PREALGEBRA
15th Edition
ISBN: 9781938168994
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 3.1, Problem 32E
In the following exercises, fill in <, >, or = to compare each expression.
a.
b.
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The functions f(x) = x² - 3 and g(x) = x² + 2 are shown on the graph.
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g(x) = x² + 2
If the equations were changed to the inequalities shown, explain how the graph would change.
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a) find two linear map f. 9: R² →R³
s-t (1-5)=(1,-5)=(2, 2,0)
b) let f: RR linear map set (3)=-\
find (√5) and (√7) f (-1)
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difcid h: X-R³ s.t h(x)=(f(x),0,9(x))
xex Prove that his linear map-
d) let f = L(x) S-t f²+2f+1=0 find §.
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A craftsman of string instruments has received a new order to craft violins and guitars. The craftsman haslimited resources (wood, string, varnish) and time available to create the instruments. Each type of instrument(violin and guitar) requires specific amounts of these resources as well as a certain amount of time to complete.The craftsman wants to find the optimal number of violins and guitars to create in order to maximize the profitfrom selling them, while respecting the resource and time constraints (all instruments will be sold).The profit from selling each violin is 6,000 NOK, and the profit from selling each guitar is 3,000 NOK.Each violin requires 4 kg of wood, 0.3 l of varnish, and 2 m of string, and takes 3 days to craft. For eachguitar, the craftsman needs 5 kg of wood, 0.1 l of varnish, and 6 m of string, and it takes 2 days to make it.The craftsman’s workshop is stocked with 60 kg of wood, 2.5 l of varnish, and 65 m of string. The order needsto be completed in 30…
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 - 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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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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 - 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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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