College Algebra & Trigonometry, 2018a

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1.9. RATIONAL EQUATIONS 79 26) x +2 x − 1 + x +4 x = 2x +1 x 2 − x 27) x x +2 + x +1 x 2 − 7x − 18 = 5 x − 9 28) 2a a +7 − a a +3 = 5 a 2 +10a +21 29) x − 1 2x +1 − 2x − 3 x +3 = 3 2x 2 +7x +3 30) y y +4 + 6 y +1 = y2 +4 y 2 +5y +4
80 CHAPTER 1. ALGEBRA REVIEW Addendum - Word Problems Following are a selection of word problems - some from ancient times, some from the Renaissance and Enlightenment, and some from the 19th and 20th century. 1) A teacher agreed to work 9 months for $562.50 and board. At the end of the term, on account of two months absence caused by illness, he received only $409.50 for his seven months work. If the teacher used all nine months of his board during the term, what was his board per month? (American 1892) 2) A servant is promised $100 plus a cloak as wages for a year. After seven months, he leaves and receives $20 plus the cloak. How much is the cloak worth? (Clavius, German 1608) 3) The sales tax on garments is 1 of their value. A certain man buys 42 garments, paying in copper coins. Two garments and 10 copper coins are paid as 20 tax. What is the price of a garment, O learned one? (Ancient India) 4) Two wine merchants enter Paris, one of them with 64 casks of wine, the other with 20 casks (all of the same value). Since they do not have enough money to pay the customs duties, the first pays 5 casks of wine and 40 francs, and the second pays 2 casks of wine and receives 40 francs change. What is the price of each cask of wine and what is the duty on each cask? (Chuquet, French 1484) 5) One of two men had 12 fish and the other had 13 fish, and all of the fish were of the same price. From the first man, a customs agent took away 1 fish and 12 denarii for payment. From the other man he took 2 fish and gave him back 7 denarii as change. Find the customs fee and the price of each fish. (Fibonacci, Italian 1202) 6) Two traders transporting sheepskins approach their country’s border. The first trader has 100 sheepskins and the border guard takes 10 sheepskins plus $25 as a tariff. The second trader has 42 sheepskins and for a tariff, the border guard takes 7 sheepskins but returns $14 change. What is the tariff per sheepskin and what is the value of each sheepskin?
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College Algebra & Trigonometry
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c○2018 Richard W. Beveridge This
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4 CONTENTS 2.4 Solution of Rational
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6 CONTENTS 8.2 The Trigonometric Ra
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8 CONTENTS
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10 CHAPTER 1. ALGEBRA REVIEW Exampl
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12 CHAPTER 1. ALGEBRA REVIEW 2(x +3
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14 CHAPTER 1. ALGEBRA REVIEW 1.2 Fa
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20 CHAPTER 1. ALGEBRA REVIEW (3x ?)
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24 CHAPTER 1. ALGEBRA REVIEW Differ
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130 CHAPTER 2. POLYNOMIAL AND RATIO
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140 CHAPTER 3. EXPONENTS AND LOGARI
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190 CHAPTER 4. FUNCTIONS by substit
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192 CHAPTER 4. FUNCTIONS 4.2 Domain
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194 CHAPTER 4. FUNCTIONS Exercises
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196 CHAPTER 4. FUNCTIONS 8) 12 10 8
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198 CHAPTER 4. FUNCTIONS We can use
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200 CHAPTER 4. FUNCTIONS 3) 20 16 1
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202 CHAPTER 4. FUNCTIONS Vertical S
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204 CHAPTER 4. FUNCTIONS Now, if, i
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206 CHAPTER 4. FUNCTIONS So the gra
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208 CHAPTER 4. FUNCTIONS Stretching
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210 CHAPTER 4. FUNCTIONS Multiplyin
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214 CHAPTER 4. FUNCTIONS 3) Match e
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216 CHAPTER 4. FUNCTIONS 6) f(x) 7)
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218 CHAPTER 4. FUNCTIONS Being fami
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222 CHAPTER 4. FUNCTIONS 4.6 Piecew
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226 CHAPTER 4. FUNCTIONS 4.7 Compos
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228 CHAPTER 4. FUNCTIONS 17) h(x) =
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230 CHAPTER 4. FUNCTIONS Original f
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232 CHAPTER 4. FUNCTIONS Then we sw
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234 CHAPTER 4. FUNCTIONS 19) f(x) =
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238 CHAPTER 4. FUNCTIONS 2) The gra
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242 CHAPTER 4. FUNCTIONS 8) A recta
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244 CHAPTER 4. FUNCTIONS So, our fi
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248 CHAPTER 4. FUNCTIONS Distance O
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250 CHAPTER 4. FUNCTIONS The graph
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252 CHAPTER 4. FUNCTIONS Distance/T
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254 CHAPTER 4. FUNCTIONS The graph
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256 CHAPTER 4. FUNCTIONS 3) A power
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258 CHAPTER 5. CONIC SECTIONS - CIR
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288 CHAPTER 6. SEQUENCES AND SERIES
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306 CHAPTER 7. COMBINATORICS differ
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308 CHAPTER 7. COMBINATORICS Exampl
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344 CHAPTER 8. RIGHT TRIANGLE TRIGO
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384 CHAPTER 9. GRAPHING THE TRIGONO
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438 CHAPTER 10. TRIGONOMETRIC IDENT
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472 CHAPTER 11. THE LAW OF SINES TH
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College Algebra & Trigonometry, 2018a

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