PREALGEBRA
15th Edition
ISBN: 9781938168994
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 3, Problem 441RE
In the following exercises, solve the given applications.
Temperature One morning the temperature in Bangor, Maine was 18 degrees. By afternoon, it had dropped 20 degrees. What was the afternoon temperature?
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EXERCICE 2: 6.5 points
Le plan complexe est rapporté à un repère orthonormé (O, u, v ).Soit [0,[.
1/a. Résoudre dans l'équation (E₁): z2-2z+2 = 0. Ecrire les solutions sous forme exponentielle.
I
b. En déduire les solutions de l'équation (E2): z6-2 z³ + 2 = 0.
1-2
2/ Résoudre dans C l'équation (E): z² - 2z+1+e2i0 = 0. Ecrire les solutions sous forme
exponentielle.
3/ On considère les points A, B et C d'affixes respectives: ZA = 1 + ie 10, zB = 1-ie 10 et zc = 2.
a.
Déterminer l'ensemble EA décrit par le point A lorsque e varie sur
[0, 1.
b. Calculer l'affixe du milieu K du segment [AB].
C.
Déduire l'ensemble EB décrit par le point B lorsque varie sur
[0,¹ [.
d. Montrer que OACB est un parallelogramme.
e.
Donner une mesure de l'angle orienté (OA, OB) puis déterminer pour que OACB soit un
carré.
2
Use grouping to factor: 10x + 13x + 3 = 0
Identify A B and C in the chart below feach responce in
2
Use grouping to factor: 10x² + 13x + 3 = 0
Identify A, B, and C in the chart below. (each re
Chapter 3 Solutions
PREALGEBRA
Ch. 3.1 - TRY IT:: 3.1 Plot the numbers on a number line. a....Ch. 3.1 - TRY IT:: 3.2 Plot the numbers on a number line. a....Ch. 3.1 - TRY IT:: 3 Order each of the following pairs of...Ch. 3.1 - TRY IT:: 3.4 Order each of the following pairs of...Ch. 3.1 - TRYIT:: 3.5 Find the opposite of each number: a. 4...Ch. 3.1 - TRY IT:: 3.6 Find the opposite of each number: a....Ch. 3.1 - Try IT:: 3.7 Simplify: (1)Ch. 3.1 - Try IT:: 3.8 Simplify: (5)Ch. 3.1 - TRY IT:: 3.9 Evaluate n: a. when n=4 b. when n=4Ch. 3.1 - TRY IT:: 3.10 Evaluate: m: a. when m=11 b. when...
Ch. 3.1 - Try IT:: 3.11 Simplify: a. |12| b. |28|Ch. 3.1 - TRYIT:: 3.12 Simplify: a.|9| b.(b)-|37|Ch. 3.1 - TRYIT:: 3.13 Evaluate: a. |x|when x=17 b. |y|when...Ch. 3.1 - TRY IT:: 3.14 a. |y|when y=23 b. |y|when y=21 c....Ch. 3.1 - TRY IT:: 3.15 Fill in <, >, or = for each of the...Ch. 3.1 - TRY IT:: 3.16 Fill in <, >, or = for each of the...Ch. 3.1 - TRY IT:: 3.17 Simplify: a. |129| b. 3|6|Ch. 3.1 - TRY IT:: 3.18 Simplify: a. |2716| b. 9|7|Ch. 3.1 - TRY IT:: 3.19 Simplify: |1+8||2+5|Ch. 3.1 - TRY IT:: 3.20 Simplify: |95||76|Ch. 3.1 - TRY IT:: 3.21 Simplify: 19|114(31)|Ch. 3.1 - TRY IT:: 3.22 Simplify: 9|84(75)|Ch. 3.1 - TRY IT:: 3.23 Translate each phrase into an...Ch. 3.1 - TRY IT:: 3.24 Translate each phrase into an...Ch. 3.1 - TRY IT:: 3.25 Translate into an expression with...Ch. 3.1 - TRY IT:: 3.26 Translate into an expression with...Ch. 3.1 - In the following exercises, locate and label the...Ch. 3.1 - In the following exercises, locate and label the...Ch. 3.1 - In the following exercises, locate and label the...Ch. 3.1 - In the following exercises, locate and label the...Ch. 3.1 - In the following exercises, order each of the...Ch. 3.1 - In the following exercises, order each of the...Ch. 3.1 - In the following exercises, order each of the...Ch. 3.1 - In the following exercises, order each of the...Ch. 3.1 - In the following exercises, find the opposite of...Ch. 3.1 - In the following exercises, find the opposite of...Ch. 3.1 - In the following exercises, find the opposite of...Ch. 3.1 - In the following exercises, find the opposite of...Ch. 3.1 - In the following exercises, simplify. -(-4)Ch. 3.1 - In the following exercises, simplify. -(-8)Ch. 3.1 - In the following exercises, simplify. -(-15)Ch. 3.1 - In the following exercises, simplify. -(-11)Ch. 3.1 - In the following exercises, evaluate. mwhen a. m=3...Ch. 3.1 - In the following exercises, evaluate. pwhen a. p=6...Ch. 3.1 - In the following exercises, evaluate. cwhen a....Ch. 3.1 - In the following exercises, evaluate. dwhen a....Ch. 3.1 - In the following exercises, simplify each absolute...Ch. 3.1 - In the following exercises, simplify each absolute...Ch. 3.1 - In the following exercises, simplify each absolute...Ch. 3.1 - In the following exercises, simplify each absolute...Ch. 3.1 - In the following exercises, evaluate each absolute...Ch. 3.1 - In the following exercises, evaluate each absolute...Ch. 3.1 - In the following exercises, evaluate each absolute...Ch. 3.1 - In the following exercises, evaluate each absolute...Ch. 3.1 - In the following exercises, fill in <, >, or = to...Ch. 3.1 - In the following exercises, fill in <, >, or = to...Ch. 3.1 - In the following exercises, fill in <, >, or = to...Ch. 3.1 - In the following exercises, fill in <, >, or = to...Ch. 3.1 - In the following exercises, simplify each...Ch. 3.1 - In the following exercises, simplify each...Ch. 3.1 - In the following exercises, simplify each...Ch. 3.1 - In the following exercises, simplify each...Ch. 3.1 - In the following exercises, simplify each...Ch. 3.1 - In the following exercises, simplify each...Ch. 3.1 - 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Elevation The highest elevation in the United...Ch. 3.1 - Extreme temperatures The highest recorded...Ch. 3.1 - State budgets In June, 2011, the state of...Ch. 3.1 - College enrollments Across the United States,...Ch. 3.1 - Give an example of a negative number from your...Ch. 3.1 - What are the three uses of the “-” sign in...Ch. 3.2 - TRY IT :: 3.27 Model the expression. 2+4Ch. 3.2 - TRY IT : : 3.28 Model the expression. 2+5Ch. 3.2 - TRY IT :: 3.29 Model the expression. 2+(4)Ch. 3.2 - TRY IT :: 3.30 Model the expression. 2+(5)Ch. 3.2 - TRY IT :: 3.31 Model the expression, and then...Ch. 3.2 - TRY IT :: 3.32 Model the expression, and then...Ch. 3.2 - TRY IT :: 3.33 Model the expression, and then...Ch. 3.2 - TRY IT :: 3.34 Model the expression: (2)+5Ch. 3.2 - TRY IT :: 3.35 Model each addition. a. 3+4 b. 1+4...Ch. 3.2 - TRY IT :: 3.36 a. 5+1 b. 3+7 c. 2+(8) d. 3+(4)Ch. 3.2 - TRY IT :: 3.37 Simplify each expression: a....Ch. 3.2 - TRY IT :: 3.38 Simplify each expression: a. 55+9...Ch. 3.2 - TRY IT :: 3.39 Simplify each expression: 31+(19)Ch. 3.2 - TRY IT :: 3.40 Simplify each expression: 42+(28)Ch. 3.2 - TRY IT :: 3.41 Simplify each expression: 2+5(4+7)Ch. 3.2 - TRY IT :: 3.42 Simplify each expression: 4+2(3+5)Ch. 3.2 - TRY IT :: 3.43 Evaluate each expression for the...Ch. 3.2 - TRY IT :: 3.44 Evaluate each expression for the...Ch. 3.2 - TRY IT :: 3.45 When n=8, Evaluate a. n+2 b. n+2Ch. 3.2 - TRY IT :: 3.46 When y=9, evaluate a. y+8 b. y+8Ch. 3.2 - TRY IT :: 3.47 Evaluate the expression: a+2bwhen...Ch. 3.2 - TRY IT :: 3.48 Evaluate the expression: 5p+qwhen...Ch. 3.2 - TRY IT :: 3.49 Evaluate: (x+y)2when x=15and y=29.Ch. 3.2 - TRY IT :: 3.50 Evaluate: (x+y)3when x=8and y=10.Ch. 3.2 - TRY IT :: 3.51 Translate and simplify the...Ch. 3.2 - TRY IT :: 3.52 Translate and simplify the...Ch. 3.2 - TRY IT :: 3.53 Translate and simplify: the sum of...Ch. 3.2 - TRY IT :: 3.54 Translate and simplify: the sum of...Ch. 3.2 - TRY IT :: 3.55 The temperature in Chicago at 5...Ch. 3.2 - TRY IT :: 3.56 A scuba diver was swimming 16 feet...Ch. 3.2 - TRY IT :: 3.57 The Bears took possession of the...Ch. 3.2 - TRY IT:: 3.58 The Chargers began with the football...Ch. 3.2 - In the following exercises, model the expression...Ch. 3.2 - In the following exercises, model the expression...Ch. 3.2 - In the following exercises, model the expression...Ch. 3.2 - In the following exercises, model the expression...Ch. 3.2 - In the following exercises, model the expression...Ch. 3.2 - In the following exercises, model the expression...Ch. 3.2 - In the following exercises, model the expression...Ch. 3.2 - In the following exercises, model the expression...Ch. 3.2 - In the following exercises, simplify each...Ch. 3.2 - In the following exercises, simplify each...Ch. 3.2 - yIn the following exercises, simplify each...Ch. 3.2 - In the following exercises, simplify each...Ch. 3.2 - In the following exercises, simplify each...Ch. 3.2 - In the following exercises, simplify each...Ch. 3.2 - In the following exercises, simplify each...Ch. 3.2 - In the following exercises, simplify each...Ch. 3.2 - 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Temperature The...Ch. 3.2 - In the following exercises, solve. Temperature The...Ch. 3.2 - In the following exercises, solve. Credit Cards...Ch. 3.2 - In the following exercises, solve. Credit Cards...Ch. 3.2 - In the following exercises, solve. Weight Loss...Ch. 3.2 - In the following exercises, solve. Weight Loss...Ch. 3.2 - In the following exercises, solve. Football The...Ch. 3.2 - In the following exercises, solve. Football The...Ch. 3.2 - In the following exercises, solve. Calories...Ch. 3.2 - In the following exercises, solve. Calories Ozzie...Ch. 3.2 - In the following exercises, solve. Stock Market...Ch. 3.2 - In the following exercises, solve. Stock Market...Ch. 3.2 - In the following exercises, solve. Explain why the...Ch. 3.2 - In the following exercises, solve. Give an example...Ch. 3.3 - TRY IT :: 3.59 Model the expression: 64Ch. 3.3 - wTRY IT :: 3.60 Model the expression: 74Ch. 3.3 - TRY IT :: 3.61 Model the expression: 6(4)Ch. 3.3 - TRY IT :: 3.62 Model the expression: 7(4)Ch. 3.3 - TRY IT :: 3.63 Model the expression: 64Ch. 3.3 - TRY IT :: 3.64 Model the expression: 74Ch. 3.3 - TRY IT :: 3.65 Model the expression: 6(4)Ch. 3.3 - TRY IT :: 3.66 Model the expression: 7(4)Ch. 3.3 - TRY IT :: 3.67 Model each subtraction. a. 7(8) b....Ch. 3.3 - yTRY IT :: 3.68 Model each subtraction. a. 4(6) b....Ch. 3.3 - TRY IT :: 3.69 Model each subtraction expression....Ch. 3.3 - TRY IT :: 3.70 Model each subtraction expression....Ch. 3.3 - TRY IT :: 3.71 Simplify each expression: a.sw...Ch. 3.3 - TRY IT :: 3.72 Simplify each expression: a. 157and...Ch. 3.3 - TRY IT :: 3.73 Simplify each expression: a....Ch. 3.3 - TRY IT :: 3.74 Simplify each expression: a....Ch. 3.3 - TRY IT :: 3.75 Simplify the expression: 67(38)Ch. 3.3 - TRY IT :: 3.76 Simplify the expression: 83(57)Ch. 3.3 - TRY IT :: 3.77 Simplify the expression: 8(31)9Ch. 3.3 - TRY IT :: 3.78 Simplify the expression: 12(96)14Ch. 3.3 - TRY IT :: 3.79 Simplify the expression: 629189.Ch. 3.3 - TRY IT :: 3.80 Simplify the expression: 253749Ch. 3.3 - TRY IT :: 3.81 Evaluate each expression: y7when a....Ch. 3.3 - TRY IT :: 3.82 Evaluate each expression: m3when a....Ch. 3.3 - TRY IT :: 3.83 Evaluate each expression: 17kwhen...Ch. 3.3 - TRY IT :: 3.84 Evaluate each expression: sw 5bwhen...Ch. 3.3 - TRY IT :: 3.85 Translate and simplify: a. the...Ch. 3.3 - TRY IT :: 3.86 Translate and simplify: a. the...Ch. 3.3 - TRY IT :: 3.87 The temperature in Anchorage,...Ch. 3.3 - TRY IT :: 3.88 The temperature in Denver was -6...Ch. 3.3 - TRY IT :: 3.89 One day, John hiked to the 10,023...Ch. 3.3 - TRY IT :: 3.90 The submarine Nautilus is at 340...Ch. 3.3 - TRY IT :: 3.91 Araceli has $75 in her checking...Ch. 3.3 - TRY IT :: 3.92 Genevieve’s bank account was...Ch. 3.3 - In the following exercises, model each expression...Ch. 3.3 - In the following exercises, model each expression...Ch. 3.3 - In the following exercises, model each expression...Ch. 3.3 - In the following exercises, model each expression...Ch. 3.3 - In the following exercises, model each expression...Ch. 3.3 - In the following exercises, model each expression...Ch. 3.3 - In the following exercises, model each expression...Ch. 3.3 - In the following exercises, model each expression...Ch. 3.3 - In the following exercises, simplify each...Ch. 3.3 - In the following exercises, simplify each...Ch. 3.3 - In the following exercises, simplify each...Ch. 3.3 - In the following exercises, simplify each...Ch. 3.3 - In the following exercises, simplify each...Ch. 3.3 - In the following exercises, simplify each...Ch. 3.3 - In the following exercises, simplify each...Ch. 3.3 - In the following exercises, simplify each...Ch. 3.3 - In the following exercises, simplify each...Ch. 3.3 - In the following exercises, simplify each...Ch. 3.3 - In the following exercises, simplify each...Ch. 3.3 - 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TRY IT :: 3.101 Simplify: 8(3)+5(7)4Ch. 3.4 - TRY IT :: 3.102 Simplify: 9(3)+7(8)1Ch. 3.4 - TRY IT :: 3.103 Simplify: a.(3)4 b. 34Ch. 3.4 - TRY IT :: 3.104 Simplify: a. (7)2 b.72Ch. 3.4 - TRY IT :: 3.105 Simplify: 174(811)Ch. 3.4 - TRY IT :: 3.106 Simplify: 166(713)Ch. 3.4 - TRY IT :: 3.107 Simplify: sw 12(9)(3)3Ch. 3.4 - TRY IT :: 3.108 Simplify: 18(4)(2)3Ch. 3.4 - TRY IT :: 3.109 Simplify: 273+(5)(6)Ch. 3.4 - TRY IT :: 3.110 Simplify: 324+(2)(7)Ch. 3.4 - TRY IT :: 3.111 Evaluate: 3x22x+6when x=3Ch. 3.4 - TRY IT :: 3.112 Evaluate: 4x2x5when x=2Ch. 3.4 - TRY IT :: 3.113 Evaluate: 7x+6y12when x=2and y=3Ch. 3.4 - TRY IT :: 3.114 Evaluate: 8x6y+13when x=3and y=5Ch. 3.4 - TRY IT :: 3.115 Translate to an algebraic...Ch. 3.4 - TRY IT :: 3.116 Translate to an algebraic...Ch. 3.4 - TRY IT :: 3.117 Translate to an algebraic...Ch. 3.4 - TRY IT :: 3.118 Translate to an algebraic...Ch. 3.4 - In the following exercises, multiply each pair of...Ch. 3.4 - In the following exercises, multiply each pair of...Ch. 3.4 - In the following exercises, multiply each pair of...Ch. 3.4 - In the following exercises, multiply each pair of...Ch. 3.4 - In the following exercises, multiply each pair of...Ch. 3.4 - 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TRY IT :: 3.125 Write the equation modeled by the...Ch. 3.5 - TRY IT :: 3.127 Solve: 8a=56Ch. 3.5 - TRY IT :: 3.128 Solve: 11n=121Ch. 3.5 - TRY IT :: 3.129 Solve: 8p=96Ch. 3.5 - TRY IT :: 3.130 Solve: 12m=108Ch. 3.5 - TRY IT :: 3.131 Translate and solve: Seven more...Ch. 3.5 - TRY IT :: 3.132 Translate and solve: Eleven more...Ch. 3.5 - TRY IT :: 3.133 Translate and solve: The...Ch. 3.5 - TRY IT :: 3.134 Translate and solve: The...Ch. 3.5 - TRY IT :: 3.135 Translate and solve: The number...Ch. 3.5 - TRY IT :: 3.136 Translate and solve: The number...Ch. 3.5 - In the following exercises, determine whether each...Ch. 3.5 - In the following exercises, determine whether each...Ch. 3.5 - In the following exercises, determine whether each...Ch. 3.5 - In the following exercises, determine whether each...Ch. 3.5 - In the following exercises, solve for the unknown....Ch. 3.5 - In the following exercises, solve for the unknown....Ch. 3.5 - In the following exercises, solve for the unknown....Ch. 3.5 - 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