Elementary Algebra
17th Edition
ISBN: 9780998625713
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 8, Problem 612RE
In the following exercises, solve.
612. On a string instrument, the length of a string varies inversely with the frequency of its vibrations. If an 11-inch string on a violin has a frequency of 360 cycles per second, what frequency does a 12 inch string have?
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Assume {u1, U2, u3, u4} does not span R³.
Select the best statement.
A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set.
B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³.
C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set.
D. {u1, U2, u3} cannot span R³.
E. {U1, U2, u3} spans R³ if u̸4 is the zero vector.
F. none of the above
Select the best statement.
A. If a set of vectors includes the zero vector 0, then the set of vectors can span R^ as long as the other vectors
are distinct.
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B. If a set of vectors includes the zero vector 0, then the set of vectors spans R precisely when the set with 0
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○ C. If a set of vectors includes the zero vector 0, then the set of vectors can span Rn as long as it contains n
vectors.
○ D. If a set of vectors includes the zero vector 0, then there is no reasonable way to determine if the set of vectors
spans Rn.
E. If a set of vectors includes the zero vector 0, then the set of vectors cannot span Rn.
F. none of the above
Which of the following sets of vectors are linearly independent? (Check the boxes for linearly independent sets.)
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Chapter 8 Solutions
Elementary Algebra
Ch. 8.1 - Determine the values for which the rational...Ch. 8.1 - Determine the values for which the rational...Ch. 8.1 - Evaluate y+12y3 for each value: a. y=1b. y=3c. y=0Ch. 8.1 - Evaluate 5x12x+1 for each value: a. x=1b. x=1 c....Ch. 8.1 - Evaluate x2+1x23x+2 for each value: a. x=0 b. x=1 ...Ch. 8.1 - Evaluate x2+x6x29 for each value: a. x=0b. x=2 c....Ch. 8.1 - Evaluate 2a3ba2+2ab+b2 for each value: a....Ch. 8.1 - Evaluate a2b28ab3 for each value: a. a=1,b=1 b....Ch. 8.1 - Simplify: 4581 .Ch. 8.1 - Simplify: 4254
Ch. 8.1 - Simplify: 4x2y12xy2 .Ch. 8.1 - Simplify: 16x2y2xy2 .Ch. 8.1 - Simplify: 3x62x4 .Ch. 8.1 - Simplify: 7y+355y+25 .Ch. 8.1 - Simplify: x2x2x23x+2 .Ch. 8.1 - Simplify: x23x10x2+x2Ch. 8.1 - Simplify: x2+x6x24Ch. 8.1 - Simplify: x2+8x+7x249 .Ch. 8.1 - Simplify: y33y2+y3y2y6 .Ch. 8.1 - Simplify: p3p2+2p2p2+4p5 .Ch. 8.1 - Simplify: 2n210n4n216n20 .Ch. 8.1 - Simplify: 4x216x8x216x64 .Ch. 8.1 - Simplify: 2x212x+183x227 .Ch. 8.1 - Simplify: 5y230y+252y250 .Ch. 8.1 - Simplify : p364p216 .Ch. 8.1 - Simplify: x3+8x24 .Ch. 8.1 - Simplify: y22y .Ch. 8.1 - Simplify: n99n .Ch. 8.1 - Simplify: 102yy225 .Ch. 8.1 - Simplify: 3y2781y2 .Ch. 8.1 - Simplify: x24x525x2 .Ch. 8.1 - Simplify: x2+x21x2 .Ch. 8.1 - In the following exercises, determine the values...Ch. 8.1 - In the following exercises, determine the values...Ch. 8.1 - In the following exercises, determine the values...Ch. 8.1 - In the following exercises, determine the values...Ch. 8.1 - In the following exercises, evaluate the rational...Ch. 8.1 - In the following exercises, evaluate the rational...Ch. 8.1 - In the following exercises, evaluate the rational...Ch. 8.1 - In the following exercises, evaluate the rational...Ch. 8.1 - In the following exercises, evaluate the rational...Ch. 8.1 - In the following exercises, evaluate the rational...Ch. 8.1 - In the following exercises, evaluate the rational...Ch. 8.1 - In the following exercises, evaluate the rational...Ch. 8.1 - In the following exercises, evaluate the rational...Ch. 8.1 - In the following exercises, evaluate the rational...Ch. 8.1 - In the following exercises, evaluate the rational...Ch. 8.1 - In the following exercises, evaluate the rational...Ch. 8.1 - In the following exercises, simplify. 17. 452Ch. 8.1 - In the following exercises, simplify. 18. 4455Ch. 8.1 - In the following exercises, simplify. 19. 5663Ch. 8.1 - In the following exercises, simplify. 20. 65104Ch. 8.1 - In the following exercises, simplify. 21....Ch. 8.1 - In the following exercises, simplify. 22....Ch. 8.1 - In the following exercises, simplify. 23....Ch. 8.1 - In the following exercises, simplify. 24....Ch. 8.1 - In the following exercises, simplify. 25. 3a+64a+8Ch. 8.1 - In the following exercises, simplify. 26. 5b+56b+6Ch. 8.1 - In the following exercises, simplify. 27. 3c95c15Ch. 8.1 - In the following exercises, simplify. 28....Ch. 8.1 - In the following exercises, simplify. 29....Ch. 8.1 - In the following exercises, simplify. 30. 8n963n36Ch. 8.1 - In the following exercises, simplify. 31....Ch. 8.1 - In the following exercises, simplify. 32....Ch. 8.1 - In the following exercises, simplify. 33....Ch. 8.1 - In the following exercises, simplify. 34....Ch. 8.1 - In the following exercises, simplify. 35....Ch. 8.1 - In the following exercises, simplify. 36....Ch. 8.1 - In the following exercises, simplify. 37....Ch. 8.1 - In the following exercises, simplify. 38....Ch. 8.1 - In the following exercises, simplify. 39. y22y3y29Ch. 8.1 - In the following exercises, simplify. 40....Ch. 8.1 - In the following exercises, simplify. 41....Ch. 8.1 - In the following exercises, simplify. 42....Ch. 8.1 - In the following exercises, simplify. 43....Ch. 8.1 - In the following exercises, simplify. 44....Ch. 8.1 - In the following exercises, simplify. 45....Ch. 8.1 - In the following exercises, simplify. 46....Ch. 8.1 - In the following exercises, simplify. 47....Ch. 8.1 - In the following exercises, simplify. 48....Ch. 8.1 - In the following exercises, simplify. 49....Ch. 8.1 - In the following exercises, simplify. 50....Ch. 8.1 - In the following exercises, simplify. 51....Ch. 8.1 - In the following exercises, simplify. 52....Ch. 8.1 - In the following exercises, simplify. 53. t327t29Ch. 8.1 - In the following exercises, simplify. 54. v31v21Ch. 8.1 - In the following exercises, simplify. 55....Ch. 8.1 - In the following exercises, simplify. 56....Ch. 8.1 - In the following exercises, simplify each rational...Ch. 8.1 - In the following exercises, simplify each rational...Ch. 8.1 - In the following exercises, simplify each rational...Ch. 8.1 - In the following exercises, simplify each rational...Ch. 8.1 - In the following exercises, simplify each rational...Ch. 8.1 - In the following exercises, simplify each rational...Ch. 8.1 - In the following exercises, simplify each rational...Ch. 8.1 - In the following exercises, simplify each rational...Ch. 8.1 - In the following exercises, simplify each rational...Ch. 8.1 - In the following exercises, simplify each rational...Ch. 8.1 - In the following exercises, simplify each rational...Ch. 8.1 - In the following exercises, simplify each rational...Ch. 8.1 - Tax Rates For the tax year 2015, the amount of tax...Ch. 8.1 - Work The length of time it takes for two people...Ch. 8.1 - Explain how you find the values of x for which the...Ch. 8.1 - Explain all the steps you take to simplify the...Ch. 8.2 - Multiply: 6101512 .Ch. 8.2 - Multiply: 201568 .Ch. 8.2 - Multiply: 3pqq25p2q6pq .Ch. 8.2 - Multiply: 6x3y7x22xy3x2yCh. 8.2 - Multiply: 5xx2+5x+6x2410x .Ch. 8.2 - Multiply: 9x2x2+11x+30x2363x2 .Ch. 8.2 - Multiply: x225x23x10x+2x .Ch. 8.2 - Multiply: x24xx2+5x+6x+2x .Ch. 8.2 - Multiply: 12x6x2x2+8xx2+11x+24x24 .Ch. 8.2 - Multiply: 9v3v29v+36v2+7v+12v29 .Ch. 8.2 - Multiply: 3a21a29a+14a243a+6 .Ch. 8.2 - Multiply: b2bb2+9b10b2100b210b .Ch. 8.2 - Divide: c+35cc29c5 .Ch. 8.2 - Divide: 2dd44d24d .Ch. 8.2 - Divide: 2m2m28m8m2+24mm2+m6 .Ch. 8.2 - Divide: 15n23n2+33n5n5n2+9n22 .Ch. 8.2 - Divide: 3a28a3a2253a214a5a2+10a+25 .Ch. 8.2 - Divide: 4b2+7b21b24b2+15b4b22b+1 .Ch. 8.2 - Divide: x383x26x+12x246 .Ch. 8.2 - Divide: 2z2z21z3z2+zz31 .Ch. 8.2 - Divide: 2x214x164(x2+2x+1) .Ch. 8.2 - Divide: y26y+8y24y(3y212y) .Ch. 8.2 - Divide: 3x2+7x+24x+243x214x5x2+x30 .Ch. 8.2 - Divide: y2362y2+11y62y22y608y4 .Ch. 8.2 - Divide: 4m+43m15m23m10m24m3212m366m48 .Ch. 8.2 - Divide: 2n2+10nn1n2+10n+24n2+8n9n+48n2+12n .Ch. 8.2 - In the following exercises, multiply. 73. 1216410Ch. 8.2 - In the following exercises, multiply. 74. 3251624Ch. 8.2 - In the following exercises, multiply. 75. 1810430Ch. 8.2 - In the following exercises, multiply. 76. 21364524Ch. 8.2 - In the following exercises, multiply. 77....Ch. 8.2 - In the following exercises, multiply. 78....Ch. 8.2 - In the following exercises, multiply. 79....Ch. 8.2 - In the following exercises, multiply. 80....Ch. 8.2 - In the following exercises, multiply. 81....Ch. 8.2 - In the following exercises, multiply. 82....Ch. 8.2 - In the following exercises, multiply. 83....Ch. 8.2 - In the following exercises, multiply. 84....Ch. 8.2 - In the following exercises, multiply. 85....Ch. 8.2 - In the following exercises, multiply. 86....Ch. 8.2 - In the following exercises, multiply. 87....Ch. 8.2 - In the following exercises, multiply. 88....Ch. 8.2 - In the following exercises, multiply. 89....Ch. 8.2 - In the following exercises, multiply. 90....Ch. 8.2 - In the following exercises, multiply. 91....Ch. 8.2 - In the following exercises, multiply. 92....Ch. 8.2 - In the following exercises, multiply. 93....Ch. 8.2 - In the following exercises, multiply. 94....Ch. 8.2 - In the following exercises, multiply. 95....Ch. 8.2 - In the following exercises, multiply. 96....Ch. 8.2 - the following exercises, divide. 97. t63tt29t5Ch. 8.2 - In the following exercises, divide. 98....Ch. 8.2 - In the following exercises, divide. 99....Ch. 8.2 - In the following exercises, divide. 100....Ch. 8.2 - In the following exercises, divide. 101....Ch. 8.2 - In the following exercises, divide. 102....Ch. 8.2 - In the following exercises, divide. 103....Ch. 8.2 - In the following exercises, divide. 104....Ch. 8.2 - In the following exercises, divide. 105....Ch. 8.2 - In the following exercises, divide. 106....Ch. 8.2 - In the following exercises, divide. 107....Ch. 8.2 - In the following exercises, divide. 108....Ch. 8.2 - In the following exercises, divide. 109....Ch. 8.2 - In the following exercises, divide. 110....Ch. 8.2 - In the following exercises, divide. 111....Ch. 8.2 - In the following exercises, divide. 112....Ch. 8.2 - In the following exercises, divide. 113....Ch. 8.2 - In the following exercises, divide. 114....Ch. 8.2 - In the following exercises, divide. 115....Ch. 8.2 - In the following exercises, divide. 116....Ch. 8.2 - In the following exercises, divide. 117....Ch. 8.2 - In the following exercises, divide. 118....Ch. 8.2 - In the following exercises, divide. 119....Ch. 8.2 - In the following exercises, divide. 120....Ch. 8.2 - In the following exercises, divide. 121....Ch. 8.2 - In the following exercises, divide. 122....Ch. 8.2 - In the following exercises, divide. 123....Ch. 8.2 - In the following exercises, divide. 124....Ch. 8.2 - Probability The director of large company is...Ch. 8.2 - Area of a triangle The area of a triangle with...Ch. 8.2 - Multiply a. 74910 and explain all your steps. b....Ch. 8.2 - a. Divide 2456and explain all your steps. b....Ch. 8.3 - Add: 716+516 .Ch. 8.3 - Add: 310+110 .Ch. 8.3 - Add: 5x2x+3+22x+3 .Ch. 8.3 - Add; xx2+1x2 .Ch. 8.3 - Add; 9x+14x+7+x2x+7 .Ch. 8.3 - Add: x2+8xx+5+15x+5 .Ch. 8.3 - Subtract: x2x+39x+3 .Ch. 8.3 - Subtract: 4x22x5252x5 .Ch. 8.3 - Subtract: n2n4n+12n4 .Ch. 8.3 - Subtract: y2y19y8y1 .Ch. 8.3 - Subtract: 4x211x+8x23x+23x2+x3x23x+2 .Ch. 8.3 - Subtract: 6x2x+20x2815x2+11x7x281 .Ch. 8.3 - Add: 8x152x5+2x52x .Ch. 8.3 - Add: 6y2+7y104y7+2y2+2y+1174y .Ch. 8.3 - Subtract: y25yy246y64y2 .Ch. 8.3 - Subtract: 2n2+8n1n21n27n11n2 .Ch. 8.3 - In the following exercises, add. 129. 215+715Ch. 8.3 - In the following exercises, add. 130. 421+321Ch. 8.3 - In the following exercises, add. 131. 724+1124Ch. 8.3 - In the following exercises, add. 132. 736+1336Ch. 8.3 - In the following exercises, add. 133. 3aab+1abCh. 8.3 - In the following exercises, add. 134. 3c4c5+54c5Ch. 8.3 - In the following exercises, add. 135. dd+8+5d+8Ch. 8.3 - In the following exercises, add. 136. 7m2m+n+42m+nCh. 8.3 - In the following exercises, add. 137....Ch. 8.3 - In the following exercises, add. 138....Ch. 8.3 - In the following exercises, add. 139....Ch. 8.3 - In the following exercises, add. 140....Ch. 8.3 - In the following exercises, add. 141....Ch. 8.3 - In the following exercises, add. 142....Ch. 8.3 - In the following exercises, add. 143....Ch. 8.3 - In the following exercises, add. 144....Ch. 8.3 - In the following exercises, subtract. 145....Ch. 8.3 - In the following exercises, subtract. 146....Ch. 8.3 - In the following exercises, subtract. 147....Ch. 8.3 - In the following exercises, subtract. 148....Ch. 8.3 - In the following exercises, subtract. 149....Ch. 8.3 - In the following exercises, subtract. 150....Ch. 8.3 - In the following exercises, subtract. 151....Ch. 8.3 - In the following exercises, subtract. 152....Ch. 8.3 - In the following exercises, subtract. 153....Ch. 8.3 - In the following exercises, subtract. 154....Ch. 8.3 - In the following exercises, subtract. 155....Ch. 8.3 - In the following exercises, subtract. 156....Ch. 8.3 - In the following exercises, add. 157....Ch. 8.3 - In the following exercises, add. 158....Ch. 8.3 - In the following exercises, add. 159....Ch. 8.3 - In the following exercises, add. 160....Ch. 8.3 - In the following exercises, subtract. 161....Ch. 8.3 - In the following exercises, subtract. 162....Ch. 8.3 - In the following exercises, subtract. 163....Ch. 8.3 - In the following exercises, subtract. 164....Ch. 8.3 - Sarah ran 8 miles and then biked 24 miles. Her...Ch. 8.3 - If Pete can paint a wall in p hours, then in one...Ch. 8.3 - Donald thinks that 3x+4x is 72x . Is Donald...Ch. 8.3 - Explain how you find the Least Common Denominator...Ch. 8.4 - Find the LCD for 2x2x12 , 1x216 .Ch. 8.4 - Find the LCD for xx2+8x+15 , 5x2+9x+18 .Ch. 8.4 - Rewrite as equivalent rational expressions with...Ch. 8.4 - Rewrite as equivalent rational expressions with...Ch. 8.4 - Add: 1130+712 .Ch. 8.4 - Add: 38+920 .Ch. 8.4 - Add: 215a2b+56ab2 .Ch. 8.4 - Add: 516c+38cd2 .Ch. 8.4 - Add: 2x2+5x+3 .Ch. 8.4 - Add: 4m+3+3m+4 .Ch. 8.4 - Add: 5xxyy2+2xx2+y2 .Ch. 8.4 - Add: 72m+6+4m2+4m+3 .Ch. 8.4 - Add: 1m2m2+5mm2+3m+2 .Ch. 8.4 - Add: 2nn23n10+6n2+5n+6 .Ch. 8.4 - Subtract: yy+4y2y5 .Ch. 8.4 - Subtract: z+3z+2zz+3 .Ch. 8.4 - Subtract: 2xx241x+2 .Ch. 8.4 - Subtract: 3z+36zz29 .Ch. 8.4 - Subtract: 3x1x25x626x .Ch. 8.4 - Subtract: 2y2y2+2y8y12y .Ch. 8.4 - Subtract: 2x+1x73 .Ch. 8.4 - Subtract: 4y+32y15Ch. 8.4 - Simplify: vv+1+3v16v21 .Ch. 8.4 - Simplify: 3ww+2+2w+717w+4w2+9w+14 .Ch. 8.4 - In the following exercises, find the LCD. 169....Ch. 8.4 - In the following exercises, find the LCD. 170....Ch. 8.4 - In the following exercises, find the LCD. 171....Ch. 8.4 - In the following exercises, find the LCD. 172....Ch. 8.4 - In the following exercises, find the LCD. 173....Ch. 8.4 - the following exercises, find the LCD. 174....Ch. 8.4 - In the following exercises, find the LCD. 175....Ch. 8.4 - In the following exercises, find the LCD. 176....Ch. 8.4 - In the following exercises, write as equivalent...Ch. 8.4 - In the following exercises, write as equivalent...Ch. 8.4 - In the following exercises, write as equivalent...Ch. 8.4 - In the following exercises, write as equivalent...Ch. 8.4 - In the following exercises, write as equivalent...Ch. 8.4 - In the following exercises, write as equivalent...Ch. 8.4 - In the following exercises, write as equivalent...Ch. 8.4 - In the following exercises, write as equivalent...Ch. 8.4 - In the following exercises, add. 185. 524+1136Ch. 8.4 - In the following exercises, add. 186. 730+1345Ch. 8.4 - In the following exercises, add. 187. 920+1130Ch. 8.4 - In the following exercises, add. 188. 827+718Ch. 8.4 - In the following exercises, add. 189....Ch. 8.4 - In the following exercises, add. 190....Ch. 8.4 - In the following exercises, add. 191. 12m+78m2nCh. 8.4 - In the following exercises, add. 192. 56p2q+14pCh. 8.4 - In the following exercises, add. 193. 3r+4+2r5Ch. 8.4 - In the following exercises, add. 194. 4s7+5s+3Ch. 8.4 - In the following exercises, add. 195. 8t+5+6t5Ch. 8.4 - In the following exercises, add. 196. 7v+5+9v5Ch. 8.4 - In the following exercises, add. 197. 53w2+2w+1Ch. 8.4 - In the following exercises, add. 198. 42x+5+2x1Ch. 8.4 - In the following exercises, add. 199. 2yy+3+3y1Ch. 8.4 - In the following exercises, add. 200. 3zz2+1z+5Ch. 8.4 - In the following exercises, add. 201....Ch. 8.4 - In the following exercises, add. 202. 4cd+3c+1d29Ch. 8.4 - In the following exercises, add. 203....Ch. 8.4 - In the following exercises, add. 204. 34n+4+6n2n2Ch. 8.4 - In the following exercises, add. 205....Ch. 8.4 - In the following exercises, add. 206....Ch. 8.4 - In the following exercises, add. 207....Ch. 8.4 - In the following exercises, add. 208....Ch. 8.4 - In the following exercises, subtract. 209....Ch. 8.4 - In the following exercises, subtract. 210....Ch. 8.4 - In the following exercises, subtract. 211....Ch. 8.4 - In the following exercises, subtract. 212....Ch. 8.4 - In the following exercises, subtract. 213....Ch. 8.4 - In the following exercises, subtract. 214....Ch. 8.4 - In the following exercises, subtract. 215....Ch. 8.4 - In the following exercises, subtract. 216....Ch. 8.4 - In the following exercises, subtract. 217....Ch. 8.4 - In the following exercises, subtract. 218....Ch. 8.4 - In the following exercises, subtract. 219....Ch. 8.4 - In the following exercises, subtract. 220....Ch. 8.4 - In the following exercises, subtract. 221....Ch. 8.4 - In the following exercises, subtract. 222....Ch. 8.4 - In the following exercises, subtract. 223....Ch. 8.4 - In the following exercises, subtract. 224....Ch. 8.4 - In the following exercises, subtract. 225. 5v2v+34Ch. 8.4 - In the following exercises, subtract. 226....Ch. 8.4 - In the following exercises, subtract. 227....Ch. 8.4 - In the following exercises, subtract. 228....Ch. 8.4 - In the following exercises, add and subtract. 229....Ch. 8.4 - In the following exercises, add and subtract. 230....Ch. 8.4 - In the following exercises, add and subtract. 231....Ch. 8.4 - In the following exercises, add and subtract. 232....Ch. 8.4 - In the following exercises, simplify. 233....Ch. 8.4 - In the following exercises, simplify. 234....Ch. 8.4 - In the following exercises, simplify. 235....Ch. 8.4 - In the following exercises, simplify. 236....Ch. 8.4 - In the following exercises, simplify. 237....Ch. 8.4 - In the following exercises, simplify. 238....Ch. 8.4 - In the following exercises, simplify. 239....Ch. 8.4 - In the following exercises, simplify. 240....Ch. 8.4 - In the following exercises, simplify. 241....Ch. 8.4 - In the following exercises, simplify. 242....Ch. 8.4 - In the following exercises, simplify. 243....Ch. 8.4 - In the following exercises, simplify. 244....Ch. 8.4 - In the following exercises, simplify. 245....Ch. 8.4 - In the following exercises, simplify. 246. 3y1y+42Ch. 8.4 - In the following exercises, simplify. 247....Ch. 8.4 - In the following exercises, simplify. 248....Ch. 8.4 - In the following exercises, simplify. 249....Ch. 8.4 - In the following exercises, simplify. 250....Ch. 8.4 - Decorating cupcakes Victoria can decorate an order...Ch. 8.4 - Kayaking When Trina kayaks upriver, it takes her...Ch. 8.4 - Felipe thinks 1x+1y is 2x+y . a. Choose numerical...Ch. 8.4 - Simplify the expression 4n2+6n+91n29 and explain...Ch. 8.5 - Simplify: 2x213x+1 .Ch. 8.5 - Simplify: 1x27x+122x4 .Ch. 8.5 - Simplify: 12+2356+112 .Ch. 8.5 - Simplify: 341318+56 .Ch. 8.5 - Simplify: 1x+1y1x1y .Ch. 8.5 - Simplify: 1a+1b1a21b2 .Ch. 8.5 - Simplify: b3bb+52b+5+1b5 .Ch. 8.5 - Simplify: 13c+41c+4+c3 .Ch. 8.5 - Simplify: 12+15110+15 .Ch. 8.5 - Simplify: 14+3812516 .Ch. 8.5 - Simplify: 1a+1babba .Ch. 8.5 - Simplify: 1x21y21x+1y .Ch. 8.5 - Simplify: 3x+25x2+3x24 .Ch. 8.5 - Simplify: 2x71x+76x+71x249 .Ch. 8.5 - Simplify: 3x2+7x+104x+2+1x+5Ch. 8.5 - Simplify: 4yy+5+2y+63yy2+11y+30 .Ch. 8.5 - Simplify: xx+31+1x+3 .Ch. 8.5 - Simplify: 1+1x13x+1 .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....Ch. 8.5 - In the following exercises, simplify. 259....Ch. 8.5 - In the following exercises, simplify. 260....Ch. 8.5 - In the following exercises, simplify. 261....Ch. 8.5 - In the following exercises, simplify. 262....Ch. 8.5 - In the following exercises, simplify. 263....Ch. 8.5 - In the following exercises, simplify. 264....Ch. 8.5 - In the following exercises, simplify. 265....Ch. 8.5 - In the following exercises, simplify. 266....Ch. 8.5 - In the following exercises, simplify. 267....Ch. 8.5 - In the following exercises, simplify. 268....Ch. 8.5 - In the following exercises, simplify. 269....Ch. 8.5 - In the following exercises, simplify. 270....Ch. 8.5 - In the following exercises, simplify. 271....Ch. 8.5 - In the following exercises, simplify. 272....Ch. 8.5 - In the following exercises, simplify. 273....Ch. 8.5 - In the following exercises, simplify. 274....Ch. 8.5 - In the following exercises, simplify. 275....Ch. 8.5 - In the following exercises, simplify. 276....Ch. 8.5 - In the following exercises, simplify. 277....Ch. 8.5 - In the following exercises, simplify. 278....Ch. 8.5 - In the following exercises, simplify. 279....Ch. 8.5 - In the following exercises, simplify. 280....Ch. 8.5 - In the following exercises, simplify. 281....Ch. 8.5 - In the following exercises, simplify. 282....Ch. 8.5 - In the following exercises, simplify. 283....Ch. 8.5 - In the following exercises, simplify. 284....Ch. 8.5 - In the following exercises, simplify. 285....Ch. 8.5 - In the following exercises, simplify. 286....Ch. 8.5 - In the following exercises, simplify. 287....Ch. 8.5 - In the following exercises, simplify. 288....Ch. 8.5 - In the following exercises, simplify. 289....Ch. 8.5 - In the following exercises, simplify. 290....Ch. 8.5 - In the following exercises, use either method....Ch. 8.5 - In the following exercises, use either method....Ch. 8.5 - In the following exercises, use either method....Ch. 8.5 - In the following exercises, use either method....Ch. 8.5 - In the following exercises, use either method....Ch. 8.5 - In the following exercises, use either method....Ch. 8.5 - In the following exercises, use either method....Ch. 8.5 - In the following exercises, use either method....Ch. 8.5 - Electronics The resistance of a circuit formed by...Ch. 8.5 - Ironing Lenore can do the ironing for her family’s...Ch. 8.5 - In this section, you learned to simplify the...Ch. 8.5 - Efraim wants to start simplifying the complex...Ch. 8.6 - Solve: 1y+23=15 .Ch. 8.6 - Solve: 23+15=1x .Ch. 8.6 - Solve: 12a=15a2 .Ch. 8.6 - Solve: 14b=12b2 .Ch. 8.6 - Solve: 1x1=23x .Ch. 8.6 - Solve: 35n+1=23n .Ch. 8.6 - Solve: 2x+1+1x1=1x21 .Ch. 8.6 - Solve: 5y+3+2y3=5y29 .Ch. 8.6 - Solve: 2x+51x1=1 .Ch. 8.6 - Solve: 3x+82x2=1 .Ch. 8.6 - Solve: x+13x27x+10=6x54x2 .Ch. 8.6 - Solve: y14y2+3y4=2y+4+7y1 .Ch. 8.6 - Solve: x18+x+69x=23x .Ch. 8.6 - Solve: y+55y+y15=1y .Ch. 8.6 - Solve: xx+4=32x216+5 .Ch. 8.6 - Solve: yy+8=128y264+9 .Ch. 8.6 - Solve: y5y1053y+6=2y219y+5415y260 .Ch. 8.6 - Solve: z2z+834z8=3z216z68z2+8z64 .Ch. 8.6 - Solve: AL=W for L.Ch. 8.6 - Solve: FA=W for A.Ch. 8.6 - Solve: y2x+1=23 for x.Ch. 8.6 - Solve: x=y1y for y.Ch. 8.6 - Solve: 1a+1b=c for a.Ch. 8.6 - Solve: 2x+13=1y for y.Ch. 8.6 - In the following exercises, solve. 303. 1a+25=12Ch. 8.6 - In the following exercises, solve. 304. 56+3b=13Ch. 8.6 - In the following exercises, solve. 305. 521c=34Ch. 8.6 - In the following exercises, solve. 306. 632d=49Ch. 8.6 - In the following exercises, solve. 307. 45+14=2vCh. 8.6 - In the following exercises, solve. 308. 37+23=1wCh. 8.6 - In the following exercises, solve. 309. 79+1x=23Ch. 8.6 - In the following exercises, solve. 310. 38+2y=14Ch. 8.6 - In the following exercises, solve. 311. 12m=8m2Ch. 8.6 - In the following exercises, solve. 312. 1+4n=21n2Ch. 8.6 - In the following exercises, solve. 313. 1+9p=20p2Ch. 8.6 - In the following exercises, solve. 314. 17q=6q2Ch. 8.6 - In the following exercises, solve. 315. 1r+3=42rCh. 8.6 - In the following exercises, solve. 316. 3t6=1tCh. 8.6 - In the following exercises, solve. 317. 53v2=74vCh. 8.6 - In the following exercises, solve. 318. 82w+1=3wCh. 8.6 - In the following exercises, solve. 319....Ch. 8.6 - In the following exercises, solve. 320....Ch. 8.6 - In the following exercises, solve. 321....Ch. 8.6 - In the following exercises, solve. 322....Ch. 8.6 - In the following exercises, solve. 323. 1q+47q2=1Ch. 8.6 - In the following exercises, solve. 324. 3r+104r4=1Ch. 8.6 - In the following exercises, solve. 325. 1t+75t5=1Ch. 8.6 - In the following exercises, solve. 326. 2s+73s3=1Ch. 8.6 - In the following exercises, solve. 327....Ch. 8.6 - In the following exercises, solve. 328....Ch. 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....Ch. 8.6 - In the following exercises, solve. 332....Ch. 8.6 - In the following exercises, solve. 333....Ch. 8.6 - In the following exercises, solve. 334....Ch. 8.6 - In the following exercises, solve. 335....Ch. 8.6 - In the following exercises, solve. 336....Ch. 8.6 - In the following exercises, solve. 337....Ch. 8.6 - In the following exercises, solve. 338....Ch. 8.6 - In the following exercises, solve. 339....Ch. 8.6 - In the following exercises, solve. 340....Ch. 8.6 - In the following exercises, solve. 341....Ch. 8.6 - In the following exercises, solve. 342....Ch. 8.6 - In the following exercises, solve. 343. Cr=2 for rCh. 8.6 - In the following exercises, solve. 344. Ir=P for rCh. 8.6 - In the following exercises, solve. 345. Vh=lw for...Ch. 8.6 - In the following exercises, solve. 346. 2Ab=h for...Ch. 8.6 - In the following exercises, solve. 347. v+3w1=12...Ch. 8.6 - In the following exercises, solve. 348. x+52y=43...Ch. 8.6 - In the following exercises, solve. 349. a=b+3c2...Ch. 8.6 - In the following exercises, solve. 350. m=n2n for...Ch. 8.6 - In the following exercises, solve. 351. 1p+2q=4...Ch. 8.6 - In the following exercises, solve. 352. 3s+1t=2...Ch. 8.6 - In the following exercises, solve. 353. 2v+15=12...Ch. 8.6 - In the following exercises, solve. 354. 6x+23=1y...Ch. 8.6 - In the following exercises, solve. 354. m+3n2=45...Ch. 8.6 - In the following exercises, solve. 356. Ec=m2 for...Ch. 8.6 - In the following exercises, solve. 357. 3x5y=14...Ch. 8.6 - In the following exercises, solve. 358. RT=W for TCh. 8.6 - In the following exercises, solve. 359. r=s3t for...Ch. 8.6 - In the following exercises, solve. 360. c=2a+b5...Ch. 8.6 - House Painting Alain can paint a house in 4 days....Ch. 8.6 - Boating An can drive his boat 18 miles with the...Ch. 8.6 - Why is there no solution to the equation 3x2=5x2 ?Ch. 8.6 - Pete thinks the equation yy+6=72y236+4 has two...Ch. 8.7 - Solve the proportion: n84=1112 .Ch. 8.7 - Solve the proportion: y96=1312 .Ch. 8.7 - Solve the proportion: 91b=75 .Ch. 8.7 - Solve the proportion: 39c=138 .Ch. 8.7 - Solve the proportion: yy+55=38 .Ch. 8.7 - Solve the proportion: zz84=15 .Ch. 8.7 - Solve : v+308=v+6612 .Ch. 8.7 - Solve: 2x+159=7x+315 .Ch. 8.7 - Pediatricians prescribe 5 milliliters (ml) of...Ch. 8.7 - For every 1 kilogram (kg) of a child’s weight...Ch. 8.7 - At a fast-food restaurant, a 22-ounce chocolate...Ch. 8.7 - Yaneli loves Starburst candies, but wants to keep...Ch. 8.7 - yurianna is going to Europe and wants to change...Ch. 8.7 - Corey and Nicole are traveling to Japan and need...Ch. 8.7 - ABC is similar to XYZ The lengths of two sides of...Ch. 8.7 - ABC is similar to XYZ. The lengths of two sides of...Ch. 8.7 - On the map, Seattle. Portland, and Boise form a...Ch. 8.7 - Using the map above, find the distance from...Ch. 8.7 - A telephone pole casts a shadow that s 50 feet...Ch. 8.7 - A pine tree casts a shadow of 80 feet next to a...Ch. 8.7 - In the following exercises, solve. 365. x56=78Ch. 8.7 - In the following exercises, solve. 366. n91=813Ch. 8.7 - In the following exercises, solve. 367. 4963=z9Ch. 8.7 - In the following exercises, solve. 368. 5672=y9Ch. 8.7 - In the following exercises, solve. 369. 5a=65117Ch. 8.7 - In the following exercises, solve. 370. 4b=64144Ch. 8.7 - In the following exercises, solve. 371. 98154=7pCh. 8.7 - In the following exercises, solve. 372. 72156=6qCh. 8.7 - In the following exercises, solve. 373. a8=4248Ch. 8.7 - In the following exercises, solve. 374. b7=3042Ch. 8.7 - In the following exercises, solve. 375....Ch. 8.7 - In the following exercises, solve. 376....Ch. 8.7 - In the following exercises, solve. 377. aa+12=47Ch. 8.7 - In the following exercises, solve. 278. bb16=119Ch. 8.7 - In the following exercises, solve. 379. cc104=58Ch. 8.7 - In the following exercises, solve. 380. dd48=133Ch. 8.7 - In the following exercises, solve. 381....Ch. 8.7 - In the following exercises, solve. 382. n+104=40n6Ch. 8.7 - In the following exercises, solve. 383....Ch. 8.7 - In the following exercises, solve. 384. q22=2q718Ch. 8.7 - In the following exercises, solve. 385....Ch. 8.7 - In the following exercises, solve. 386. Brianna,...Ch. 8.7 - In the following exercises, solve. 387. A...Ch. 8.7 - In the following exercises, solve.388. Belle, a 13...Ch. 8.7 - In the following exercises, solve. 389. A new...Ch. 8.7 - In the following exercises, solve. 390. One 12...Ch. 8.7 - In the following exercises, solve. 391. A new 7...Ch. 8.7 - In the following exercises, solve. 392. Reese...Ch. 8.7 - In the following exercises, solve. 393. Janice is...Ch. 8.7 - In the following exercises, solve. 394. Todd is...Ch. 8.7 - In the following exercises, solve. 395. Steve...Ch. 8.7 - In the following exercises, solve. 396. Martha...Ch. 8.7 - In the following exercises, solve. 397. When...Ch. 8.7 - In the following exercises, solve. 398. A...Ch. 8.7 - In the following exercises, solve. 399. Ronald...Ch. 8.7 - In the following exercises, solve. 400. Sarah...Ch. 8.7 - In the following exercises, solve. 401. Elizabeth...Ch. 8.7 - In the following exercises, solve. 402. Ben needs...Ch. 8.7 - In the following exercises, solve. 403. A golden...Ch. 8.7 - In the following exercises, solve. 404....Ch. 8.7 - In the following exercises, solve. 405. Karen eats...Ch. 8.7 - In the following exercises, solve. 406. An oatmeal...Ch. 8.7 - In the following exercises, ABC is similar to XYZ...Ch. 8.7 - In the following exercises, ABC is similar to XYZ...Ch. 8.7 - In the following exercises, DEF is similar to NPQ...Ch. 8.7 - In the following exercises, DEF is similar to NPQ...Ch. 8.7 - In the following two exercises, use the map shown....Ch. 8.7 - In the following two exercises, use the map shown....Ch. 8.7 - In the following two exercises, use the map shown....Ch. 8.7 - In the following two exercises, use the map shown....Ch. 8.7 - In the following two exercises, use the map shown....Ch. 8.7 - In the following two exercises, use the map shown....Ch. 8.7 - In the following two exercises, use the map shown....Ch. 8.7 - In the following two exercises, use the map shown....Ch. 8.7 - Heart Rate At the gym, Carol takes her pulse for...Ch. 8.7 - Heart Rate Kevin wants to keep his heart rate at...Ch. 8.7 - Cost of a Road Trip Jesse’s car gets 30 miles per...Ch. 8.7 - Cost of a Road Trip Danny wants to drive to...Ch. 8.7 - Lawn Fertilizer Phil wants to fertilize his lawn....Ch. 8.7 - House Paint April wants to paint the exterior of...Ch. 8.7 - Cooking Natalia’s pasta recipe calls for 2 pounds...Ch. 8.7 - Heating Oil A 275 gallon oil tank costs $400 to...Ch. 8.7 - Marisol solves the proportion 144a=94 by ‘cross...Ch. 8.7 - Find a printed map and then write and solve an...Ch. 8.8 - Link can ride his bike 20 miles into a 3 mph...Ch. 8.8 - Judy can sail her boat 5 miles into a 7 mph...Ch. 8.8 - Dennis went cross-country skiing for 6 hours on...Ch. 8.8 - Tony drove 4 hours to his home, driving 208 miles...Ch. 8.8 - Kayla rode her bike 75 miles home from college one...Ch. 8.8 - Victoria jogs 12 miles to the park along a flat...Ch. 8.8 - One gardener can mow a golf course in 4 hours,...Ch. 8.8 - Carrie can weed the garden in 7 hours, while her...Ch. 8.8 - Two hoses can fill a swimming pool in 10 hours. It...Ch. 8.8 - Cara and Cindy, working together, can rake the...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve work...Ch. 8.8 - In the following exercises, solve work...Ch. 8.8 - In the following exercises, solve work...Ch. 8.8 - In the following exercises, solve work...Ch. 8.8 - In the following exercises, solve work...Ch. 8.8 - In the following exercises, solve work...Ch. 8.8 - In the following exercises, solve work...Ch. 8.8 - In the following exercises, solve work...Ch. 8.8 - In the following exercises, solve work...Ch. 8.8 - In the following exercises, solve work...Ch. 8.8 - In the following exercises, solve work...Ch. 8.8 - In the following exercises, solve work...Ch. 8.8 - Dana enjoys taking her dog for a walk, but...Ch. 8.8 - Ken and Joe leave their apartment to go to a...Ch. 8.8 - In Example 8.83, the solution h=4 is crossed out....Ch. 8.8 - Paula and Yuki are roommates. It takes Paula 3...Ch. 8.9 - If y varies directly as x and y=3 , when x=10 ,...Ch. 8.9 - If y varies directly as x and y=12 when x=4 find...Ch. 8.9 - The number of calories, c, burned varies directly...Ch. 8.9 - The distance a moving body travels, d, varies...Ch. 8.9 - The distance that Brad travels varies directly...Ch. 8.9 - The weight of a liquid varies directly as its...Ch. 8.9 - The distance an object falls is directly...Ch. 8.9 - The area of a circle varies directly as the square...Ch. 8.9 - If p varies inversely with q and p=30 when q=12...Ch. 8.9 - If y varies inversely with x and y=8 when x=2 find...Ch. 8.9 - A car’s value varies inversely with its age. Elena...Ch. 8.9 - The time required to empty a pool varies inversely...Ch. 8.9 - The number of hours it takes for ice to melt...Ch. 8.9 - The force needed to break a board varies inversely...Ch. 8.9 - In the following exercises, solve. 463. If y...Ch. 8.9 - In the following exercises, solve. 464. If p...Ch. 8.9 - In the following exercises, solve. 465. If v...Ch. 8.9 - In the following exercises, solve. 466. If a...Ch. 8.9 - In the following exercises, solve. 467. If p...Ch. 8.9 - In the following exercises, solve. 468. If y...Ch. 8.9 - In the following exercises, solve. 469. If a...Ch. 8.9 - In the following exercises, solve. 470. If V...Ch. 8.9 - In the following exercises, solve. 471. The amount...Ch. 8.9 - In the following exercises, solve. 472. The price,...Ch. 8.9 - In the following exercises, solve. 473. Terri...Ch. 8.9 - In the following exercises, solve. 474. Joseph is...Ch. 8.9 - In the following exercises, solve. 475. The price...Ch. 8.9 - In the following exercises, solve. 476. The...Ch. 8.9 - In the following exercises, solve. 477. The mass...Ch. 8.9 - In the following exercises, solve. 478. The length...Ch. 8.9 - In the following exercises, solve. 479. The...Ch. 8.9 - In the following exercises, solve. 480. The...Ch. 8.9 - In the following exercises, solve. 481. The area...Ch. 8.9 - In the following exercises, solve. 482. The...Ch. 8.9 - In the following exercises, solve. 483. If v...Ch. 8.9 - In the following exercises, solve. 484. If p...Ch. 8.9 - In the following exercises, solve. 485. If v...Ch. 8.9 - In the following exercises, solve. 486. If a...Ch. 8.9 - Write an inverse variation equation to solve the...Ch. 8.9 - Write an inverse variation equation to solve the...Ch. 8.9 - Write an inverse variation equation to solve the...Ch. 8.9 - Write an inverse variation equation to solve the...Ch. 8.9 - Write an inverse variation equation to solve the...Ch. 8.9 - Write an inverse variation equation to solve the...Ch. 8.9 - Write an inverse variation equation to solve the...Ch. 8.9 - Write an inverse variation equation to solve the...Ch. 8.9 - If y varies directly as x and y=5, when x=3 .,...Ch. 8.9 - If v varies directly as w and v=21 , when w=8 ....Ch. 8.9 - If p vanes inversely with q and p=5when q=6 , find...Ch. 8.9 - If y varies inversely with x and y=11 when x=3...Ch. 8.9 - If p varies directly as q and p=10 , when q=2 ....Ch. 8.9 - If v varies inversely with w and v=18 when w=13...Ch. 8.9 - The force needed to break a board varies inversely...Ch. 8.9 - The number of hours it takes for ice to melt...Ch. 8.9 - The length a spring stretches varies directly with...Ch. 8.9 - The amount that June gets paid varies directly the...Ch. 8.9 - The fuel consumption (mpg) of a car varies...Ch. 8.9 - The volume of a gas in a container varies...Ch. 8.9 - The distance an object falls varies directly to...Ch. 8.9 - The area of the face of a Ferris wheel varies...Ch. 8.9 - Ride Service It costs $35 for a ride from the city...Ch. 8.9 - Road Trip The number of hours it takes Jack to...Ch. 8.9 - In your own words, explain the difference between...Ch. 8.9 - Make up an example from your life experience of...Ch. 8 - In the following exercises, determine the values...Ch. 8 - In the following exercises, determine the values...Ch. 8 - In the following exercises, determine the values...Ch. 8 - In the following exercises, determine the values...Ch. 8 - In the following exercises, evaluate the rational...Ch. 8 - In the following exercises, evaluate the rational...Ch. 8 - In the following exercises, evaluate the rational...Ch. 8 - In the following exercises, evaluate the rational...Ch. 8 - In the following exercises, simplify. 521. 1024Ch. 8 - In the following exercises, simplify. 522....Ch. 8 - In the following exercises, simplify. 523. 14a14a1Ch. 8 - In the following exercises, simplify. 524....Ch. 8 - In the following exercises, simplify. 525. c2c24c2Ch. 8 - In the following exercises, simplify. 526. d1616dCh. 8 - In the following exercises, simplify. 527....Ch. 8 - In the following exercises, simplify. 528....Ch. 8 - In the following exercises, multiply. 529. 38215Ch. 8 - In the following exercises, multiply. 530....Ch. 8 - In the following exercises, multiply. 531....Ch. 8 - In the following exercises, multiply. 532....Ch. 8 - In the following exercises, divide. 533....Ch. 8 - In the following exercises, divide. 534....Ch. 8 - In the following exercises, divide. 535....Ch. 8 - In the following exercises, divide. 536....Ch. 8 - In the following exercises, divide. 537....Ch. 8 - In the following exercises, divide. 538....Ch. 8 - In the following exercises, add. 539. 35+25Ch. 8 - In the following exercises, add. 540. 4a22a112a1Ch. 8 - In the following exercises, add. 541....Ch. 8 - In the following exercises, add. 542. 3xx1+2x1Ch. 8 - In the following exercises, subtract. 543....Ch. 8 - In the following exercises, subtract. 544....Ch. 8 - In the following exercises, subtract. 545....Ch. 8 - In the following exercises, subtract. 546....Ch. 8 - In the following exercises, add and subtract. 547....Ch. 8 - In the following exercises, add and subtract. 548....Ch. 8 - In the following exercises, add and subtract. 549....Ch. 8 - In the following exercises, add and subtract. 550....Ch. 8 - In the following exercises, find the LCD. 551....Ch. 8 - In the following exercises, find the LCD. 552....Ch. 8 - In the following exercises, find the LCD. 553....Ch. 8 - In the following exercises, rewrite as equivalent...Ch. 8 - In the following exercises, rewrite as equivalent...Ch. 8 - In the following exercises, rewrite as equivalent...Ch. 8 - In the following exercises, add. 557. 23+35Ch. 8 - In the following exercises, add. 558. 75a+32bCh. 8 - In the following exercises, add. 559. 2c2+9c+3Ch. 8 - In the following exercises, add. 560....Ch. 8 - In the following exercises, add. 561....Ch. 8 - In the following exercises, add. 562....Ch. 8 - In the following exercises, subtract and add. 563....Ch. 8 - In the following exercises, subtract and add. 564....Ch. 8 - In the following exercises, subtract and add. 565....Ch. 8 - In the following exercises, subtract and add. 566....Ch. 8 - In the following exercises, subtract and add. 567....Ch. 8 - In the following exercises, subtract and add. 568....Ch. 8 - In the following exercises, simplify. 569....Ch. 8 - In the following exercises, simplify. 570....Ch. 8 - In the following exercises, simplify. 571....Ch. 8 - In the following exercises, simplify. 572....Ch. 8 - In the following exercises, simplify. 573....Ch. 8 - In the following exercises, simplify. 574....Ch. 8 - In the following exercises, simplify. 575....Ch. 8 - In the following exercises, simplify. 576....Ch. 8 - In the following exercises, solve. 577. 12+23=1xCh. 8 - In the following exercises, solve. 578. 12m=8m2Ch. 8 - In the following exercises, solve. 579....Ch. 8 - In the following exercises, solve. 580. 3q+82q2=1Ch. 8 - In the following exercises, solve. 581....Ch. 8 - In the following exercises, solve. 582....Ch. 8 - In the following exercises, solve for the...Ch. 8 - In the following exercises, solve for the...Ch. 8 - In the following exercises, solve for the...Ch. 8 - In the following exercises, solve for the...Ch. 8 - In the following exercises, solve. 587. x4=35Ch. 8 - In the following exercises, solve. 588. 3y=95Ch. 8 - In the following exercises, solve. 589. ss+20=37Ch. 8 - In the following exercises, solve. 590. t35=t+29Ch. 8 - In the following exercises, solve using...Ch. 8 - In the following exercises, solve using...Ch. 8 - In the following exercises, solve. 593. ABC is...Ch. 8 - In the following exercises, solve. 594. On a map...Ch. 8 - In the following exercises, solve. 595. Tony is...Ch. 8 - In the following exercises, solve. 596. The height...Ch. 8 - In the following exercises, solve. 597. When...Ch. 8 - In the following exercises, solve. 598. Mark is...Ch. 8 - In the following exercises, solve. 599. John can...Ch. 8 - In the following exercises, solve. 600. Mark was...Ch. 8 - In the following exercises, solve. 601. Jerry can...Ch. 8 - In the following exercises, solve. 602. Lisa takes...Ch. 8 - In the following exercises, solve. 603. Jeffrey...Ch. 8 - In the following exercises, solve. 604. Sue and...Ch. 8 - In the following exercises, solve. 605. If y...Ch. 8 - In the following exercises, solve. 606. If y...Ch. 8 - In the following exercises, solve. 607. If m...Ch. 8 - In the following exercises, solve. 608. Vanessa is...Ch. 8 - In the following exercises, solve. 609. If the...Ch. 8 - In the following exercises, solve. 610. The...Ch. 8 - In the following exercises, solve. 611. The number...Ch. 8 - In the following exercises, solve. 612. On a...Ch. 8 - In the following exercises, simplify. 613....Ch. 8 - In the following exercises, simplify. 614....Ch. 8 - In the following exercises, perform the indicated...Ch. 8 - In the following exercises, perform the indicated...Ch. 8 - In the following exercises, perform the indicated...Ch. 8 - In the following exercises, perform the indicated...Ch. 8 - In the following exercises, perform the indicated...Ch. 8 - In the following exercises, perform the indicated...Ch. 8 - In the following exercises, solve each equation....Ch. 8 - In the following exercises, solve each equation....Ch. 8 - In the following exercises, solve each equation....Ch. 8 - In the following exercises, solve each equation....Ch. 8 - In the following exercises, solve each equation....Ch. 8 - In the following exercises, solve. 626. If y...Ch. 8 - In the following exercises, solve. 627. If y...Ch. 8 - In the following exercises, solve. 628. If y...Ch. 8 - In the following exercises, solve. 629. The...Ch. 8 - In the following exercises, solve each equation....Ch. 8 - In the following exercises, solve. 631. Kurt can...Ch. 8 - In the following exercises, solve. 632. Amanda...Ch. 8 - In the following exercises, solve. 633. An...Ch. 8 - In the following exercises, solve. 634. Josh can...Ch. 8 - In the following exercises, solve. 635. The price...Ch. 8 - In the following exercises, solve. 636. The volume...Ch. 8 - In the following exercises, solve. 637. The cities...
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- 3 and = 5 3 ---8--8--8 Let = 3 U2 = 1 Select all of the vectors that are in the span of {u₁, u2, u3}. (Check every statement that is correct.) 3 ☐ A. The vector 3 is in the span. -1 3 ☐ B. The vector -5 75°1 is in the span. ГОЛ ☐ C. The vector 0 is in the span. 3 -4 is in the span. OD. The vector 0 3 ☐ E. All vectors in R³ are in the span. 3 F. The vector 9 -4 5 3 is in the span. 0 ☐ G. We cannot tell which vectors are i the span.arrow_forward(20 p) 1. Find a particular solution satisfying the given initial conditions for the third-order homogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y(3)+2y"-y-2y = 0; y(0) = 1, y'(0) = 2, y"(0) = 0; y₁ = e*, y2 = e¯x, y3 = e−2x (20 p) 2. Find a particular solution satisfying the given initial conditions for the second-order nonhomogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y"-2y-3y = 6; y(0) = 3, y'(0) = 11 yc = c₁ex + c2e³x; yp = −2 (60 p) 3. Find the general, and if possible, particular solutions of the linear systems of differential equations given below using the eigenvalue-eigenvector method. (See Section 7.3 in your textbook if you need a review of the subject.) = a) x 4x1 + x2, x2 = 6x1-x2 b) x=6x17x2, x2 = x1-2x2 c) x = 9x1+5x2, x2 = −6x1-2x2; x1(0) = 1, x2(0)=0arrow_forwardFind the perimeter and areaarrow_forward
- Assume {u1, U2, us} spans R³. Select the best statement. A. {U1, U2, us, u4} spans R³ unless u is the zero vector. B. {U1, U2, us, u4} always spans R³. C. {U1, U2, us, u4} spans R³ unless u is a scalar multiple of another vector in the set. D. We do not have sufficient information to determine if {u₁, u2, 43, 114} spans R³. OE. {U1, U2, 3, 4} never spans R³. F. none of the abovearrow_forwardAssume {u1, U2, 13, 14} spans R³. Select the best statement. A. {U1, U2, u3} never spans R³ since it is a proper subset of a spanning set. B. {U1, U2, u3} spans R³ unless one of the vectors is the zero vector. C. {u1, U2, us} spans R³ unless one of the vectors is a scalar multiple of another vector in the set. D. {U1, U2, us} always spans R³. E. {U1, U2, u3} may, but does not have to, span R³. F. none of the abovearrow_forwardLet H = span {u, v}. For each of the following sets of vectors determine whether H is a line or a plane. Select an Answer u = 3 1. -10 8-8 -2 ,v= 5 Select an Answer -2 u = 3 4 2. + 9 ,v= 6arrow_forward
- 3. Let M = (a) - (b) 2 −1 1 -1 2 7 4 -22 Find a basis for Col(M). Find a basis for Null(M).arrow_forwardSchoology X 1. IXL-Write a system of X Project Check #5 | Schx Thomas Edison essay, x Untitled presentation ixl.com/math/algebra-1/write-a-system-of-equations-given-a-graph d.net bookmarks Play Gimkit! - Enter... Imported Imported (1) Thomas Edison Inv... ◄›) What system of equations does the graph show? -8 -6 -4 -2 y 8 LO 6 4 2 -2 -4 -6 -8. 2 4 6 8 Write the equations in slope-intercept form. Simplify any fractions. y = y = = 00 S olo 20arrow_forwardEXERCICE 2: 6.5 points Le plan complexe est rapporté à un repère orthonormé (O, u, v ).Soit [0,[. 1/a. Résoudre dans l'équation (E₁): z2-2z+2 = 0. Ecrire les solutions sous forme exponentielle. I b. En déduire les solutions de l'équation (E2): z6-2 z³ + 2 = 0. 1-2 2/ Résoudre dans C l'équation (E): z² - 2z+1+e2i0 = 0. Ecrire les solutions sous forme exponentielle. 3/ On considère les points A, B et C d'affixes respectives: ZA = 1 + ie 10, zB = 1-ie 10 et zc = 2. a. Déterminer l'ensemble EA décrit par le point A lorsque e varie sur [0, 1. b. Calculer l'affixe du milieu K du segment [AB]. C. Déduire l'ensemble EB décrit par le point B lorsque varie sur [0,¹ [. d. Montrer que OACB est un parallelogramme. e. Donner une mesure de l'angle orienté (OA, OB) puis déterminer pour que OACB soit un carré.arrow_forward
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