Elementary Algebra
17th Edition
ISBN: 9780998625713
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publisher: OpenStax - Rice University
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Chapter 7.6, Problem 7.149TI
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Chapter 7 Solutions
Elementary Algebra
Ch. 7.1 - Find the GCF of 48 and 80.Ch. 7.1 - Find the GCF of 18 and 40.Ch. 7.1 - Find the GCF: 12x2,18x3 .Ch. 7.1 - Find the GCF: 12y2,24y3 .Ch. 7.1 - Find the GCF: 6ab4,8a2b .Ch. 7.1 - Find the GCF: 9m5n2,12m3n .Ch. 7.1 - Find the greatest common factor: 25m4,35m3,20m2 .Ch. 7.1 - Find the greatest common factor: 14x3,70x2,105x .Ch. 7.1 - Factor: 6a+24 .Ch. 7.1 - Factor: 2b+14 .
Ch. 7.1 - Factor: 14x+14 .Ch. 7.1 - Factor: 12p+12 .Ch. 7.1 - Factor: 18u36 .Ch. 7.1 - Factor: 30y60 .Ch. 7.1 - Factor: 5x225x+15 .Ch. 7.1 - Factor: 3y212y+27 .Ch. 7.1 - Factor: 2x3+12x2 .Ch. 7.1 - Factor: 6y315y2 .Ch. 7.1 - Factor: 20x310x2+14x .Ch. 7.1 - Factor: 24y312y220y .Ch. 7.1 - Factor: 9xy2+6x2y2+21y3 .Ch. 7.1 - Factor: 3p36p2q+9pq3 .Ch. 7.1 - Factor: 16z64 .Ch. 7.1 - Factor: 9y27 .Ch. 7.1 - Factor: 4b2+16b .Ch. 7.1 - Factor: 7a2+21a .Ch. 7.1 - Factor: 4m(m+3)7(m+3) .Ch. 7.1 - Factor: 8n(n4)+5(n4) .Ch. 7.1 - Factor: xy+8y+3x+24 .Ch. 7.1 - Factor: ab+7b+8a+56 .Ch. 7.1 - Factor: x2+2x5x10 .Ch. 7.1 - Factor: y2+4y7y28 .Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor by grouping....Ch. 7.1 - In the following exercises, factor by grouping....Ch. 7.1 - In the following exercises, factor by grouping....Ch. 7.1 - In the following exercises, factor by grouping....Ch. 7.1 - In the following exercises, factor by grouping....Ch. 7.1 - In the following exercises, factor by grouping....Ch. 7.1 - In the following exercises, factor by grouping....Ch. 7.1 - In the following exercises, factor by grouping....Ch. 7.1 - In the following exercises, factor. 53. 20x10Ch. 7.1 - In the following exercises, factor. 54. 5x3x2+xCh. 7.1 - In the following exercises, factor. 55....Ch. 7.1 - In the following exercises, factor. 56. x3+x2x1Ch. 7.1 - In the following exercises, factor. 57....Ch. 7.1 - In the following exercises, factor. 58. 5x33x25x3Ch. 7.1 - Area of a rectangle The area of a rectangle with...Ch. 7.1 - Height of a baseball The height of a baseball t...Ch. 7.1 - The greatest common factor of 36 and 60 is 12....Ch. 7.1 - What is the GCF of y4,y5 , and y10 ? Write a...Ch. 7.2 - Factor: x2+6x+8 .Ch. 7.2 - Factor: y2+8y+15 .Ch. 7.2 - Factor: q2+10q+24 .Ch. 7.2 - Factor: t2+14t+24 .Ch. 7.2 - Factor: x2+19x+60 .Ch. 7.2 - Factor: v2+23v+60 .Ch. 7.2 - Factor: u29u+18 .Ch. 7.2 - Factor: y216y+63 .Ch. 7.2 - Factor: h2+4h12 .Ch. 7.2 - Factor: k2+k20 .Ch. 7.2 - Factor: x24x12 .Ch. 7.2 - Factor: y2y20 .Ch. 7.2 - Factor: r23r40 .Ch. 7.2 - Factor: s23s10 .Ch. 7.2 - Factor: m2+4m+18 .Ch. 7.2 - Factor: n210n+12 .Ch. 7.2 - Factor: 9m+m2+18 .Ch. 7.2 - Factor: 7n+12+n2 .Ch. 7.2 - Factor: u2+11uv+28v2 .Ch. 7.2 - Factor: x2+13xy+42y2 .Ch. 7.2 - Factor: a211ab+10b2 .Ch. 7.2 - Factor: m213mn+12n2 .Ch. 7.2 - Factor: x27xy10y2 .Ch. 7.2 - Factor: p2+15pq+20q2 .Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each...Ch. 7.2 - In the following exercises, factor each...Ch. 7.2 - the following exercises, factor each expression....Ch. 7.2 - In the following exercises, factor each...Ch. 7.2 - In the following exercises, factor each...Ch. 7.2 - In the following exercises, factor each...Ch. 7.2 - In the following exercises, factor each...Ch. 7.2 - In the following exercises, factor each...Ch. 7.2 - In the following exercises, factor each...Ch. 7.2 - In the following exercises, factor each...Ch. 7.2 - In the following exercises, factor each...Ch. 7.2 - In the following exercises, factor each...Ch. 7.2 - the following exercises, factor each expression....Ch. 7.2 - In the following exercises, factor each...Ch. 7.2 - In the following exercises, factor each...Ch. 7.2 - In the following exercises, factor each...Ch. 7.2 - Consecutive integers Deirdre is thinking of two...Ch. 7.2 - Consecutive integers Deshawn is thinking of two...Ch. 7.2 - Many trinomials of the form x2+bx+c factor into...Ch. 7.2 - How do you determine whether to use plus or minus...Ch. 7.2 - Will factored x2x20 as (x+5)(x4) . Bill factored...Ch. 7.2 - Look at Example 7.19, where we factored y2+17y+60...Ch. 7.3 - Identify the best method to use to factor each...Ch. 7.3 - Identify the best method to use to factor each...Ch. 7.3 - Factor completely: 4m24m8 .Ch. 7.3 - Factor completely: 5k215k50 .Ch. 7.3 - Factor completely: 3r29r+6 .Ch. 7.3 - Factor completely: 2t210t+12 .Ch. 7.3 - Factor completely: 5x3+15x220x .Ch. 7.3 - Factor completely: 6y3+18y260y .Ch. 7.3 - Factor completely: 2a2+5a+3 .Ch. 7.3 - Factor completely: 4b2+5b+1 .Ch. 7.3 - Factor completely: 8x213x+3 .Ch. 7.3 - Factor completely: 10y237+7 .Ch. 7.3 - Factor completely: 8a23a5 .Ch. 7.3 - Factor completely: 6b2b15 .Ch. 7.3 - Factor completely: 18x23x10 .Ch. 7.3 - Factor completely: 30y253y21 .Ch. 7.3 - Factor completely: 15n285n2+100n .Ch. 7.3 - Factor completely: 56q3+320q296q .Ch. 7.3 - Factor: 6x2+13x+2 .Ch. 7.3 - Factor: 4y2+8y+3 .Ch. 7.3 - Factor: 20h2+13h15 .Ch. 7.3 - Factor: 6g2+19g20 .Ch. 7.3 - Factor: 10t2+19t15 .Ch. 7.3 - Factor: 3u2+8u+5 .Ch. 7.3 - Factor: 16x232x+12 .Ch. 7.3 - Factor: 18w239w+18 .Ch. 7.3 - In the following exercises, identify the best...Ch. 7.3 - In the following exercises, identify the best...Ch. 7.3 - In the following exercises, identify the best...Ch. 7.3 - In the following exercises, identify the best...Ch. 7.3 - In the following exercises, factor completely....Ch. 7.3 - In the following exercises, factor completely....Ch. 7.3 - In the following exercises, factor completely....Ch. 7.3 - In the following exercises, factor completely....Ch. 7.3 - In the following exercises, factor completely....Ch. 7.3 - In the following exercises, factor completely....Ch. 7.3 - In the following exercises, factor completely....Ch. 7.3 - In the following exercises, factor completely....Ch. 7.3 - In the following exercises, factor completely....Ch. 7.3 - In the following exercises, factor completely....Ch. 7.3 - In the following exercises, factor completely....Ch. 7.3 - In the following exercises, factor completely....Ch. 7.3 - In the following exercises, factor. 151. 2t2+7t+5Ch. 7.3 - In the following exercises, factor. 152....Ch. 7.3 - In the following exercises, factor. 153....Ch. 7.3 - In the following exercises, factor. 154. 7b2+50b+7Ch. 7.3 - In the following exercises, factor. 155. 4w25w+1Ch. 7.3 - In the following exercises, factor. 156. 5x217x+6Ch. 7.3 - In the following exercises, factor. 157. 6p219p+10Ch. 7.3 - In the following exercises, factor. 158....Ch. 7.3 - In the following exercises, factor. 159. 4q27q2Ch. 7.3 - In the following exercises, factor. 160. 10y253y11Ch. 7.3 - In the following exercises, factor. 161. 4p2+17p15Ch. 7.3 - In the following exercises, factor. 162. 6u2+5u14Ch. 7.3 - In the following exercises, factor. 163....Ch. 7.3 - In the following exercises, factor. 164....Ch. 7.3 - In the following exercises, factor. 165....Ch. 7.3 - In the following exercises, factor. 166....Ch. 7.3 - In the following exercises, factor. 167. 5n2+21n+4Ch. 7.3 - In the following exercises, factor. 168. 8w2+25w+3Ch. 7.3 - In the following exercises, factor. 169. 9z2+15z+4Ch. 7.3 - In the following exercises, factor. 170....Ch. 7.3 - In the following exercises, factor. 171. 4k216k+15Ch. 7.3 - In the following exercises, factor. 172. 4q29q+5Ch. 7.3 - In the following exercises, factor. 173. 5s29s+4Ch. 7.3 - In the following exercises, factor. 174. 4r220r+25Ch. 7.3 - In the following exercises, factor. 175. 6y2+y15Ch. 7.3 - In the following exercises, factor. 176. 6p2+p22Ch. 7.3 - In the following exercises, factor. 177. 2n227n45Ch. 7.3 - In the following exercises, factor. 178. 12z241z11Ch. 7.3 - In the following exercises, factor. 179. 3x2+5x+4Ch. 7.3 - In the following exercises, factor. 180. 4y2+15y+6Ch. 7.3 - In the following exercises, factor. 181....Ch. 7.3 - In the following exercises, factor. 182. 6u246u16Ch. 7.3 - In the following exercises, factor. 183....Ch. 7.3 - In the following exercises, factor. 184....Ch. 7.3 - In the following exercises, factor. 185....Ch. 7.3 - In the following exercises, factor. 186....Ch. 7.3 - In the following exercises, factor. 187....Ch. 7.3 - In the following exercises, factor. 188....Ch. 7.3 - In the following exercises, factor. 189....Ch. 7.3 - In the following exercises, factor. 190....Ch. 7.3 - In the following exercises, factor. 191. a2a20Ch. 7.3 - In the following exercises, factor. 192. m2m12Ch. 7.3 - In the following exercises, factor. 193. 6n2+5n4Ch. 7.3 - In the following exercises, factor. 194....Ch. 7.3 - In the following exercises, factor. 195. 2p2+4p+3Ch. 7.3 - In the following exercises, factor. 196. 3q2+6q+2Ch. 7.3 - In the following exercises, factor. 197....Ch. 7.3 - In the following exercises, factor. 198....Ch. 7.3 - In the following exercises, factor. 199. x2+3x28Ch. 7.3 - In the following exercises, factor. 200. 6u2+7u5Ch. 7.3 - In the following exercises, factor. 201. 3p2+21pCh. 7.3 - In the following exercises, factor. 202. 7x221xCh. 7.3 - In the following exercises, factor. 203....Ch. 7.3 - In the following exercises, factor. 204....Ch. 7.3 - In the following exercises, factor. 205....Ch. 7.3 - In the following exercises, factor. 206. 4a2+5a+2Ch. 7.3 - In the following exercises, factor. 207. x2+2x24Ch. 7.3 - In the following exercises, factor. 208. 2b27b+4Ch. 7.3 - Height of a toy rocket The height of a toy rocket...Ch. 7.3 - Height of a beach ball The height of a beach ball...Ch. 7.3 - List, in order, all the steps you take when using...Ch. 7.3 - How is the “ac” method similar to the “undo FOIL”...Ch. 7.3 - What are the questions, in order, that you ask...Ch. 7.3 - On your paper draw the chart that summarizes the...Ch. 7.4 - Factor: 4x2+12x+9 .Ch. 7.4 - Factor: 9y2+24y+16 .Ch. 7.4 - Factor: 64y280y+25 .Ch. 7.4 - Factor: 16z272z+81 .Ch. 7.4 - Factor: 49x2+84xy+36y2 .Ch. 7.4 - Factor: 64m2+112mn+49n2 .Ch. 7.4 - Factor: 16r2+30rs+9s2 .Ch. 7.4 - Factor: 9u2+87u+100 .Ch. 7.4 - Factor: 8x2y24xy+18y .Ch. 7.4 - Factor: 27p2q+90pq+75q .Ch. 7.4 - Factor: h281 .Ch. 7.4 - Factor: k2121 .Ch. 7.4 - Factor: m21 .Ch. 7.4 - Factor: 81y21 .Ch. 7.4 - Factor: 196m225n2 .Ch. 7.4 - Factor: 144p29q2 .Ch. 7.4 - Factor: 144x2 .Ch. 7.4 - Factor: 169p2 .Ch. 7.4 - Factor: a4b4 .Ch. 7.4 - Factor: x416 .Ch. 7.4 - Factor: 7xy2175x .Ch. 7.4 - Factor: 45a2b80b .Ch. 7.4 - Factor: 8a2+20 .Ch. 7.4 - Factor: 36y2+81 .Ch. 7.4 - Factor: x3+27 .Ch. 7.4 - Factor: y3+8 .Ch. 7.4 - Factor: u3125 .Ch. 7.4 - Factor: v3343 .Ch. 7.4 - Factor: 6427x3 .Ch. 7.4 - Factor: 278y3 .Ch. 7.4 - Factor: 8x327y3 .Ch. 7.4 - Factor: 1000m3125n3 .Ch. 7.4 - Factor: 500p3+4q3 .Ch. 7.4 - Factor: 432c3+686d3 .Ch. 7.4 - In the following exercises, factor. 215....Ch. 7.4 - In the following exercises, factor. 216....Ch. 7.4 - In the following exercises, factor. 217....Ch. 7.4 - In the following exercises, factor. 218....Ch. 7.4 - In the following exercises, factor. 219....Ch. 7.4 - In the following exercises, factor. 220. 64z216z+1Ch. 7.4 - In the following exercises, factor. 221....Ch. 7.4 - In the following exercises, factor. 222....Ch. 7.4 - In the following exercises, factor. 223....Ch. 7.4 - In the following exercises, factor. 224....Ch. 7.4 - In the following exercises, factor. 225....Ch. 7.4 - In the following exercises, factor. 226....Ch. 7.4 - In the following exercises, factor. 227. 64m234m+1Ch. 7.4 - In the following exercises, factor. 228....Ch. 7.4 - In the following exercises, factor. 229....Ch. 7.4 - In the following exercises, factor. 230....Ch. 7.4 - In the following exercises, factor. 231....Ch. 7.4 - In the following exercises, factor. 232....Ch. 7.4 - In the following exercises, factor. 233. x216Ch. 7.4 - In the following exercises, factor. 234. n29Ch. 7.4 - In the following exercises, factor. 235. 25v21Ch. 7.4 - In the following exercises, factor. 236. 169q21Ch. 7.4 - In the following exercises, factor. 237....Ch. 7.4 - In the following exercises, factor. 238. 49x281y2Ch. 7.4 - In the following exercises, factor. 239. 169c236d2Ch. 7.4 - In the following exercises, factor. 240. 36p249q2Ch. 7.4 - In the following exercises, factor. 241. 449x2Ch. 7.4 - In the following exercises, factor. 242. 12125s2Ch. 7.4 - In the following exercises, factor. 243. 16z41Ch. 7.4 - In the following exercises, factor. 244. m4n4Ch. 7.4 - In the following exercises, factor. 245. 5q245Ch. 7.4 - In the following exercises, factor. 246. 98r372rCh. 7.4 - In the following exercises, factor. 247. 24p2+54Ch. 7.4 - In the following exercises, factor. 248. 20b2+140Ch. 7.4 - In the following exercises, factor. 249. x3+125Ch. 7.4 - In the following exercises, factor. 250. n3+512Ch. 7.4 - In the following exercises, factor. 251. z327Ch. 7.4 - In the following exercises, factor. 252. v3216Ch. 7.4 - In the following exercises, factor. 253. 8343t3Ch. 7.4 - In the following exercises, factor. 254. 12527w3Ch. 7.4 - In the following exercises, factor. 255. 8y3125z3Ch. 7.4 - In the following exercises, factor. 256. 27x364y3Ch. 7.4 - In the following exercises, factor. 257. 7k3+56Ch. 7.4 - In the following exercises, factor. 258. 6x348y3Ch. 7.4 - In the following exercises, factor. 259. 216y3Ch. 7.4 - In the following exercises, factor. 260. 2x316y3Ch. 7.4 - In the following exercises, factor. 261. 64a225Ch. 7.4 - In the following exercises, factor. 262. 121x2144Ch. 7.4 - In the following exercises, factor. 263. 27q23Ch. 7.4 - In the following exercises, factor. 264. 4p2100Ch. 7.4 - In the following exercises, factor. 265....Ch. 7.4 - In the following exercises, factor. 266....Ch. 7.4 - In the following exercises, factor. 267. 8p2+2Ch. 7.4 - In the following exercises, factor. 268. 81x2+169Ch. 7.4 - In the following exercises, factor. 269. 1258y3Ch. 7.4 - In the following exercises, factor. 270. 27u3+1000Ch. 7.4 - In the following exercises, factor. 271....Ch. 7.4 - In the following exercises, factor. 272....Ch. 7.4 - Landscaping Sue and Alan are planning to put a 15...Ch. 7.4 - Home repair The height a twelve foot ladder can...Ch. 7.4 - Why was it important to practice using the...Ch. 7.4 - How do you recognize the binomial squares pattern?Ch. 7.4 - Explain why n2+25(n+5)2 . Use algebra, words, or...Ch. 7.4 - Maribel factored y230y+81 as (y9)2 . Was she right...Ch. 7.5 - Factor completely: 3a4+18a3 .Ch. 7.5 - Factor completely: 45b6+27b5 .Ch. 7.5 - Factor completely: 10a217a+6 .Ch. 7.5 - Factor completely: 8x218x+9 .Ch. 7.5 - Factor completely: x3+36x .Ch. 7.5 - Factor completely: 27y2+48 .Ch. 7.5 - Factor completely: 16x336x .Ch. 7.5 - Factor completely: 27y248 .Ch. 7.5 - Factor completely: 4x2+20xy+25y2 .Ch. 7.5 - Factor completely: 9m2+42mn+49n2 .Ch. 7.5 - Factor completely: 8y2+16y24 .Ch. 7.5 - Factor completely: 5u215u270 .Ch. 7.5 - Factor completely: 250m3+432 .Ch. 7.5 - Factor completely: 81q3+192 .Ch. 7.5 - Factor completely: 4a464 .Ch. 7.5 - Factor completely: 7y47 .Ch. 7.5 - Factor completely: 6x212xc+6bx12bc .Ch. 7.5 - Factor completely: 16x2+24xy4x6y .Ch. 7.5 - Factor completely: 4p216p+12 .Ch. 7.5 - Factor completely: 6q29q6 .Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - Watermelon drop A springtime tradition at the...Ch. 7.5 - Pumpkin drop A fall tradition at the University of...Ch. 7.5 - The difference of squares y4625 can be factored as...Ch. 7.5 - Of all the factoring methods covered in this...Ch. 7.6 - Solve: (x3)(x+5)=0 .Ch. 7.6 - Solve: (y6)(y+9)=0 .Ch. 7.6 - Solve: (3m2)(2m+1)=0 .Ch. 7.6 - Solve: (4p+3)(4p3)=0 .Ch. 7.6 - Solve: 2u(5u1)=0 .Ch. 7.6 - Solve: w(2w+3)=0 .Ch. 7.6 - Solve: (x+1)2=0 .Ch. 7.6 - Solve: (v2)2=0 .Ch. 7.6 - Solve: x2x12=0 .Ch. 7.6 - Solve: b2+9b+14=0 .Ch. 7.6 - Solve: 3c2=10c8 .Ch. 7.6 - Solve: 2d25d=3 .Ch. 7.6 - Solve: 6a2+9a=3a .Ch. 7.6 - Solve: 45b22b=17b .Ch. 7.6 - Solve: 25p2=49 .Ch. 7.6 - Solve: 36x2=121 .Ch. 7.6 - Solve: (2m+1)(m+3)=12m .Ch. 7.6 - Solve: (k+1)(k1)=8 .Ch. 7.6 - Solve: 8x3=24x218x .Ch. 7.6 - Solve: 16y2=32y3+2y .Ch. 7.6 - Solve: 18a230=33a .Ch. 7.6 - Solve: 123b=660b2 .Ch. 7.6 - The product of two consecutive integers is 240....Ch. 7.6 - The product of two consecutive integers is 420....Ch. 7.6 - A rectangular sign has area 30 square feet. The...Ch. 7.6 - A rectangular patio has area 180 square feet. The...Ch. 7.6 - A boat’s sail is a right triangle. The length of...Ch. 7.6 - A meditation garden is in the shape of a right...Ch. 7.6 - In the following exercises, solve. 315....Ch. 7.6 - In the following exercises, solve. 316....Ch. 7.6 - In the following exercises, solve. 317....Ch. 7.6 - In the following exercises, solve. 318....Ch. 7.6 - In the following exercises, solve. 319. 6m(12m5)=0Ch. 7.6 - In the following exercises, solve. 320. 2x(6x3)=0Ch. 7.6 - In the following exercises, solve. 321. (y3)2=0Ch. 7.6 - In the following exercises, solve. 322. (b+10)2=0Ch. 7.6 - In the following exercises, solve. 323. (2x1)2=0Ch. 7.6 - In the following exercises, solve. 324. (3y+5)2=0Ch. 7.6 - In the following exercises, solve. 325. x2+7x+12=0Ch. 7.6 - In the following exercises, solve. 326. y28y+15=0Ch. 7.6 - In the following exercises, solve. 327. 5a226a=24Ch. 7.6 - In the following exercises, solve. 328. 4b2+7b=3Ch. 7.6 - In the following exercises, solve. 329. 4m2=17m15Ch. 7.6 - In the following exercises, solve. 330....Ch. 7.6 - In the following exercises, solve. 331. 7a2+14a=7aCh. 7.6 - In the following exercises, solve. 332. 12b215b=9bCh. 7.6 - In the following exercises, solve. 333. 49m2=144Ch. 7.6 - In the following exercises, solve. 334. 625=x2Ch. 7.6 - In the following exercises, solve. 335....Ch. 7.6 - In the following exercises, solve. 336....Ch. 7.6 - In the following exercises, solve. 337....Ch. 7.6 - In the following exercises, solve. 338....Ch. 7.6 - In the following exercises, solve. 339....Ch. 7.6 - In the following exercises, solve. 340. m32m2=mCh. 7.6 - In the following exercises, solve. 341. 20x260x=45Ch. 7.6 - In the following exercises, solve. 342. 3y218y=27Ch. 7.6 - In the following exercises, solve. 343. The...Ch. 7.6 - In the following exercises, solve. 344. The...Ch. 7.6 - In the following exercises, solve. 345. The area...Ch. 7.6 - In the following exercises, solve. 346. A...Ch. 7.6 - In the following exercises, solve. 347. A pennant...Ch. 7.6 - In the following exercises, solve. 348. A...Ch. 7.6 - In the following exercises, solve. 349....Ch. 7.6 - In the following exercises, solve. 350....Ch. 7.6 - In the following exercises, solve. 351....Ch. 7.6 - In the following exercises, solve. 352. q212q13=0Ch. 7.6 - In the following exercises, solve. 353. m2=6m+16Ch. 7.6 - In the following exercises, solve. 354. 4n2+19n=5Ch. 7.6 - In the following exercises, solve. 355. a3a242a=0Ch. 7.6 - In the following exercises, solve. 356....Ch. 7.6 - In the following exercises, solve. 357. The...Ch. 7.6 - In the following exercises, solve. 358. The length...Ch. 7.6 - Area of a patio If each side of a square patio is...Ch. 7.6 - Watermelon drop A watermelon is dropped from the...Ch. 7.6 - Explain how you solve a quadratic equation. How...Ch. 7.6 - Give an example of a quadratic equation that has a...Ch. 7 - In the following exercises, find the greatest...Ch. 7 - In the following exercises, find the greatest...Ch. 7 - In the following exercises, find the greatest...Ch. 7 - In the following exercises, find the greatest...Ch. 7 - In the following exercises, factor the greatest...Ch. 7 - In the following exercises, factor the greatest...Ch. 7 - In the following exercises, factor the greatest...Ch. 7 - In the following exercises, factor the greatest...Ch. 7 - In the following exercises, factor by grouping....Ch. 7 - In the following exercises, factor by grouping....Ch. 7 - In the following exercises, factor by grouping....Ch. 7 - In the following exercises, factor by grouping....Ch. 7 - In the following exercises, factor by grouping....Ch. 7 - In the following exercises, factor by grouping....Ch. 7 - In the following exercises, factor each trinomial...Ch. 7 - In the following exercises, factor each trinomial...Ch. 7 - In the following exercises, factor each trinomial...Ch. 7 - In the following exercises, factor each trinomial...Ch. 7 - In the following exercises, factor each trinomial...Ch. 7 - In the following exercises, factor each trinomial...Ch. 7 - In the following exercises, factor each trinomial...Ch. 7 - In the following exercises, factor each trinomial...Ch. 7 - In the following examples, factor each trinomial...Ch. 7 - In the following examples, factor each trinomial...Ch. 7 - In the following examples, factor each trinomial...Ch. 7 - In the following examples, factor each trinomial...Ch. 7 - In the following exercises, identify the best...Ch. 7 - In the following exercises, identify the best...Ch. 7 - In the following exercises, identify the best...Ch. 7 - In the following exercises, identify the best...Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor. 397. 2x2+9x+4Ch. 7 - In the following exercises, factor. 398....Ch. 7 - In the following exercises, factor. 399. 18a29a+1Ch. 7 - In the following exercises, factor. 400. 8u214u+3Ch. 7 - In the following exercises, factor. 401. 15p2+2p8Ch. 7 - In the following exercises, factor. 402. 15x2+6x2Ch. 7 - In the following exercises, factor. 403. 40s2s6Ch. 7 - In the following exercises, factor. 404. 20n27n3Ch. 7 - In the following exercises, factor. 405. 3x2+3x36Ch. 7 - In the following exercises, factor. 406. 4x2+4x8Ch. 7 - In the following exercises, factor. 407. 60y285y25Ch. 7 - In the following exercises, factor. 408. 18a257a21Ch. 7 - In the following exercises, factor. 409....Ch. 7 - In the following exercises, factor. 410....Ch. 7 - In the following exercises, factor. 411....Ch. 7 - In the following exercises, factor. 412....Ch. 7 - In the following exercises, factor. 413....Ch. 7 - In the following exercises, factor. 414....Ch. 7 - In the following exercises, factor. 415....Ch. 7 - In the following exercises, factor. 416....Ch. 7 - In the following exercises, factor. 417. 81r225Ch. 7 - In the following exercises, factor. 418. 49a2144Ch. 7 - In the following exercises, factor. 419. 169m2n2Ch. 7 - In the following exercises, factor. 420. 64x2y2Ch. 7 - In the following exercises, factor. 421. 25p21Ch. 7 - In the following exercises, factor. 422. 116s2Ch. 7 - In the following exercises, factor. 423. 9121y2Ch. 7 - In the following exercises, factor. 424. 100k281Ch. 7 - In the following exercises, factor. 425. 20x2125Ch. 7 - In the following exercises, factor. 426. 18y298Ch. 7 - In the following exercises, factor. 427. 49u39uCh. 7 - In the following exercises, factor. 428. 169n3nCh. 7 - In the following exercises, factor. 429. a3125Ch. 7 - In the following exercises, factor. 430. b3216Ch. 7 - In the following exercises, factor. 431. 2m3+54Ch. 7 - In the following exercises, factor. 432. 81x3+3Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, solve. 445....Ch. 7 - In the following exercises, solve. 446....Ch. 7 - In the following exercises, solve. 447....Ch. 7 - In the following exercises, solve. 448....Ch. 7 - In the following exercises, solve. 449. x2+9x+20=0Ch. 7 - In the following exercises, solve. 450. y2y72=0Ch. 7 - In the following exercises, solve. 451. 2p211p=40Ch. 7 - In the following exercises, solve. 452....Ch. 7 - In the following exercises, solve. 453. 144m225=0Ch. 7 - In the following exercises, solve. 454. 4n2=36Ch. 7 - In the following exercises, solve. 455. The...Ch. 7 - In the following exercises, solve. 456. The area...Ch. 7 - In the following exercises, find the Greatest...Ch. 7 - In the following exercises, find the Greatest...Ch. 7 - In the following exercises, find the Greatest...Ch. 7 - In the following exercises, find the Greatest...Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, solve. 478. x2+9x+20=0Ch. 7 - In the following exercises, solve. 479. y2=y+132Ch. 7 - In the following exercises, solve. 480. 5a2+26a=24Ch. 7 - In the following exercises, solve. 481. 9b29=0Ch. 7 - In the following exercises, solve. 482. 16m2=0Ch. 7 - In the following exercises, solve. 483....Ch. 7 - In the following exercises, solve. 484....Ch. 7 - In the following exercises, solve. 485. The...Ch. 7 - In the following exercises, solve. 486. The area...
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- 2. Write a system of linear equations in slope-intercept form has exactly one solution at the point (3, 4), such that both lines have negative slope (but neither one has slope of 1). Also write your system of equations with both equations written in standard form without any fractions. B 0 5 4 3 -2 1 -8-7-6-5-4-3-2 -1 12 3 -1 2 -3 -5 6 -7 -8arrow_forward4. Write a system of linear equations in slope-intercept form that has no solution, such that (3, 4), and (3,8) are solutions to the first equation, and (0, 4) is a solution to the second equation. Also write your system of equations with both equations written in standard form with out any fractions B 0 5 4 3 -2 + -8-7-6-5-4-3-2 -1 |- 1 2 3 -1 2 -3 4 -5 6 -7arrow_forwardShow how you can solve the system of equations by manipulating the algebra tiles while maintaining the balances. On this side of the page, use the addition (elimination) method. Keep track of what you did at each step by writing down the corresponding equivalent equations, as well as what you did to go from one equation to the next. 1. x + 2y = 5 x-2y=1 2. 2x+y=2 x-2y= 6arrow_forward
- e) x24 1) Which of these are equivalent to x³? For each expression that is equivalent to x², prove it by using the definition of exponents. For each that is not equivalent to x³, give an example using a specific value for x that shows that it represents a different number. a) (x5) d) f) 10-2 b) (x²) *|*arrow_forwardNow show how you can solve the system of equations by manipulating the algebra tiles while maintaining the balances, using the substitution method. Keep track of what you did at each step by writing down the corresponding equivalent equations, as well as what you did to go from one equation to the next. Δ 1. x + 2y = 5 x-2y=1 2. 2x + y = 2 x-2y= 6arrow_forward1. Write a system of two linear equations in slope-intercept form that has exactly one solution at the point (3, 4), such that both lines have positive slope (but neither one has slope of 1) Also write your system of equations with both equations written in standard form without any fractions. 8- 7 8 5 4 3 -2- + -8-7-6-5-4-3-2-1 1 2 3 -1 2 - 4 -5 -7 -8arrow_forward
- The original idea for creating this applet comes from Steve Phelps' Graph the Line applet. Directions: 1) Examine the equation shown on the right side of the screen. 2) Reposition the 2 big points so that the line is the graph of the displayed equation. 3) Click the "Check Answer" checkbox to check. If you're correct, the app will inform you. If you're not, you'll know this as well. If you're not correct, keep trying until you position the gray line correctly. 4) After correctly graphing the line, click the "Generate New Line" button.arrow_forwardProblem 1 & 2 answers 1. One diagonal has 11 squares, then total square in total for two diagonal line is 11 + 11 - 1 = 21 . 2. Each part has 5 squares.(except middle)Multiply by 4: 5 × 4 = 20.Add the middle square: 20 + 1 = 21.arrow_forward2. Now Figure out a different way you could determine how many squares there are in the figure, again without counting them all one-by-one. Briefly describe this other method:arrow_forward
- 1. Without counting all of the squares one by one, determine how many squares there are in the figure shown. Briefly describe your method.arrow_forward54, and 68 e Problem (10 point. in standard form (a + bi): 2+i √√3-2i ksgiving Problem (2 ion to reveal Mr. Erdman's favoriarrow_forward1 2 5. Let S = 0 0 statements is true? and consider the subset W = {A Є M22 | SA = AS}. Which one of the following A. W is not a subspace of M22 = 4 B. W is a subspace of M22, and dim W C. W is a subspace of M22, and dim W = 3 D. W is a subspace of M22, and dim W = 2 E. W is a subspace of M22, and dim W = 1 F. W is a subspace of M22, and dim W = 0arrow_forward
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