PREALGEBRA
15th Edition
ISBN: 9781938168994
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 6.1, Problem 95E
Convert
to percents. Do you notice a pattern? Explain the pattern is.
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Matrix MЄ R4×4, as specified below, is an orthogonal matrix - thus, it fulfills MTM = I.
M
(ELES),-
m2,1.
We know also that all the six unknowns mr,c are non-negative with the exception of
Your first task is to find the values of all the six unknowns. Think first, which of the mr,c you should find first.
Next, consider a vector v = (-6, 0, 0, 8) T. What's the length of v, i.e., |v|?
Using M as transformation matrix, map v onto w by w = Mv provide w with its numeric values.
What's the length of w, especially when comparing it to the length of v?
Finally, consider another vector p = ( 0, 0, 8, 6) T. What's the angle between v (from above) and p?
Using M as transformation matrix, map p onto q by q = Mp - provide q with its numeric values.
What's the angle between w and q, especially when comparing it to the angle between v and p?
7. (a) (i) Express y=-x²-7x-15 in the form
y = −(x+p)²+q.
(ii) Hence, sketch the graph of
y=-x²-7x-15.
(b) (i) Express y = x² - 3x + 4 in the form
y = (x − p)²+q.
(ii) Hence, sketch the graph of y = x² - 3x + 4.
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CHAPTER 1
Part 1 and 2
Chapter 6 Solutions
PREALGEBRA
Ch. 6.1 - TRY IT :: 6.1 Write the percent as a ratio....Ch. 6.1 - TRY IT :: 6.1 Write the percent as a ratio. A...Ch. 6.1 - TRY IT:: 6.3 Write as a ratio and then as a...Ch. 6.1 - TRY IT :: 6.4 Write as a ratio and then as a...Ch. 6.1 - TRY IT :: 6.5 Convert each percent to a fraction:...Ch. 6.1 - TRY IT :: 6.6 Convert each percent to a fraction:...Ch. 6.1 - TRY IT :: 6.7 Convert each percent to a fraction:...Ch. 6.1 - TRY IT :: 6.7 Convert each percent to a fraction:...Ch. 6.1 - TRY IT :: 6.9 Convert each percent to a fraction:...Ch. 6.1 - TRY IT :: 6.10 Convert each percent to a decimal:...
Ch. 6.1 - TRY IT :: 6.11 Convert each percent to a decimal:...Ch. 6.1 - TRY IT :: 6.12 Convert each percent to a decimal:...Ch. 6.1 - TRY IT :: 6.13 Convert the percent to: (a) a...Ch. 6.1 - TRY IT :: 6.14 Convert the percent to: (a) a...Ch. 6.1 - TRY IT :: 6.15 Convert the percent to: (a) a...Ch. 6.1 - TRY IT :: 6.16 Convert the percent to: (a) a...Ch. 6.1 - TRY IT :: 6.17 Convert each decimal to a percent:...Ch. 6.1 - TRY IT :: 6.18 Convert each decimal to a percent:...Ch. 6.1 - TRY IT :: 6.19 Convert each decimal to a percent:...Ch. 6.1 - TRY IT :: 6.20 Convert each decimal to a percent:...Ch. 6.1 - TRY IT :: 6.21 Convert each fraction or mixed...Ch. 6.1 - TRY IT :: 6.23 Convert each fraction or mixed...Ch. 6.1 - TRY IT :: 6.23 Convert the fraction to a percent:...Ch. 6.1 - TRY IT :: 6.24 Convert the fraction to a percent:...Ch. 6.1 - TRY IT :: 6.25 Convert the fraction to a percent:...Ch. 6.1 - TRY IT :: 6.26 Convert the fraction to a percent:...Ch. 6.1 - Use the Definition of Percents In the following...Ch. 6.1 - Use the Definition of Percents. In the following...Ch. 6.1 - Use the Definition of Percents In the following...Ch. 6.1 - Use the Definition of Percents In the following...Ch. 6.1 - Use the Definition of PercentsIn the following...Ch. 6.1 - Use the Definition of Percents In the following...Ch. 6.1 - Use the Definition of Percents In the following...Ch. 6.1 - Use the Definition of Percents In the following...Ch. 6.1 - Convert Percents to Fractions and Decimals In the...Ch. 6.1 - Convert Percents to Fractions and Decimals In the...Ch. 6.1 - Convert Percents to Fractions and Decimals In the...Ch. 6.1 - Convert Percents to Fractions and Decimals In the...Ch. 6.1 - Convert Percents to Fractions and Decimals In the...Ch. 6.1 - Convert Percents to Fractions and Decimals In the...Ch. 6.1 - Convert Percents to Fractions and Decimals In the...Ch. 6.1 - Convert Percents to Fractions and Decimals In the...Ch. 6.1 - Convert Percents to Fractions and Decimals In the...Ch. 6.1 - Convert Percents to Fractions and Decimals In the...Ch. 6.1 - 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Convert Decimals and Fractions to Percents Sales...Ch. 6.1 - Savings Ryan has 25% of each paycheck...Ch. 6.1 - Amelio is shopping for textbooks online. He found...Ch. 6.1 - Convert Decimals and Fractions to Percents Write...Ch. 6.1 - Convert Decimals and Fractions to Percents Write...Ch. 6.1 - Convert Decimals and Fractions to Percents 92....Ch. 6.1 - Convert Decimals and Fractions to Percents 93....Ch. 6.1 - Convert 25%, 50%, 75%, and 100% to fractions. Do...Ch. 6.1 - Convert 110,210,310,410,510,610,710,810 , and 910...Ch. 6.1 - When the Szetos sold their home, the selling price...Ch. 6.1 - According to cnn.com, cell phone use in 2008 was...Ch. 6.2 - TRY IT :: 6.27 What number is 45% of 80?Ch. 6.2 - TRY IT :: 6.28 What number is 525% of 60?Ch. 6.2 - TRY IT :: 6.29 of 78 is what number?Ch. 6.2 - TRY IT :: 6.30 of 72 is what number?Ch. 6.2 - TRY IT :: 6.31 17 is 25% of what number?Ch. 6.2 - TRY IT :: 6.32 40 is 62.5% of what number?Ch. 6.2 - TRY IT :: 6.33 of what number is $1.95?Ch. 6.2 - TRY IT :: 6.34 8.5% of what number is $3,06?Ch. 6.2 - TRY IT :: 6.35 What percent of 76 is 57?Ch. 6.2 - TRY IT :: 6.36 What percent of 120 is 96?Ch. 6.2 - TRY IT :: 6.37 is what percent of 88?Ch. 6.2 - TRY IT :: 6.38 what percent of 72?Ch. 6.2 - TRY IT :: 6.39 Cierra and her sister enjoyed a...Ch. 6.2 - TRY IT :: 6.40 Kimngoc had lunch at her favorite...Ch. 6.2 - TRY IT :: 6.41 One serving of wheat square cereal...Ch. 6.2 - TRY IT :: 6.42 One serving of rice cereal has 190...Ch. 6.2 - TRY IT :: 6.43 Veronica is planning to make...Ch. 6.2 - TRY IT :: 6.44 The brownie mix Ricardo plans to...Ch. 6.2 - TRY IT :: 6.45 In 2011, the IRS increased the...Ch. 6.2 - TRY IT :: 6.46 In 1995, the standard bus fare in...Ch. 6.2 - TRY IT :: 6.47 The population of one city was...Ch. 6.2 - TRY IT :: 6.48 Last year Sheila’s salary was...Ch. 6.2 - Translate and Solve Basic Percent Equations In the...Ch. 6.2 - Translate and Solve Basic Percent Equations In the...Ch. 6.2 - Translate and Solve Basic Percent Equations In the...Ch. 6.2 - Translate and Solve Basic Percent Equations In the...Ch. 6.2 - Translate and Solve Basic Percent Equations In the...Ch. 6.2 - Translate and Solve Basic Percent Equations In the...Ch. 6.2 - Translate and Solve Basic Percent Equations In the...Ch. 6.2 - Translate and Solve Basic Percent Equations In the...Ch. 6.2 - Translate and Solve Basic Percent Equations In the...Ch. 6.2 - Translate and Solve Basic Percent Equations In the...Ch. 6.2 - Translate and Solve Basic Percent Equations In the...Ch. 6.2 - 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TRY IT :: 6.57 Marta bought a dishwasher that was...Ch. 6.3 - TRY IT :: 6.58 Orlando bought a pair of shoes that...Ch. 6.3 - TRY IT :: 6.59 Find (a) the amount of discount and...Ch. 6.3 - TRY IT:: 6.60 Find (a) the amount of discount and...Ch. 6.3 - TRY IT :: 6.61 Find (a) the amount of discount and...Ch. 6.3 - TRY IT :: 6.62 Find (a) the amount of discount and...Ch. 6.3 - TRY IT:: 6 63 Jim's music store bought a guitar at...Ch. 6.3 - TRY IT :: 6.64 The Auto Resale Store bought...Ch. 6.3 - Solve Sales Tax Applications In the following...Ch. 6.3 - Solve Sales Tax Applications In the following...Ch. 6.3 - Solve Sales Tax Applications In the following...Ch. 6.3 - Solve Sales Tax Applications In the following...Ch. 6.3 - Solve Sales Tax Applications In the following...Ch. 6.3 - Solve Sales Tax Applications In the following...Ch. 6.3 - Solve Sales Tax Applications In the following...Ch. 6.3 - Solve Sales Tax Applications In the following...Ch. 6.3 - In the following exercises, find the sales tax...Ch. 6.3 - In the following exercises, find the sales tax...Ch. 6.3 - In the following exercises, find the sales tax...Ch. 6.3 - In the following exercises, find the sales tax...Ch. 6.3 - Solve Commission Applications In the following...Ch. 6.3 - Solve Commission Applications In the following...Ch. 6.3 - Solve Commission Applications In the following...Ch. 6.3 - Solve Commission Applications In the following...Ch. 6.3 - Solve Commission Applications In the following...Ch. 6.3 - Solve Commission Applications In the following...Ch. 6.3 - Solve Commission Applications In the following...Ch. 6.3 - Solve Commission Applications In the following...Ch. 6.3 - Solve Commission Applications In the following...Ch. 6.3 - Solve Commission Applications In the following...Ch. 6.3 - Solve Commission Applications In the following...Ch. 6.3 - Solve Commission Applications In the following...Ch. 6.3 - Solve Commission Applications In the following...Ch. 6.3 - Solve Commission Applications In the following...Ch. 6.3 - 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Solve Mark-up Applications In the following...Ch. 6.3 - Solve Mark-up Applications In the following...Ch. 6.3 - Solve Mark-up Applications In the following...Ch. 6.3 - Solve Mark-up Applications In the following...Ch. 6.3 - Solve Mark-up Applications In the following...Ch. 6.3 - Solve Mark-up Applications In the following...Ch. 6.4 - TRY IT:: 6 65 Find the simple interest earned...Ch. 6.4 - TRY IT:: 6 66 Find the simple interest earned...Ch. 6.4 - TRY IT:: 6.67 Find the principal invested if $495...Ch. 6.4 - TRY IT :: 6.68 Find the principal invested if...Ch. 6.4 - TRY IT:: 6.69 Find the rate if a principal of...Ch. 6.4 - TRY IT ::6.70 Find the rate if a principal of...Ch. 6.4 - TRY IT:: 6.71 Areli invested a principal of $950...Ch. 6.4 - TRY IT:: 6.72 Susana invested a principal of...Ch. 6.4 - TRY IT :: 6.73 Jim lent his sister $5,000 to help...Ch. 6.4 - TRY IT :: 674 Hang borrowed $7,500 from her...Ch. 6.4 - TRY IT:: 6 75 Sean's new car loan statement said...Ch. 6.4 - TRY IT:: 6 76 In 5 years, Gloria's bank account...Ch. 6.4 - TRY IT:: 6 77 Adriana invested $4,500 for 8 months...Ch. 6.4 - TRY IT:: 6.78 Milton invested $2,460 for 20 months...Ch. 6.4 - Use the Simple Interest Formula In the following...Ch. 6.4 - Use the Simple Interest Formula In the following...Ch. 6.4 - Use the Simple Interest Formula In the following...Ch. 6.4 - Use the Simple Interest Formula In the following...Ch. 6.4 - Use the Simple Interest Formula In the following...Ch. 6.4 - Use the Simple Interest Formula In the following...Ch. 6.4 - In the following exercises, solve the problem...Ch. 6.4 - In the following exercises, solve the problem...Ch. 6.4 - In the following exercises, solve the problem...Ch. 6.4 - In the following exercises, solve the problem...Ch. 6.4 - In the following exercises, solve the problem...Ch. 6.4 - In the following exercises, solve the problem...Ch. 6.4 - In the following exercises, solve the problem...Ch. 6.4 - In the following exercises, solve the problem...Ch. 6.4 - In the following exercises, solve the problem...Ch. 6.4 - 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TRY IT :: 6.88 Solve the proportion: 7y=105135 .Ch. 6.5 - Try IT :: 6.89 Pediatricians prescribe 5...Ch. 6.5 - TRY IT :: 6.90 For every 1 kilogram (kg) of a...Ch. 6.5 - TRY IT :: 6.91 Marissa loves the Caramel Macchiato...Ch. 6.5 - TRY IT :: 6.92 Yaneli loves Starburst candies, but...Ch. 6.5 - TRY IT :: 6.93 Yurianna is going to Europe and...Ch. 6.5 - TRY IT :: 6.94 Corey and Nicole are traveling to...Ch. 6.5 - TRY IT :: 6.95 Translate to a proportion: What...Ch. 6.5 - TRY IT :: 6.96 Translate to a proportion: What...Ch. 6.5 - TRY IT :: 6.97 Translate to a proportion: 36 is...Ch. 6.5 - :: 6.98 Translate to a proportion: 27 is 36% of...Ch. 6.5 - TRY IT :: 6.99 Translate to a proportion: What...Ch. 6.5 - TRY IT :: 6,100 Translate to a proportion: What...Ch. 6.5 - TRY IT:: 6.101 Translate and solve using...Ch. 6.5 - TRY IT:: 6.102 Translate and solve using...Ch. 6.5 - TRY IT:: 6.103 Translate and solve using...Ch. 6.5 - TRY IT:: 6.104 Translate and solve using...Ch. 6.5 - TRY IT:: 6.103 Translate and solve using...Ch. 6.5 - 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Translate and Solve Percent Proportions In the...Ch. 6.5 - Mixing a concentrate Travis is going to wash his...Ch. 6.5 - To solve "what number is 45% of 350” do you prefer...Ch. 6.5 - To solve "what percent of 125 is 25” do you prefer...Ch. 6 - Understand Percent In the following exercises,...Ch. 6 - Understand Percent In the following exercises,...Ch. 6 - In the following exercises, write as a ration and...Ch. 6 - In the following exercises, write as a ration and...Ch. 6 - In the following exercises, convert each percent...Ch. 6 - In the following exercises, convert each percent...Ch. 6 - In the following exercises, convert each percent...Ch. 6 - In the following exercises, convert each percent...Ch. 6 - In the following exercises, convert each percent...Ch. 6 - In the following exercises, convert each percent...Ch. 6 - In the following exercises, convert each percent...Ch. 6 - In the following exercises, convert each percent...Ch. 6 - In the following exercises, convert each percent...Ch. 6 - In the following exercises, convert each percent...Ch. 6 - In the following exercises, convert each percent...Ch. 6 - In the following exercises, convert each percent...Ch. 6 - In the following exercises, convert each decimal...Ch. 6 - In the following exercises, convert each decimal...Ch. 6 - In the following exercises, convert each decimal...Ch. 6 - In the following exercises, convert each decimal...Ch. 6 - In the following exercises, convert each decimal...Ch. 6 - In the following exercises, convert each decimal...Ch. 6 - In the following exercises, convert each decimal...Ch. 6 - In the following exercises, convert each decimal...Ch. 6 - In the following exercises, convert each decimal...Ch. 6 - In the following exercises, convert each decimal...Ch. 6 - In the following exercises, convert each fraction...Ch. 6 - In the following exercises, convert each fraction...Ch. 6 - In the following exercises, translate and solve....Ch. 6 - In the following exercises, translate and solve....Ch. 6 - 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Solve Sales Tax, Commission, and Discount...Ch. 6 - Solve Sales Tax, Commission, and Discount...Ch. 6 - Solve Sales Tax, Commission, and Discount...Ch. 6 - Solve Sales Tax, Commission, and Discount...Ch. 6 - Solve Sales Tax, Commission, and Discount...Ch. 6 - Solve Sales Tax, Commission, and Discount...Ch. 6 - Solve Sales Tax, Commission, and Discount...Ch. 6 - Solve Sales Tax, Commission, and Discount...Ch. 6 - Solve Sales Tax, Commission, and Discount...Ch. 6 - Solve Sales Tax, Commission, and Discount...Ch. 6 - Solve Simple Interest Applications In the...Ch. 6 - Solve Simple Interest Applications In the...Ch. 6 - Solve Simple Interest Applications In the...Ch. 6 - Solve Simple Interest Applications In the...Ch. 6 - Solve Simple Interest Applications In the...Ch. 6 - Solve Simple Interest Applications In the...Ch. 6 - Solve Simple Interest Applications In the...Ch. 6 - Solve Simple Interest Applications In the...Ch. 6 - Solve Proportions and their Applications In the...Ch. 6 - Solve Proportions and their Applications In the...Ch. 6 - Solve Proportions and their Applications In the...Ch. 6 - Solve Proportions and their Applications In the...Ch. 6 - Solve Proportions and their Applications In the...Ch. 6 - Solve Proportions and their Applications In the...Ch. 6 - Solve Proportions and their Applications In the...Ch. 6 - Solve Proportions and their Applications In the...Ch. 6 - Solve Proportions and their Applications In the...Ch. 6 - Solve Proportions and their Applications In the...Ch. 6 - Solve Proportions and their Applications In the...Ch. 6 - Solve Proportions and their Applications In the...Ch. 6 - Solve Proportions and their Applications In the...Ch. 6 - Solve Proportions and their Applications In the...Ch. 6 - Solve Proportions and their Applications In the...Ch. 6 - Solve Proportions and their Applications In the...Ch. 6 - Solve Proportions and their Applications In the...Ch. 6 - Solve Proportions and their Applications In the...Ch. 6 - Solve Proportions and their Applications In the...Ch. 6 - Solve Proportions and their Applications In the...Ch. 6 - Solve Proportions and their Applications In the...Ch. 6 - Solve Proportions and their Applications In the...Ch. 6 - Solve Proportions and their Applications In the...Ch. 6 - Solve Proportions and their Applications In the...Ch. 6 - Solve Proportions and their Applications In the...Ch. 6 - Solve Proportions and their Applications In the...Ch. 6 - PRACTICE TEST In the following exercises, convert...Ch. 6 - In the following exercises, convert each percent...Ch. 6 - PRACTICE TEST In the following exercises, convert...Ch. 6 - PRACTICE TEST In the following exercises, convert...Ch. 6 - PRACTICE TEST In the following exercises, convert...Ch. 6 - PRACTICE TEST In the following exercises, convert...Ch. 6 - PRACTICE TEST In the following exercises, solve...Ch. 6 - PRACTICE TEST In the following exercises, solve...Ch. 6 - PRACTICE TEST In the following exercises, solve...Ch. 6 - PRACTICE TEST In the following exercises, solve...Ch. 6 - PRACTICE TEST In the following exercises, solve...Ch. 6 - PRACTICE TEST In the following exercises, solve...Ch. 6 - 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