x+6=0Ch. 6.CR - For Problems 4159, solve each equation. 2a2+4a5=0Ch. 6.CR - For Problems 4159, solve each equation. t(t+5)=36Ch. 6.CR - For Problems 4159, solve each equation. x2+4x+9=0Ch. 6.CR - For Problems 4159, solve each equation....Ch. 6.CR - For Problems 4159, solve each equation. 3x+2x+3=1Ch. 6.CR - For Problems 4159, solve each equation....Ch. 6.CR - For Problems 4159, solve each equation. 3n2=n+54Ch. 6.CR - For Problems 60-70, set up an equation and solve...Ch. 6.CR - For Problems 60-70, set up an equation and solve...Ch. 6.CR - One leg of an isosceles right triangle measures 4...Ch. 6.CR - For Problems 60-70, set up an equation and solve...Ch. 6.CR - For Problems 60-70, set up an equation and solve...Ch. 6.CR - For Problems 60-70, set up an equation and solve...Ch. 6.CR - For Problems 60-70, set up an equation and solve...Ch. 6.CR - For Problems 60-70, set up an equation and solve...Ch. 6.CR - For Problems 60-70, set up an equation and solve...Ch. 6.CR - For Problems 6070, set up an equation and solve...Ch. 6.CR - For Problems 6070, set up an equation and solve...Ch. 6.CR - For Problem 7178, solve each inequality and...Ch. 6.CR - For Problem 7178, solve each inequality and...Ch. 6.CR - For Problem 7178, solve each inequality and...Ch. 6.CR - For Problem 7178, solve each inequality and...Ch. 6.CR - For Problem 7178, solve each inequality and...Ch. 6.CR - For Problem 7178, solve each inequality and...Ch. 6.CR - For Problem 7178, solve each inequality and...Ch. 6.CR - For Problem 7178, solve each inequality and...Ch. 6.CT - Find the product (34i)(5+6i), and express the...Ch. 6.CT - Find the quotient 23i3+4i, and express the result...Ch. 6.CT - For Problems 315, solve each equation. x2=7xCh. 6.CT - For Problems 315, solve each equation. (x3)2=16Ch. 6.CT - For Problems 315, solve each equation. x2+3x18=0Ch. 6.CT - For Problems 315, solve each equation. x22x1=0Ch. 6.CT - For Problems 315, solve each equation. 5x22x+1=0Ch. 6.CT - For Problems 315, solve each equation. x2+30x=224Ch. 6.CT - For Problems 315, solve each equation. (3x1)2+36=0Ch. 6.CT - For Problems 315, solve each equation....Ch. 6.CT - For Problems 315, solve each equation....Ch. 6.CT - For Problems 315, solve each equation. n(3n2)=40Ch. 6.CT - For Problems 315, solve each equation. x4+12x264=0Ch. 6.CT - For Problems 315, solve each equation. 3x+2x+1=4Ch. 6.CT - For Problems 315, solve each equation. 3x22x3=0Ch. 6.CT - Does the equation 4x2+20x+25=0 have (a) two...Ch. 6.CT - Does the equation 4x23x=5 have (a) two nonreal...Ch. 6.CT - For Problems 1820, solve each inequality and...Ch. 6.CT - For Problems 1820, solve each inequality and...Ch. 6.CT - For Problems 1820, solve each inequality and...Ch. 6.CT - For Problems 2125, set up an equation and solve...Ch. 6.CT - For Problems 2125, set up an equation and solve...Ch. 6.CT - For Problems 21-25, set up an equation and solve...Ch. 6.CT - For Problems 2125, set up an equation and solve...Ch. 6.CT - For Problems 2125, set up an equation and solve...Ch. 6.CM - For Problems 16, evaluate each of the numerical...Ch. 6.CM - For Problems 16, evaluate each of the numerical...Ch. 6.CM - For Problems 16, evaluate each of the numerical...Ch. 6.CM - For Problems 16, evaluate each of the numerical...Ch. 6.CM - For Problems 16, evaluate each of the numerical...Ch. 6.CM - For Problems 16, evaluate each of the numerical...Ch. 6.CM - For Problems 714, evaluate each algebraic...Ch. 6.CM - For Problems 714, evaluate each algebraic...Ch. 6.CM - For Problems 714, evaluate each algebraic...Ch. 6.CM - For Problems 714, evaluate each algebraic...Ch. 6.CM - For Problems 714, evaluate each algebraic...Ch. 6.CM - For Problems 714, evaluate each algebraic...Ch. 6.CM - For Problems 714, evaluate each algebraic...Ch. 6.CM - For Problems 714, evaluate each algebraic...Ch. 6.CM - For Problems 1526, perform the indicated...Ch. 6.CM - For Problems 1526, perform the indicated...Ch. 6.CM - For Problems 1526, perform the indicated...Ch. 6.CM - For Problems 1526, perform the indicated...Ch. 6.CM - For Problems 1526, perform the indicated...Ch. 6.CM - For Problems 1526, perform the indicated...Ch. 6.CM - For Problems 1526, perform the indicated...Ch. 6.CM - For Problems 1526, perform the indicated...Ch. 6.CM - For Problems 1526, perform the indicated...Ch. 6.CM - For Problems 1526, perform the indicated...Ch. 6.CM - For Problems 1526, perform the indicated...Ch. 6.CM - For Problems 1526, perform the indicated...Ch. 6.CM - Simplify the complex fraction. 34x+7911253xCh. 6.CM - For Problems 2835, factor completely....Ch. 6.CM - For Problems 2835, factor completely. 81m29n2Ch. 6.CM - For Problems 2835, factor completely. 2x213x7Ch. 6.CM - For Problems 2835, factor completely. 12y2+28y5Ch. 6.CM - For Problems 2835, factor completely. 6t2+34t56Ch. 6.CM - For Problems 2835, factor completely. c2y6Ch. 6.CM - For Problems 2835, factor completely. 8h214h15Ch. 6.CM - For Problems 2835, factor completely. a3+8b3Ch. 6.CM - For Problems 3658, solve each equation....Ch. 6.CM - For Problems 3658, solve each equation....Ch. 6.CM - For Problems 3658, solve each equation. t5+t3t30=1Ch. 6.CM - For Problems 3658, solve each equation....Ch. 6.CM - For Problems 3658, solve each equation....Ch. 6.CM - For Problems 3658, solve each equation. A=P+Prt...Ch. 6.CM - For Problems 3658, solve each equation. 3x4=4Ch. 6.CM - For Problems 3658, solve each equation. 10x33=3Ch. 6.CM - For Problems 3658, solve each equation. 4c2=43Ch. 6.CM - For Problems 3658, solve each equation. x+3+5=x+48Ch. 6.CM - For Problems 3658, solve each equation....Ch. 6.CM - For Problems 3658, solve each equation. 3x=x10Ch. 6.CM - For Problems 3658, solve each equation. (4x3)25=20Ch. 6.CM - For Problems 3658, solve each equation. 6x2+7x20=0Ch. 6.CM - For Problems 3658, solve each equation....Ch. 6.CM - For Problems 3658, solve each equation. P=2l+2w...Ch. 6.CM - For Problems 3658, solve each equation. |9x2|=0Ch. 6.CM - For Problems 3658, solve each equation. |4x+7|3=12Ch. 6.CM - For Problems 36-58, solve each equation....Ch. 6.CM - For Problems 36-58, solve each equation....Ch. 6.CM - For Problems 36-58, solve each equation. a+44=3aCh. 6.CM - For Problems 36-58, solve each equation....Ch. 6.CM - For Problems 36-58, solve each equation....Ch. 6.CM - For Problems 5970, solve each inequality and...Ch. 6.CM - For Problems 5970, solve each inequality and...Ch. 6.CM - For Problems 5970, solve each inequality and...Ch. 6.CM - For Problems 5970, solve each inequality and...Ch. 6.CM - For Problems 5970, solve each inequality and...Ch. 6.CM - For Problems 5970, solve each inequality and...Ch. 6.CM - For Problems 5970, solve each inequality and...Ch. 6.CM - For Problems 5970, solve each inequality and...Ch. 6.CM - For Problems 5970, solve each inequality and...Ch. 6.CM - For Problems 5970, solve each inequality and...Ch. 6.CM - For Problems 5970, solve each inequality and...Ch. 6.CM - For Problems 5970, solve each inequality and...Ch. 6.CM - For Problems 7180, solve by setting up and solving...Ch. 6.CM - For Problems 7180, solve by setting up and solving...Ch. 6.CM - For Problems 7180, solve by setting up and solving...Ch. 6.CM - For Problems 7180, solve by setting up and solving...Ch. 6.CM - For Problems 7180, solve by setting up and solving...Ch. 6.CM - For Problems 7180, solve by setting up and solving...Ch. 6.CM - For Problems 7180, solve by setting up and solving...Ch. 6.CM - solve by setting up and solving an appropriate...Ch. 6.CM - For Problems 7180, solve by setting up and solving...Ch. 6.CM - For Problems 7180, solve by setting up and solving...

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