Intermediate Algebra
19th Edition
ISBN: 9780998625720
Author: Lynn Marecek
Publisher: OpenStax College
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Textbook Question
Chapter 8.4, Problem 207E
In the following exercises, multiply.
207.
a.
b.
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Chapter 8 Solutions
Intermediate Algebra
Ch. 8.1 - Simplify: (a) 64 (b) 225 .Ch. 8.1 - Simplify: (a) 100 (b) 121 .Ch. 8.1 - Simplify: (a) 169 (b) 81 .Ch. 8.1 - Simplify: (a) 49 (b) 121 .Ch. 8.1 - Simplify: (a) 273 (b) 2564 (c) 2435 .Ch. 8.1 - Simplify: (a) 10003 (b) 164 (c) 2435 .Ch. 8.1 - Simplify: (a) 273 (b) 2564 (c) 325 .Ch. 8.1 - Simplify: (a) 2163 (b) 814 (c) 10245 .Ch. 8.1 - Estimate each root between two consecutive whole...Ch. 8.1 - Estimate each root between two consecutive whole...
Ch. 8.1 - Round to two decimal places: (a) 11 (b) 713 (c)...Ch. 8.1 - Round to two decimal places: (a) 13 (b) 843 (c)...Ch. 8.1 - Simplify:(a) b2 (b) w33 (c) m44 (d) q55 .Ch. 8.1 - Simplify:(a) y2 (b) p33 (c) z44 (d) q55 .Ch. 8.1 - Simplify: (a) y18 (b) z12 .Ch. 8.1 - Simplify: (a) m4 (b) b10 .Ch. 8.1 - Simplify: (a) u124 (b) v153 .Ch. 8.1 - Simplify: (a) c205 (b) d246Ch. 8.1 - Simplify: (a) 64x2 (b) 100p2 .Ch. 8.1 - Simplify: (a) 169y2 (b) 121y2 .Ch. 8.1 - Simplify: (a) 27x273 (b) 81q284 .Ch. 8.1 - Simplify: (a) 125q93 (b) 243q255 .Ch. 8.1 - Simplify: (a) 100a2b2 (b) 144p12q20 (c) 8x30y123 .Ch. 8.1 - Simplify: (a) 225m2n2 (b) 169x10y14 (c) 27w36z153...Ch. 8.1 - In the following exercises, simplify. 1. (a) 64...Ch. 8.1 - In the following exercises, simplify. 2. (a) 169...Ch. 8.1 - In the following exercises, simplify. 3. (a) 196...Ch. 8.1 - In the following exercises, simplify. 4. (a) 144...Ch. 8.1 - In the following exercises, simplify. 5. (a) 49...Ch. 8.1 - In the following exercises, simplify. 6. (a) 64121...Ch. 8.1 - In the following exercises, simplify. 7. (a) 121...Ch. 8.1 - In the following exercises, simplify. 8. (a) 400...Ch. 8.1 - In the following exercises, simplify. 9. (a) 225...Ch. 8.1 - In the following exercises, simplify. 10. (a) 49...Ch. 8.1 - In the following exercises, simplify. 11. (a) 2163...Ch. 8.1 - In the following exercises, simplify. 12. (a) 273...Ch. 8.1 - In the following exercises, simplify. 13. (a) 5123...Ch. 8.1 - In the following exercises, simplify. 14. (a) 1253...Ch. 8.1 - In the following exercises, simplify. 15. (a) 83...Ch. 8.1 - In the following exercises, simplify. 16. (a) 643...Ch. 8.1 - In the following exercises, simplify. 17. (a) 1253...Ch. 8.1 - In the following exercises, simplify. 18. (a) 5123...Ch. 8.1 - In the following exercises, estimate each root...Ch. 8.1 - In the following exercises, estimate each root...Ch. 8.1 - In the following exercises, estimate each root...Ch. 8.1 - In the following exercises, estimate each root...Ch. 8.1 - In the following exercises, approximate each root...Ch. 8.1 - In the following exercises, approximate each root...Ch. 8.1 - In the following exercises, approximate each root...Ch. 8.1 - In the following exercises, approximate each root...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - In the following exercises, simplify using...Ch. 8.1 - Why is there no real number equal to 64 ?Ch. 8.1 - What is the difference between 92 and 9 ?Ch. 8.1 - Explain what is meant by the nthroot of a number.Ch. 8.1 - Explain the difference of finding the nthroot of a...Ch. 8.2 - Simplify: 48 .Ch. 8.2 - Simplify: 45 .Ch. 8.2 - Simplify: (a) 288 (b) 813 (c) 644 .Ch. 8.2 - Simplify: (a) 432 (b) 6253 (c) 7294 .Ch. 8.2 - Simplify: (a) b5 (b) y64 (c) z53 .Ch. 8.2 - Simplify: (a) p9 (b) y85 (c) q136 .Ch. 8.2 - Simplify: (a) 32y5 (b) 54p103 (c) 64q104 .Ch. 8.2 - Simplify: (a) 75a9 (b) 128m113 (c) 162n74 .Ch. 8.2 - Simplify: (a) 98a7b5 (b) 56x5y43 (c) 32x5y84 .Ch. 8.2 - Simplify: (a) 180m9n11 (b) 72x6y53 (c) 80x7y44 .Ch. 8.2 - Simplify: (a) 643 (b) 814 .Ch. 8.2 - Simplify: (a) 6253 (b) 3244 .Ch. 8.2 - Simplify: (a) 5+75 (b) 10755 .Ch. 8.2 - Simplify: (a) 2+98 (b) 6453 .Ch. 8.2 - Simplify: (a) 7548(b) 542503(c) 321624.Ch. 8.2 - Simplify: (a) 98162 (b) 243753 (c) 43244 .Ch. 8.2 - Simplify: (a) a8a6 (b) x7x34 (c) y 17y54 .Ch. 8.2 - Simplify: (a) x 14x 10 (b) m 13m73 (c) n 12n25 .Ch. 8.2 - Simplify: 24p349 .Ch. 8.2 - Simplify: 48x5100 .Ch. 8.2 - Simplify: (a) 80m3n6 (b) 108c 10d63 (c) 80x 10y44...Ch. 8.2 - Simplify: (a) 54u7v8 (b) 40r3s63 (c) 162m 14n 124...Ch. 8.2 - Simplify: (a) 54x5y372x4y (b) 16x5y754x2y23 (c)...Ch. 8.2 - Simplify: (a) 48m7n2100m5n8 (b) 54x7y5250x2y23 (c)...Ch. 8.2 - Simplify: (a) 98z52z (b) 500323 (c) 486m 1143m54 .Ch. 8.2 - Simplify: (a) 128m92m (b) 192333 (c) 324n742n34 .Ch. 8.2 - In the following exercises, use the Product...Ch. 8.2 - In the following exercises, use the Product...Ch. 8.2 - In the following exercises, use the Product...Ch. 8.2 - In the following exercises, use the Product...Ch. 8.2 - In the following exercises, use the Product...Ch. 8.2 - In the following exercises, use the Product...Ch. 8.2 - In the following exercises, use the Product...Ch. 8.2 - In the following exercises, use the Product...Ch. 8.2 - In the following exercises, use the Product...Ch. 8.2 - In the following exercises, use the Product...Ch. 8.2 - In the following exercises, use the Product...Ch. 8.2 - In the following exercises, use the Product...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, simplify using...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - In the following exercises, use the Quotient...Ch. 8.2 - Explain why x4=x2 . Then explain why x16=x8 .Ch. 8.2 - Explain why 7+9 is not equal to 7+9 .Ch. 8.2 - Explain how you know that x105=x2 .Ch. 8.2 - Explain why 644 is not a real number but 643 is.Ch. 8.3 - Write as a radical expression: (a) t12 (b) m13 (c)...Ch. 8.3 - Write as a radical expression: (a) b16 (b) z15 (c)...Ch. 8.3 - Write with a rational exponent: (a) 10m (b) 3n5...Ch. 8.3 - Write with a rational exponent: (a) 3k7 (b) 5j4...Ch. 8.3 - Simplify: (a) 3612 (b) 813 (c) 1614 .Ch. 8.3 - Simplify: (a) 10012 (b) 2713 (c) 8114 .Ch. 8.3 - Simplify: (a) (64)12 (b) 6412 (c) (64)12 .Ch. 8.3 - Simplify: (a) (256)14 (b) 25614 (c) (256)14 .Ch. 8.3 - Write with a rational exponent: (a) x5 (b) ( 3y4)3...Ch. 8.3 - Write with a rational exponent: (a) a25 (b) (...Ch. 8.3 - Simplify: (a) 2723 (b) 8132 (c) 1634 .Ch. 8.3 - Simplify: (a) 432 (b) 2723 (c) 62534 .Ch. 8.3 - Simplify: (a) 1632 (b) 1632 (c) (16)32 .Ch. 8.3 - Simplify: (a) 8132 (b) 8132 (c) (81)32 .Ch. 8.3 - Simplify: (a) x16x13 (b) (x6)43 (c) x23x53 .Ch. 8.3 - Simplify: (a) y34y58 (b) (m9)29 (c) d15d65 .Ch. 8.3 - Simplify: (a) (32x 1 3 )35 (b) (x 3 4 y 1 2 )23 .Ch. 8.3 - Simplify: (a) (81n 2 5 )32 (b) (a 3 2 b 1 2 )43 .Ch. 8.3 - Simplify: (a) m23m13m53 (b) ( 25 m 1 6 n 11 6 m 2...Ch. 8.3 - Simplify: (a) u45u25u 135 (b) ( 27 x 4 5 y 1 6 x 1...Ch. 8.3 - In the following exercises, write as a radical...Ch. 8.3 - In the following exercises, write as a radical...Ch. 8.3 - In the following exercises, write as a radical...Ch. 8.3 - In the following exercises, write as a radical...Ch. 8.3 - In the following exercises, write with a rational...Ch. 8.3 - In the following exercises, write with a rational...Ch. 8.3 - In the following exercises, write with a rational...Ch. 8.3 - In the following exercises, write with a rational...Ch. 8.3 - In the following exercises, write with a rational...Ch. 8.3 - In the following exercises, write with a rational...Ch. 8.3 - In the following exercises, simplify. 129. (a)...Ch. 8.3 - In the following exercises, simplify. 130. (a)...Ch. 8.3 - In the following exercises, simplify. 131. (a)...Ch. 8.3 - In the following exercises, simplify. 132. (a)...Ch. 8.3 - In the following exercises, simplify. 133. (a)...Ch. 8.3 - In the following exercises, simplify. 134. (a)...Ch. 8.3 - In the following exercises, simplify. 135. (a)...Ch. 8.3 - In the following exercises, simplify. 136. (a)...Ch. 8.3 - In the following exercises, simplify. 137. (a)...Ch. 8.3 - In the following exercises, simplify. 138. (a)...Ch. 8.3 - In the following exercises, simplify. 139. (a)...Ch. 8.3 - In the following exercises, simplify. 140. (a)...Ch. 8.3 - In the following exercises, write with a rational...Ch. 8.3 - In the following exercises, write with a rational...Ch. 8.3 - In the following exercises, write with a rational...Ch. 8.3 - In the following exercises, write with a rational...Ch. 8.3 - In the following exercises, simplify. 145. (a)...Ch. 8.3 - In the following exercises, simplify. 146. (a)...Ch. 8.3 - In the following exercises, simplify. 147. (a)...Ch. 8.3 - In the following exercises, simplify. 148. (a)...Ch. 8.3 - In the following exercises, simplify. 149. (a) 932...Ch. 8.3 - In the following exercises, simplify. 150. (a)...Ch. 8.3 - In the following exercises, simplify. 151. (a)...Ch. 8.3 - In the following exercises, simplify. 152. (a)...Ch. 8.3 - In the following exercises, simplify. 153. (a)...Ch. 8.3 - In the following exercises, simplify. 154. (a)...Ch. 8.3 - In the following exercises, simplify. 155. (a)...Ch. 8.3 - In the following exercises, simplify. 156. (a)...Ch. 8.3 - In the following exercises, simplify. 157. (a)...Ch. 8.3 - In the following exercises, simplify. 158. (a)...Ch. 8.3 - In the following exercises, simplify. 159. (a)...Ch. 8.3 - In the following exercises, simplify. 160. (a)...Ch. 8.3 - In the following exercises, simplify. 161. (a)...Ch. 8.3 - In the following exercises, simplify. 162. (a)...Ch. 8.3 - Show two different algebraic methods to simplify...Ch. 8.3 - Explain why the expression (16)32 cannot be...Ch. 8.4 - Simplify: (a) 8292 (b) 4x3+7x3 (c) 3x45y4.Ch. 8.4 - Simplify: (a) 5393 (b) 5y3+3y3 (c) 5m42m3.Ch. 8.4 - Simplify: (a) 7x77x+47x (b) 45xy4+25xy475xy4.Ch. 8.4 - Simplify: (a) 43y73y+23y (b) 67mn3+7mn347mn3.Ch. 8.4 - Simplify: (a) 18+62 (b) 616322503 (c) 2381312243.Ch. 8.4 - Simplify: (a) 27+43 (b) 4537403 (c) 12128353543.Ch. 8.4 - Simplify: (a) 32m750m7 (b) 135x7340x73.Ch. 8.4 - Simplify: (a) 27p348p3 (b) 256y5332n53.Ch. 8.4 - Simplify: (a) (32)(230) (b) (2183)(363).Ch. 8.4 - Simplify: (a) (33)(36) (b) (493)(363).Ch. 8.4 - Simplify: (a) (66x2)(830x4) (b) (412y34)(8y34).Ch. 8.4 - Simplify: (a) (26y4)(1230y) (b) (49a34)(327a24).Ch. 8.4 - Simplify: (a) 16(1+36) (b) 43(263).Ch. 8.4 - Simplify: a. 8(258) b. 33(39363).Ch. 8.4 - Simplify: (a) (637)(3+47) (b) (x32)(x33).Ch. 8.4 - Simplify: (a) (2311)(411) (b) (x3+)(x3+3).Ch. 8.4 - Simplify: (537)(3+27)Ch. 8.4 - Simplify: (638)(26+8)Ch. 8.4 - Simplify: (a) (10+2)2 (b) (1+36)2.Ch. 8.4 - Simplify: (a) (65)2 (b) (92 10)2.Ch. 8.4 - Simplify: (325)(3+25)Ch. 8.4 - Simplify: (4+57)(457).Ch. 8.4 - In the following exercises, simplify. 165. a. 8252...Ch. 8.4 - In the following exercises, simplify. 166. a. 7232...Ch. 8.4 - In the following exercises, simplify. 167. a....Ch. 8.4 - In the following exercises, simplify. 168. a....Ch. 8.4 - In the following exercises, simplify. 169. a....Ch. 8.4 - In the following exercises, simplify. 170. a....Ch. 8.4 - In the following exercises, simplify. 171. a....Ch. 8.4 - In the following exercises, simplify. 172. a....Ch. 8.4 - In the following exercises, simplify. 173. a. 2775...Ch. 8.4 - In the following exercises, simplify. 174. a. 7298...Ch. 8.4 - In the following exercises, simplify. 175. a....Ch. 8.4 - In the following exercises, simplify. 176. a....Ch. 8.4 - In the following exercises, simplify. 177. a....Ch. 8.4 - In the following exercises, simplify. 178. a....Ch. 8.4 - In the following exercises, simplify. 179. a....Ch. 8.4 - Prob. 180ECh. 8.4 - Prob. 181ECh. 8.4 - Prob. 182ECh. 8.4 - Prob. 183ECh. 8.4 - In the following exercises, simplify. 184. a....Ch. 8.4 - In the following exercises, simplify. 185. a....Ch. 8.4 - In the following exercises, simplify. 186. a....Ch. 8.4 - In the following exercises, simplify. 187. a....Ch. 8.4 - In the following exercises, simplify. 188. a....Ch. 8.4 - In the following exercises, simplify. 189. a....Ch. 8.4 - In the following exercises, simplify. 190. a....Ch. 8.4 - In the following exercises, multiply. 191. a....Ch. 8.4 - In the following exercises, multiply. 192. a....Ch. 8.4 - In the following exercises, multiply. 193. a....Ch. 8.4 - In the following exercises, multiply. 194. a....Ch. 8.4 - In the following exercises, multiply. 195....Ch. 8.4 - In the following exercises, multiply. 196....Ch. 8.4 - In the following exercises, multiply. 197. a....Ch. 8.4 - In the following exercises, multiply. 198. a....Ch. 8.4 - In the following exercises, multiply. 199. a....Ch. 8.4 - In the following exercises, multiply. 200. a....Ch. 8.4 - In the following exercises, multiply. 201....Ch. 8.4 - In the following exercises, multiply. 202....Ch. 8.4 - In the following exercises, multiply. 203....Ch. 8.4 - In the following exercises, multiply. 204....Ch. 8.4 - In the following exercises, multiply. 205. a....Ch. 8.4 - In the following exercises, multiply. 206. a. (4+...Ch. 8.4 - In the following exercises, multiply. 207. a....Ch. 8.4 - In the following exercises, multiply. 208. a. (5...Ch. 8.4 - In the following exercises, multiply. 209....Ch. 8.4 - In the following exercises, multiply. 210....Ch. 8.4 - In the following exercises, multiply. 211....Ch. 8.4 - In the following exercises, multiply. 212....Ch. 8.4 - In the following exercises, multiply. 213....Ch. 8.4 - In the following exercises, multiply. 214....Ch. 8.4 - In the following exercises, multiply. 215....Ch. 8.4 - In the following exercises, multiply. 216....Ch. 8.4 - 2327+3448Ch. 8.4 - 175k463k4Ch. 8.4 - 56162+316128Ch. 8.4 - 243+/813Ch. 8.4 - 12804234054Ch. 8.4 - 813441343134Ch. 8.4 - 512c4327c6Ch. 8.4 - 80a545a5Ch. 8.4 - 35751448Ch. 8.4 - 2193293Ch. 8.4 - 864q633125q63Ch. 8.4 - 11111011Ch. 8.4 - 321Ch. 8.4 - (46)(18)Ch. 8.4 - (743)(3183)Ch. 8.4 - (412x5)(26x3)Ch. 8.4 - ( 29)2Ch. 8.4 - (417)(317)Ch. 8.4 - (4+17)(3+17)Ch. 8.4 - (38a24)(12a34)Ch. 8.4 - (632)2Ch. 8.4 - 3(433)Ch. 8.4 - 33(293+183)Ch. 8.4 - (6+3)(6+63)Ch. 8.4 - Explain the when a radical expression is in...Ch. 8.4 - Explain the process for determining whether two...Ch. 8.4 - Explain why (n)2 is always non-negative, for n0....Ch. 8.4 - Use the binomial square pattern to simplify...Ch. 8.5 - Simplify: (a) 50s3128s (b) 56a37a43.Ch. 8.5 - Simplify: (a) 75q5108q (b) 72b239b53.Ch. 8.5 - Simplify: (a) 162x 10y22x6y6 (b) 128x2y 132x 1y23.Ch. 8.5 - Simplify: (a) 300m3n73m5n (b) 81pq 133p 2q53.Ch. 8.5 - Simplify: 64x4y52xy3.Ch. 8.5 - Simplify: 96a5b42a3b.Ch. 8.5 - Simplify: (a) 513 (b) 332 (c) 22x.Ch. 8.5 - Simplify: (a) 65 (b) 718 (c) 55x.Ch. 8.5 - Simplify: (a) 173 (b) 5123 (c) 59y3.Ch. 8.5 - Simplify: (a) 123 (b) 3203 (c) 225n3.Ch. 8.5 - Simplify: (a) 134 (b) 3644 (c) 3125x4.Ch. 8.5 - Simplify: (a) 154 (b) 71284 (c) 44x4Ch. 8.5 - Simplify: 315.Ch. 8.5 - Simplify: 246.Ch. 8.5 - Simplify: 5x+2.Ch. 8.5 - Simplify: 10y3.Ch. 8.5 - Simplify: p+2p2.Ch. 8.5 - Simplify: q10q+10Ch. 8.5 - In the following exercises, simplify. 245. a....Ch. 8.5 - In the following exercises, simplify. 246. a. 4875...Ch. 8.5 - In the following exercises, simplify. 247. a....Ch. 8.5 - In the following exercises, simplify. 248. a....Ch. 8.5 - In the following exercises, simplify. 249. a....Ch. 8.5 - In the following exercises, simplify. 250. a....Ch. 8.5 - In the following exercises, simplify. 251. a....Ch. 8.5 - In the following exercises, simplify. 252. a. 98rs...Ch. 8.5 - In the following exercises, simplify. 253. a....Ch. 8.5 - In the following exercises, simplify. 254. a. 810c...Ch. 8.5 - In the following exercises, simplify. 255....Ch. 8.5 - In the following exercises, simplify. 256....Ch. 8.5 - In the following exercises, simplify. 257....Ch. 8.5 - In the following exercises, simplify. 258. 162x...Ch. 8.5 - In the following exercises, rationalize the...Ch. 8.5 - In the following exercises, rationalize the...Ch. 8.5 - In the following exercises, rationalize the...Ch. 8.5 - In the following exercises, rationalize the...Ch. 8.5 - In the following exercises, rationalize the...Ch. 8.5 - In the following exercises, rationalize the...Ch. 8.5 - In the following exercises, rationalize the...Ch. 8.5 - In the following exercises, rationalize the...Ch. 8.5 - In the following exercises, rationalize the...Ch. 8.5 - In the following exercises, rationalize the...Ch. 8.5 - In the following exercises, rationalize the...Ch. 8.5 - In the following exercises, rationalize the...Ch. 8.5 - In the following exercises, simplify. 271. 815Ch. 8.5 - In the following exercises, simplify. 272. 726Ch. 8.5 - In the following exercises, simplify. 273. 637Ch. 8.5 - In the following exercises, simplify. 274. 5411Ch. 8.5 - In the following exercises, simplify. 275. 3m5Ch. 8.5 - In the following exercises, simplify. 276. 5n7Ch. 8.5 - In the following exercises, simplify. 277. 2x6Ch. 8.5 - In the following exercises, simplify. 278. 7y+3Ch. 8.5 - In the following exercises, simplify. 279. r+5r5Ch. 8.5 - In the following exercises, simplify. 280. s6s+6Ch. 8.5 - In the following exercises, simplify. 281. x+8x8Ch. 8.5 - In the following exercises, simplify. 282. m3m+3Ch. 8.5 - a. Simplify 273 and explain all your steps. b....Ch. 8.5 - Explain what is meant by the word rationalize in...Ch. 8.5 - Explain why multiplying 2x3 by its conjugate...Ch. 8.5 - Explain why multiplying 7x3 by x3x3 does not...Ch. 8.6 - Solve: 3m+25=0.Ch. 8.6 - Solve: 10z+12=0.Ch. 8.6 - Solve: 2r3+5=0.Ch. 8.6 - Solve: 7s3+2=0.Ch. 8.6 - Solve: x2+2=x.Ch. 8.6 - Solve: y5+5=y.Ch. 8.6 - Solve: 4x33+8=5Ch. 8.6 - Solve: 6x103+1=3Ch. 8.6 - Solve: (9x+9)142=1.Ch. 8.6 - Solve: (4x8)14+5=7.Ch. 8.6 - Solve: m+9m+3=0.Ch. 8.6 - Solve: n+1n+1=0.Ch. 8.6 - Solve: 24a+416=16.Ch. 8.6 - Solve: 32b+325=50.Ch. 8.6 - Solve: 5x43=2x+53.Ch. 8.6 - Solve: 7x+13=2x53.Ch. 8.6 - Solve: 3x=x3.Ch. 8.6 - Solve: x+2=x+16.Ch. 8.6 - Solve: x1+2=2x+6Ch. 8.6 - Solve: x+2=3x+4Ch. 8.6 - A helicopter dropped a rescue package from a...Ch. 8.6 - A window washer dropped a squeegee from a platform...Ch. 8.6 - An accident investigator measured the skid marks...Ch. 8.6 - The skid marks of a vehicle involved in an...Ch. 8.6 - In the following exercises, solve. 287. 5x6=8Ch. 8.6 - In the following exercises, solve. 288. 4x3=7Ch. 8.6 - In the following exercises, solve. 289. 5x+1=3Ch. 8.6 - In the following exercises, solve. 290. 3y4=2Ch. 8.6 - In the following exercises, solve. 291. 2x3=2Ch. 8.6 - In the following exercises, solve. 292. 4x13=3Ch. 8.6 - In the following exercises, solve. 293. 2m35=0Ch. 8.6 - In the following exercises, solve. 294. 2n13=0Ch. 8.6 - In the following exercises, solve. 295. 6v210=0Ch. 8.6 - In the following exercises, solve. 296. 12u+111=0Ch. 8.6 - In the following exercises, solve. 297. 4m+2+2=6Ch. 8.6 - In the following exercises, solve. 298. 6n+1+4=8Ch. 8.6 - In the following exercises, solve. 299. 2u3+2=0Ch. 8.6 - In the following exercises, solve. 300. 5v2+5=0Ch. 8.6 - In the following exercises, solve. 301. u33=uCh. 8.6 - In the following exercises, solve. 302. v10+10=vCh. 8.6 - In the following exercises, solve. 303. r1=r1Ch. 8.6 - In the following exercises, solve. 304. s8=s8Ch. 8.6 - In the following exercises, solve. 305. 6x+43=4Ch. 8.6 - In the following exercises, solve. 306. 11x+43=5Ch. 8.6 - In the following exercises, solve. 307. 4x+532=5Ch. 8.6 - In the following exercises, solve. 308. 9x131=5Ch. 8.6 - In the following exercises, solve. 309....Ch. 8.6 - In the following exercises, solve. 310....Ch. 8.6 - In the following exercises, solve. 311....Ch. 8.6 - In the following exercises, solve. 312....Ch. 8.6 - In the following exercises, solve. 313....Ch. 8.6 - In the following exercises, solve. 314....Ch. 8.6 - In the following exercises, solve. 315. x+1x+1=0Ch. 8.6 - In the following exercises, solve. 316. y+4y+2=0Ch. 8.6 - In the following exercises, solve. 317. z+100z=10Ch. 8.6 - In the following exercises, solve. 318. w+25w=5Ch. 8.6 - In the following exercises, solve. 319. 32x320=7Ch. 8.6 - In the following exercises, solve. 320. 25x+18=0Ch. 8.6 - In the following exercises, solve. 321. 28r+18=2Ch. 8.6 - In the following exercises, solve. 322. 37y+110=8Ch. 8.6 - In the following exercises, solve. 323. 3u+7=5u+1Ch. 8.6 - In the following exercises, solve. 324. 4v+1=3v+3Ch. 8.6 - In the following exercises, solve. 325. 8+2r=3r+10Ch. 8.6 - In the following exercises, solve. 326....Ch. 8.6 - In the following exercises, solve. 327. 5x13=x+33Ch. 8.6 - In the following exercises, solve. 328. 8x53=3x+53Ch. 8.6 - In the following exercises, solve. 329....Ch. 8.6 - In the following exercises, solve. 330....Ch. 8.6 - In the following exercises, solve. 331. a+2=a+4Ch. 8.6 - In the following exercises, solve. 332. r+6=r+8Ch. 8.6 - In the following exercises, solve. 333. u+1=u+4Ch. 8.6 - In the following exercises, solve. 334. x+1=x+2Ch. 8.6 - In the following exercises, solve. 335. a+5a=1Ch. 8.6 - In the following exercises, solve. 336. 2=d20dCh. 8.6 - In the following exercises, solve. 337. 2x+1=1+xCh. 8.6 - In the following exercises, solve. 338. 3x+1=1+2x1Ch. 8.6 - In the following exercises, solve. 339. 2x1x1=1Ch. 8.6 - In the following exercises, solve. 340. x+1x2=1Ch. 8.6 - In the following exercises, solve. 341. x+7x5=2Ch. 8.6 - In the following exercises, solve. 342. x+5x3=2Ch. 8.6 - In the following exercises, solve. Round...Ch. 8.6 - In the following exercises, solve. Round...Ch. 8.6 - In the following exercises, solve. Round...Ch. 8.6 - In the following exercises, solve. Round...Ch. 8.6 - In the following exercises, solve. Round...Ch. 8.6 - In the following exercises, solve. Round...Ch. 8.6 - Explain why an equation of the form x+1=0 has no...Ch. 8.6 - a. Solve the equation r+4r+2=0. b. Explain why one...Ch. 8.7 - For the function f(x)=3x2, find a. f(6) b. f(0).Ch. 8.7 - For the function g(x)=5x+5, find a. g(4) b. g(3).Ch. 8.7 - For the function g(x)=3x43, find a. g(4) b. g(1).Ch. 8.7 - For the function h(x)=5x23, find a. h(2) b. h(5)....Ch. 8.7 - For the function f(x)=3x+44, find a. f(4) b. f(1).Ch. 8.7 - For the function g(x)=5x+14, find a. g(16) b....Ch. 8.7 - Find the domain of the function, f(x)=6x5, write...Ch. 8.7 - Find the domain of the function, f(x)45x. Write...Ch. 8.7 - Find the domain of the function, f(x)=4x+3. Write...Ch. 8.7 - Find the domain of the function, h(x)=9x5. Write...Ch. 8.7 - Find the domain of the function, f(x)=3x213. Write...Ch. 8.7 - Find the domain of the function, g(x)=5x43. Write...Ch. 8.7 - For the function f(x)=x+2, (a) find the domain (b)...Ch. 8.7 - For the function f(x)=x2 , (a) find the domain (b)...Ch. 8.7 - For the function f(x)=x3, find the domain (b)...Ch. 8.7 - For the function f(x)=x23, find the domain (b)...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - In the following exercises, evaluate each...Ch. 8.7 - In the following exercises, find the domain of the...Ch. 8.7 - In the following exercises, find the domain of the...Ch. 8.7 - In the following exercises, find the domain of the...Ch. 8.7 - In the following exercises, find the domain of the...Ch. 8.7 - In the following exercises, find the domain of the...Ch. 8.7 - In the following exercises, find the domain of the...Ch. 8.7 - In the following exercises, find the domain of the...Ch. 8.7 - In the following exercises, find the domain of the...Ch. 8.7 - In the following exercises, find the domain of the...Ch. 8.7 - In the following exercises, find the domain of the...Ch. 8.7 - In the following exercises, find the domain of the...Ch. 8.7 - In the following exercises, find the domain of the...Ch. 8.7 - In the following exercises, find the domain of the...Ch. 8.7 - In the following exercises, find the domain of the...Ch. 8.7 - In the following exercises, find the domain of the...Ch. 8.7 - In the following exercises, find the domain of the...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - In the following exercises, find the domain of...Ch. 8.7 - Explain how to find the domain of a fourth root...Ch. 8.7 - Explain how to find the domain of a fifth root...Ch. 8.7 - Explain why y=x3 is a function.Ch. 8.7 - Explain why the process of finding the domain of a...Ch. 8.8 - Write each expression in terms of i and simplify...Ch. 8.8 - Write each expression in term of i and simplify if...Ch. 8.8 - Add: 8+32.Ch. 8.8 - Add: 27+48.Ch. 8.8 - Simplify: (a) (2+7i)+(42i) (b) (84i)(2i).Ch. 8.8 - Simplify: (a) (32i)+(54i) (b) (4+3i)(26i).Ch. 8.8 - Multiply: 4i(53i).Ch. 8.8 - Multiply: 3i(2+4i).Ch. 8.8 - Multiply: (53i)(12i)Ch. 8.8 - Multiply: (43i)(2+i)Ch. 8.8 - Multiply using the Binomial Squares pattern:...Ch. 8.8 - Multiply using the Binomial Squares pattern:...Ch. 8.8 - Multiply: 494.Ch. 8.8 - Multiply: 3681.Ch. 8.8 - Multiply: (412)(348).Ch. 8.8 - Multiply: (2+8)(318).Ch. 8.8 - Multiply: (43i)(4+3i).Ch. 8.8 - Multiply: (2+5i)(25i).Ch. 8.8 - Multiply using the Product of Complex Conjugates...Ch. 8.8 - Multiply using the Product of Complex Conjugates...Ch. 8.8 - Divide: 2+5i52i.Ch. 8.8 - Divide: 1+6i6i.Ch. 8.8 - Divide, writing the answer in standard form: 414i.Ch. 8.8 - Divide writing the answer in standard form: 21+2i.Ch. 8.8 - Divide: 3+3i2i.Ch. 8.8 - Divide: 2+4i5i.Ch. 8.8 - Simplify: i75.Ch. 8.8 - Simplify: i92.Ch. 8.8 - In the following exercises, write each expression...Ch. 8.8 - In the following exercises, write each expression...Ch. 8.8 - In the following exercises, write each expression...Ch. 8.8 - In the following exercises, write each expression...Ch. 8.8 - In the following exercises, add or subtract. 413....Ch. 8.8 - In the following exercises, add or subtract. 414....Ch. 8.8 - In the following exercises, add or subtract. 415....Ch. 8.8 - In the following exercises, add or subtract. 416....Ch. 8.8 - In the following exercises, add or subtract. 417....Ch. 8.8 - In the following exercises, add or subtract. 418....Ch. 8.8 - In the following exercises, add or subtract. 419....Ch. 8.8 - In the following exercises, add or subtract. 420....Ch. 8.8 - In the following exercises, add or subtract. 421....Ch. 8.8 - In the following exercises, add or subtract. 422....Ch. 8.8 - In the following exercises, add or subtract. 423....Ch. 8.8 - In the following exercises, add or subtract. 424....Ch. 8.8 - In the following exercises, add or subtract. 425....Ch. 8.8 - In the following exercises, add or subtract. 426....Ch. 8.8 - In the following exercises, add or subtract. 427....Ch. 8.8 - In the following exercises, add or subtract. 428....Ch. 8.8 - In the following exercises, multiply. 429. 4i(53i)Ch. 8.8 - In the following exercises, multiply. 430....Ch. 8.8 - In the following exercises, multiply. 431. 6i(32i)Ch. 8.8 - In the following exercises, multiply. 432. i(6+5i)Ch. 8.8 - In the following exercises, multiply. 433....Ch. 8.8 - In the following exercises, multiply. 434....Ch. 8.8 - In the following exercises, multiply. 435....Ch. 8.8 - In the following exercises, multiply. 436....Ch. 8.8 - In the following exercises, multiply using the...Ch. 8.8 - In the following exercises, multiply using the...Ch. 8.8 - In the following exercises, multiply using the...Ch. 8.8 - In the following exercises, multiply using the...Ch. 8.8 - In the following exercises, multiply. 441. 2536Ch. 8.8 - In the following exercises, multiply. 442. 416Ch. 8.8 - In the following exercises, multiply. 443. 9100Ch. 8.8 - In the following exercises, multiply. 444. 649Ch. 8.8 - In the following exercises, multiply. 445....Ch. 8.8 - In the following exercises, multiply. 446....Ch. 8.8 - In the following exercises, multiply. 447....Ch. 8.8 - In the following exercises, multiply. 448....Ch. 8.8 - In the following exercises, multiply. 449....Ch. 8.8 - In the following exercises, multiply. 450....Ch. 8.8 - In the following exercises, multiply. 451....Ch. 8.8 - In the following exercises, multiply. 452....Ch. 8.8 - In the following exercises, multiply using the...Ch. 8.8 - In the following exercises, multiply using the...Ch. 8.8 - In the following exercises, multiply using the...Ch. 8.8 - In the following exercises, multiply using the...Ch. 8.8 - In the following exercises, divide. 457. 3+4i43iCh. 8.8 - In the following exercises, divide. 458. 52i2+5iCh. 8.8 - In the following exercises, divide. 459. 2+i34iCh. 8.8 - In the following exercises, divide. 460. 32i6+iCh. 8.8 - In the following exercises, divide. 461. 323iCh. 8.8 - In the following exercises, divide. 462. 245iCh. 8.8 - In the following exercises, divide. 463. 432iCh. 8.8 - In the following exercises, divide. 464. 13+2iCh. 8.8 - In the following exercises, divide. 465. 1+4i3iCh. 8.8 - In the following exercises, divide. 466. 4+3i7iCh. 8.8 - In the following exercises, divide. 467. 23i4iCh. 8.8 - In the following exercises, divide. 468. 35i2iCh. 8.8 - In the following exercises, simplify. 469. i41Ch. 8.8 - In the following exercises, simplify. 470. i39Ch. 8.8 - In the following exercises, simplify. 471. i66Ch. 8.8 - In the following exercises, simplify. 472. i48Ch. 8.8 - In the following exercises, simplify. 473. i128Ch. 8.8 - In the following exercises, simplify. 474. i162Ch. 8.8 - In the following exercises, simplify. 475. i137Ch. 8.8 - In the following exercises, simplify. 476. i255Ch. 8.8 - Explain the relationship between real numbers and...Ch. 8.8 - Aniket multiplied as follows and he got the wrong...Ch. 8.8 - Why is 64=8i but 643=4.Ch. 8.8 - Explain how dividing complex numbers is similar to...Ch. 8 - In the following exercises, simplify. 481. a. 225...Ch. 8 - In the following exercises, simplify. 482. a. 169...Ch. 8 - In the following exercises, simplify. 483. a. 83...Ch. 8 - In the following exercises, simplify. 484. a. 5123...Ch. 8 - In the following exercises, estimate each root...Ch. 8 - In the following exercises, approximate each root...Ch. 8 - In the following exercises, simplify using...Ch. 8 - In the following exercises, simplify using...Ch. 8 - In the following exercises, simplify using...Ch. 8 - In the following exercises, simplify using...Ch. 8 - In the following exercises, simplify using...Ch. 8 - In the following exercises, simplify using...Ch. 8 - In the following exercises, use the Product...Ch. 8 - In the following exercises, use the Product...Ch. 8 - In the following exercises, use the Product...Ch. 8 - In the following exercises, simplify using...Ch. 8 - In the following exercises, simplify using...Ch. 8 - In the following exercises, simplify using...Ch. 8 - In the following exercises, simplify using...Ch. 8 - In the following exercises, simplify using...Ch. 8 - In the following exercise, use the Quotient...Ch. 8 - In the following exercise, use the Quotient...Ch. 8 - In the following exercise, use the Quotient...Ch. 8 - In the following exercise, use the Quotient...Ch. 8 - In the following exercise, use the Quotient...Ch. 8 - In the following exercise, use the Quotient...Ch. 8 - In the following exercises, write as a radical...Ch. 8 - In the following exercises, write with a rational...Ch. 8 - In the following exercises, simplify. 509. a....Ch. 8 - In the following exercises, simplify. 510. a....Ch. 8 - In the following exercises, simplify. 511. a....Ch. 8 - In the following exercises, write with a rational...Ch. 8 - In the following exercises, simplify. 513. a. 2532...Ch. 8 - In the following exercises, simplify. 514. a. 6432...Ch. 8 - In the following exercises, simplify. 515. a....Ch. 8 - In the following exercises, simplify. 516. a....Ch. 8 - In the following exercises, simplify. 517. a. 7232...Ch. 8 - In the following exercises, simplify. 518. a....Ch. 8 - In the following exercises, simplify. 519. a....Ch. 8 - In the following exercises, simplify. 520. a....Ch. 8 - In the following exercises, simplify. 521....Ch. 8 - In the following exercises, simplify. 522. a....Ch. 8 - In the following exercises, simplify. 523. a....Ch. 8 - In the following exercises, multiply. 524. a....Ch. 8 - In the following exercises, multiply. 525. a....Ch. 8 - In the following exercises, multiply. 526....Ch. 8 - In the following exercises, multiply. 527. a. (4+...Ch. 8 - In the following exercises, multiply. 528....Ch. 8 - In the following exercises, multiply. 529....Ch. 8 - In the following exercises, simplify. 530. a. 4875...Ch. 8 - In the following exercises, simplify. 531. a....Ch. 8 - In the following exercises, rationalize the...Ch. 8 - In the following exercises, rationalize the...Ch. 8 - In the following exercises, rationalize the...Ch. 8 - In the following exercises, simplify. 535. 726Ch. 8 - In the following exercises, simplify. 536. 5n7Ch. 8 - In the following exercises, simplify. 537. x+8x8Ch. 8 - In the following exercises, solve. 538. 4x3=7Ch. 8 - In the following exercises, solve. 539. 5x+1=3Ch. 8 - In the following exercises, solve. 540. 4x13=3Ch. 8 - In the following exercises, solve. 541. u3+3=uCh. 8 - In the following exercises, solve. 542. 4x+532=5Ch. 8 - In the following exercises, solve. 543....Ch. 8 - In the following exercises, solve. 544. y+4y+2=0Ch. 8 - In the following exercises, solve. 545. 28r+18=2Ch. 8 - In the following exercises, solve. 546....Ch. 8 - In the following exercises, solve. 547....Ch. 8 - In the following exercises, solve. 548. r+6=r+8Ch. 8 - In the following exercises, solve. 549. x+1x2=1Ch. 8 - In the following exercises, solve. Round...Ch. 8 - In the following exercises, solve. Round...Ch. 8 - In the following exercises, evaluate each...Ch. 8 - In the following exercises, evaluate each...Ch. 8 - In the following exercises, evaluate each...Ch. 8 - In the following exercises, evaluate each...Ch. 8 - In the following exercises, find the domain of the...Ch. 8 - In the following exercises, find the domain of the...Ch. 8 - In the following exercises, find the domain of the...Ch. 8 - In the following exercises, find the domain of the...Ch. 8 - In the following exercises, find the domain of...Ch. 8 - In the following exercises, find the domain of...Ch. 8 - In the following exercises, find the domain of...Ch. 8 - In the following exercises, find the domain of...Ch. 8 - In the following exercises, write each expression...Ch. 8 - In the following exercises, add or subtract. 565....Ch. 8 - In the following exercises, add or subtract. 566....Ch. 8 - In the following exercises, add or subtract. 567....Ch. 8 - In the following exercises, add or subtract. 568....Ch. 8 - In the following exercises, multiply. 569....Ch. 8 - In the following exercises, multiply. 570. 6i(32i)Ch. 8 - In the following exercises, multiply. 571. 416Ch. 8 - In the following exercises, multiply. 572....Ch. 8 - In the following exercises, multiply using the...Ch. 8 - In the following exercises, multiply using the...Ch. 8 - In the following exercises, divide. 575. 2+i34iCh. 8 - In the following exercises, divide. 576. 432iCh. 8 - In the following exercises, simplify. 577. i48Ch. 8 - In the following exercises, simplify. 578. i255Ch. 8 - In the following exercises, simplify using...Ch. 8 - In the following exercises, simplify using...Ch. 8 - In the following exercises, simplify using...Ch. 8 - In the following exercises, simplify using...Ch. 8 - In the following exercises, simplify. Assume all...Ch. 8 - In the following exercises, simplify. Assume all...Ch. 8 - In the following exercises, simplify. Assume all...Ch. 8 - In the following exercises, simplify. Assume all...Ch. 8 - In the following exercises, simplify. Assume all...Ch. 8 - In the following exercises, simplify. Assume all...Ch. 8 - In the following exercises, simplify. Assume all...Ch. 8 - In the following exercises, simplify. Assume all...Ch. 8 - In the following exercises, simplify. Assume all...Ch. 8 - In the following exercises, simplify. Assume all...Ch. 8 - In the following exercises, simplify. Assume all...Ch. 8 - In the following exercises, simplify. Assume all...Ch. 8 - In the following exercises, simplify. Assume all...Ch. 8 - In the following exercises, simplify. Assume all...Ch. 8 - In the following exercises, simplify. Assume all...Ch. 8 - In the following exercises, simplify. Assume all...Ch. 8 - In the following exercises, simplify. 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Additional Math Textbook Solutions
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Hypothesis Testing Using a P-Value In Exercises 31–36,
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- 2) Suppose you start with $60 and increase this amount by 15%. Since 15% of $60 is $9, that means you increase your $60 by $9, so you now have $69. Notice that we did this calculation in two steps: first we multiplied $60 by 0.15 to find 15% of $60, then we added this amount to our original $60. Explain why it makes sense that increasing $60 by 15% can also be accomplished in one step by multiplying $60 times 1.15. 3) Suppose you have $60 and want to decrease this amount by 15%. Since 15% of $60 is $9, that means you will decrease your $60 by $9, so you now have $51. Notice that we did this calculation in two steps: first we multiplied $60 by 0.15 to find 15% of $60, then we subtracted this amount from our original $60. Explain why it makes sense that decreasing $60 by 15% can also be accomplished in one step by multiplying $60 times 0.85. 4) In the Read and Study section, we noted that the population in Colony B is increasing each year by 25%. Which other colony in the Class Activity…arrow_forward5) You are purchasing a game for $30. You have a 5% off coupon and sales tax is 5%. What will your final price be? Does it matter if you take off the coupon first or add in the tax first? 6) You have ten coupons that allow you to take 10% off the sales price of a jacket, and for some strange reason, the store is going to allow you to use all ten coupons! Does this mean you get the jacket for free? Let's really think about what would happen at the checkout. First, the teller would scan the price tag on the jacket, and the computer would show the price is $100. After the teller scans the first coupon, the computer will take 10% off of $100, and show the price is $90. (Right? Think about why this is.) Then after the teller scans the second coupon, the computer will take 10% off of $90. (a) Continue this reasoning to fill in the table below showing the price of the jacket (y) after you apply x coupons. (b) Make a graph showing the price of the jacket from x = 0 to x = 10 coupons applied.…arrow_forward(a) (b) (c) (d) de unique? Answer the following questions related to the linear system x + y + z = 2 x-y+z=0 2x + y 2 3 rewrite the linear system into the matrix-vector form A = 5 Fuse elementary row operation to solve this linear system. Is the solution use elementary row operation to find the inverse of A and then solve the linear system. Verify the solution is the same as (b). give the null space of matrix A and find the dimension of null space. give the column space of matrix A and find the dimension of the column space of A (Hint: use Rank-Nullity Theorem).arrow_forward
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