Intermediate Algebra - 2e, 2017a

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Intermediate Algebra 2e SENIOR CONTRIBUTING AUTHORS LYNN MARECEK, SANTA ANA COLLEGE ANDREA HONEYCUTT MATHIS, NORTHEAST MISSISSIPPI COMMUNITY COLLEGE
Page 4 and 5: OpenStax Rice University 6100 Main
Page 6: Study where you want, what you want
Page 15: a b c d a b 5+6+2+5=18
Page 18 and 19: (2·2·3) (2·3·3) (2·
Page 20 and 21: Parentheses () Brackets [] Braces {
Page 22 and 23: Parentheses Exponents Multiplicatio
Page 24 and 25: c x = 3, a x 2 b 4 x c 3x 2 +
Page 26 and 27: a b
Page 29 and 30: 2 3 −12÷(9−5) 3 2 −18÷(11
Page 31 and 32: a b
Page 33 and 34: n |n| |n| ≥0 −5 is 5 units
Page 35 and 36: 24 − |19 − 3(6−2)| 24 − |
Page 37 and 38: a −2 + (−4) b −2 + 4 c 2 + (
Page 39 and 40: −3 − 1 −3 + (−1) 3−(
Page 41 and 42: 5·3=15 −5(3) = −15 5(−3) =
Page 43 and 44: a (−2) 4 b −2 4 .
Page 45 and 46: −12, 3. the sum of - 8 --- and
Page 47 and 48: , = a |−7|___ − |−7| b 6__
Page 49 and 50: y + (−14) a y = −33 b y =30 x
Page 51 and 52: 2 3 2 , 3 2 3
Page 53 and 54:
− 12 5 (−20x). 11
Page 55 and 56:
x 2 xy 6 x 2 ÷ xy 6 x 2 · 6xy
Page 57 and 58:
a · = ac b cd bd a c + b c = a
Page 59 and 60:
4(−3) +6(−2) −3(2) −2 −
Page 61 and 62:
2x 2 y x = 1 4 y =−2 3 . 2
Page 63 and 64:
− 39 56 − 22 35 − 3 4 −
Page 65 and 66:
0.1 = 10 1 0.01 = 100 1 0.001 = 1 1
Page 67 and 68:
c 6.582 a b c 15.
Page 69 and 70:
(−3.9)(4.075). (−3.9)(4.075)
Page 71 and 72:
−25.65 ÷ (−0.06).
Page 73 and 74:
a b a b a b a b
Page 75 and 76:
11 2 = 121 11 121 c − 144 −12
Page 77 and 78:
−7 −64=
Page 79 and 80:
a b c −16.53
Page 81 and 82:
a b
Page 83 and 84:
(10 − 3) −2≠10−(3−2) (24
Page 85 and 86:
4? 4
Page 87 and 88:
If a, b, and c are real numbers, th
Page 89 and 90:
− ⎛ ⎝y +5 ⎞ ⎠ −1 −1
Page 91 and 92:
of addition For any real number a,
Page 93 and 94:
7 ⎛ ⎝y −13 ⎞ ⎠ 1 4 ⎛
Page 95 and 96:
n 2 = m, n 2 = m,
Page 97 and 98:
a b
Page 99 and 100:
−a b = a −b =−a b .
Page 101 and 102:
If a, b, and c are real numbers, th
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a −27÷9 b 120 ÷ (−8) c 4(−1
Page 105 and 106:
−8, 0, 1.95286..., 12 5 , 36,9
Page 107 and 108:
3 (12x + 20). 2
Page 109 and 110:
y = 7 5 y = 7 5 5y +3=10y −4.
Page 111 and 112:
m =3. 1 (6u + 3) = 7 − u. 3
Page 113 and 114:
7y +14=7 ⎛ ⎝y +2 ⎞ ⎠.
Page 115 and 116:
6+14(k −8) = 95.
Page 117 and 118:
y = 12. 7 = 1 2 x + 3 4 x − 2
Page 119 and 120:
q =−5. 3r + 5 6 +1= 4r 3 + 3
Page 121 and 122:
6y +10=12y 4x +9=8x a y = 5 3 b y
Page 123 and 124:
2L +2(L − 2.5) = 74.
Page 126 and 127:
7·4+8 = ? 36 28 + 8 = ? 36 36 = 36
Page 128 and 129:
n =1 st n +1=2 nd n +2=3 rd −
Page 130 and 131:
h +2h − 16,000 = 110,000 h +2h
Page 132 and 133:
a = 1 4 1 4
Page 134 and 135:
amount of discount = discount rate
Page 136 and 137:
Let I = interest. I = Prt I = (950
Page 138:
Let P = principal borrowed. I = Prt
Page 141 and 142:
a b
Page 143 and 144:
2(x + 3) x = 5.
Page 145 and 146:
A = P + Prt A = P + Prt
Page 147 and 148:
180°. m ∠ A + m ∠ B + m
Page 149 and 150:
P =2L +2W W
Page 151 and 152:
Let x = length of 1 st side. x + 3
Page 153:
x = a 2 + b 2 = c 2 x 2 + x 2 =1
Page 158 and 159:
C = 5 (F −32) 9
Page 160 and 161:
0.25x + 0.10(x + 4).
Page 163 and 164:
3x −5= 10(0.35) + 25(0.49)
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x = 25 − x = 4.
Page 168 and 169:
+7 r + 7 = Dennis’ speed r = Wayn
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+ 15. Carina drove 65 mph(3 hou
Page 172 and 173:
+3. 30
Page 174:
Run 10 mph (1.5 hours) = 15 mi Bike
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15 > x. x >3
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2.5, 3, 3 2 ,4,4,99? 3
Page 183 and 184:
multiply or divide by a positive if
Page 185 and 186:
−2. −2 a −8q < 32 b k
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8x −2(5−x)
Page 190 and 191:
Let n = the number of tablets.
Page 192 and 193:
Let j = the number of invitations.
Page 194 and 195:
a x 3 b x ≤ −0.5 c x ≥ 1 3 a
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−5x > 10. n −3 < 12.
Page 199 and 200:
−3 2 −3
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1 x −4≥−2 −2(x −3) ≥4.
Page 203 and 204:
5−3x ≤−1 8+2x ≤5 5−3x
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x = 24.72 + 1.54x.
Page 207 and 208:
1x −3≤4 3x +2≤−1 2 4 1 3
Page 209 and 210:
−|7|. , = a |−8|___ −
Page 211 and 212:
|5x −4| −3=8. |3x − 5|
Page 213 and 214:
if |u| = |v| then u =−v or u = v
Page 215 and 216:
|5x −6| ≤4 −4 ≤ 5x −6≤4
Page 217 and 218:
|2x −3| ≥5. |2x −3| ≥5
Page 219 and 220:
a |x| =6 b |y| =−3 c |z| =0 a |x
Page 221 and 222:
a ≠0, ax + b =0.
Page 224 and 225:
x > a x ≥ a x < a x ≤ a
Page 226 and 227:
|u| > a is equivalent to u a |u|
Page 228:
V = LWH A = 1 2 d 1 d 2 d 2 . h
Page 231 and 232:
x ≤5 x >−3 4x −2≤4 5(3x
Page 233 and 234:
−5(2x +1) =45 1 4 (12m +28) =6+
Page 235 and 236:
5x − 4 x = −1. 3x − 2y
Page 237 and 238:
x =1 y =3 (1, 3).
Page 239 and 240:
Ax + By = C. Ax + By = C,
Page 241 and 242:
(0, 3), (3, −3), (−1, −5) y
Page 244 and 245:
y = 2x − 3. y = −2x + 4.
Page 246 and 247:
−3, −3. −3
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y =−1 −1. y =
Page 250 and 251:
y = −4x y = −4. y = 3 y =
Page 252 and 253:
a (4, 0). (4, 0). (0, 2). (
Page 254 and 255:
y =0. y =0. (4, 0) x =0. x =
Page 256 and 257:
- x + 3y = 6. y = 0
Page 258 and 259:
y =5x (0, 0).
Page 260 and 261:
a (−4, 2) b (−1, −2) c (3,
Page 262 and 263:
x − y =5 x − y =−4 3x + y =
Page 264 and 265:
(1 - 4) (8 − 2) . 0 4 , 4 0
Page 266 and 267:
y =4,
Page 268 and 269:
(x, y) (x 1 , y 1 ) rea
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(1, −1) m = 3 4 .
Page 272 and 273:
y = 1 x +3 2 (0, b)
Page 274 and 275:
Equation Method #1 x = 2 Vertical l
Page 276 and 277:
F = 9 5 C +32 F C = 20. F = 9 (2
Page 278 and 279:
d (0, 60) m = 0.5 m = 0.5 1
Page 280 and 281:
a 3x −2y =6 y = 3 x +1 b y =2x -
Page 282 and 283:
m 1 = 1 4 , m 2 =−4,
Page 285 and 286:
y =3 y =−2 x =−5 x =4 (2,
Page 287 and 288:
P = 31 + 1.75w a
Page 289 and 290:
y-intercept 2 (x + 15). 5
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(x 1 , y 1 ) (x, y).
Page 293 and 294:
y − y 1 = m(x − x 1 ). (−2
Page 295 and 296:
(−3, 5) (−3, 4). m = y 2 − y
Page 297 and 298:
y = 3x + 1 (4, 2). y =
Page 299 and 300:
y = 1 x − 3 (6, 4). 2
Page 301 and 302:
y = −5 (−4, −5).
Page 303 and 304:
m = 5 8 , (8, 3) m = 5 6 , (6, 7
Page 305 and 306:
(4, 3) (8, 1) (−2, 0) (−3
Page 307 and 308:
y > x +4: a (0, 0) b (1, 6) c (2, 6
Page 309 and 310:
y > x +4 y > x +4? (1, 6) (−
Page 311 and 312:
y =2x −1. y =2x −1
Page 313 and 314:
2x +3y =6 2x +3y >6
Page 315 and 316:
y ≥ 5 2 x − 4. y ≤ 2 3 x
Page 317 and 318:
y ≤−4x. y =−4x.
Page 319 and 320:
c (x, y) a
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y > x −1: y > x −3:
Page 323 and 324:
y ≥ 3 2 x. y ≤ 5 4 x.
Page 325 and 326:
3x − 5 x = −2 2x 2 − x
Page 327 and 328:
a b c a
Page 329 and 330:
{(9, −3), (4, −2), (1, −1), (
Page 331 and 332:
x =3, y =1. b y
Page 333 and 334:
c f (a), f (x) = 3x 2 −
Page 335 and 336:
t =5. N(5),
Page 337 and 338:
a b c
Page 339 and 340:
f (x) =3x 2 −5x; f (2) g(x) =4x
Page 341 and 342:
y =2x −3
Page 343 and 344:
y =2x −3 f (x) =2x −3
Page 345 and 346:
f (x) y = b. f (x) =
Page 347 and 348:
f (x) = x 3 . f (x) = x 3 .
Page 349 and 350:
f (x) = |x|.
Page 351 and 352:
a f (0). b f ⎛ ⎝ 3 2 π⎞
Page 353 and 354:
a f (0). b f (π). c f (−π).
Page 355 and 356:
a b f (x) =3x +4
Page 357 and 358:
a f (0). b f (−3). c f (3). d
Page 359 and 360:
Ax + By = C
Page 361 and 362:
m = y 2 − y 1 x 2 − x 1 y
Page 364 and 365:
a (−1, −5) b (−3, 4) c (2,
Page 366 and 367:
y =2 x =5 x =−3 y =−1 (
Page 368 and 369:
1 y −5 y y 3 (0, −3)
Page 370 and 371:
x + y =−4. x −2y =6.
Page 372 and 373:
2x + y =−3 y = x 2 y =3x −5
Page 374 and 375:
a f (0). b f ⎛ ⎝ 1 2 π⎞
Page 376 and 377:
y = 5 3 x −1 y =−x y =2
Page 379 and 380:
y = 2 3 x − 4, a (6, 0) b (−
Page 381:
⎧3x + y = 0 ⎨ ⎩ x + 2y =
Page 384 and 385:
(−1, 2). (−1, 2). ⎧ ⎨
Page 386 and 387:
⎧ y = − 3x − 6 ⎨ ⎩6x + 2y
Page 388 and 389:
⎧2x + y = −3 ⎨ ⎩x −5y = 5
Page 390 and 391:
⎧ ⎨ ⎩ 4x +2y =4 6x − y =8 .
Page 392 and 393:
⎧2x + y =7 ⎨ ⎩x −2y =6 .
Page 394 and 395:
(0, −3). ⎧ ⎨ ⎩ 3x − 4y
Page 396 and 397:
⎧3x +4y =12 ⎨ ⎩y =3− 3 4 x
Page 398 and 399:
⎧2x −6y =0 ⎧−3x + y =8 ⎧x
Page 400:
a ⎧ −15y = −32 ⎨8x a ⎧ =7
Page 403 and 404:
$10,000 + $40
Page 406 and 407:
Let x = the measure of the first an
Page 408 and 409:
a = b = 3b +10
Page 410 and 411:
D = rt
Page 412 and 413:
+ c. b − c
Page 414 and 415:
j = w =
Page 416:
−26. −27. −5
Page 419 and 420:
4.025(1,562).
Page 421 and 422:
n = d = n(0.05) = 0.05n
Page 423 and 424:
Number • Value = Total Value
Page 425 and 426:
I = Prt.
Page 427 and 428:
C(x) = ⎛ ⎝cost per unit ⎞ ⎠
Page 429 and 430:
C(x) = R(x) 105x + 7000 = 245x 7000
Page 431 and 432:
10.6%
Page 433 and 434:
5x − 2y + 3z x = −2, y = −4,
Page 436 and 437:
(x, y, z)
Page 439 and 440:
⎧ ⎨ ⎩ 3x + y − z = 2 2x −
Page 441 and 442:
⎧ x + 2y + 6z = 5 ⎨−x + y −
Page 443 and 444:
y. x =75 −2x + y =0 x = 75.
Page 445 and 446:
⎧ ⎨ ⎩ 2x +3y + z =12 x + y +
Page 447 and 448:
a ⎧ −3y =−1 ⎨5x b ⎩y =2x
Page 449 and 450:
a b c −2 a ⎡ ⎢ 6 −5 2
Page 451 and 452:
⎧2x + y = 7 ⎨ ⎩x − 2y = 6 .
Page 453 and 454:
⎧ ⎨ ⎩ 2x − 5y + 3z = 8 3x
Page 455 and 456:
⎧ ⎨ ⎩ x −2y +3z =1 x + y
Page 457 and 458:
a ⎧ − y =−1 ⎨3x a ⎧ +4y =
Page 459 and 460:
a b
Page 461 and 462:
a ⎡5 ⎣ −3 2 −4⎦
Page 463 and 464:
2×2 | 1 −1 4 0 2 −1 −2
Page 465 and 466:
|4 −1 3 0 2 5 −4 −3|
Page 467 and 468:
⎧ ⎨ ⎩ 3x + y = −3 2x + 3y =
Page 469 and 470:
D z . (2, −3,
Page 471 and 472:
(5, −5), (4, −3), (3, −1)
Page 473 and 474:
⎧5x −3y =−1 ⎨ ⎩2x − y
Page 475:
(−2, 4) (−2, 4) b (3, 1)
Page 478 and 479:
y −1 4 x + 5. ⎧ ⎨ ⎩ x
Page 480 and 481:
⎧4x +3y ≥12 ⎨ ⎩y
Page 482 and 483:
x −2y
Page 484 and 485:
a b c d
Page 486 and 487:
a b c d
Page 488 and 489:
⎧−2x +6y 2x +4 ⎧ ⎨ ⎩ −
Page 490 and 491:
C(x) = R(x).
Page 492 and 493:
m × n. 2×3.
Page 494 and 495:
⎧x +3y =−9 ⎧ x + y =8 ⎨
Page 496 and 497:
⎧ ⎨ ⎩ a (2,3,−1) b (3,1,3)
Page 498 and 499:
|−1 −3 2 4 −2 −1 −2 0
Page 500 and 501:
⎧ x − y =5 ⎧ x − y >−2
Page 502 and 503:
4xyx 2 x = −2 y = 5.
Page 504 and 505:
a 64k 3 − 8 b 9m 3 + 4m 2 − 2 c
Page 506 and 507:
⎛ ⎝p 2 +10pq −2q 2⎞ ⎠
Page 508 and 509:
c f (x) = 3x 2 + 2x − 15,
Page 510 and 511:
f (3). g(3). ⎛ ⎝f + g ⎞ ⎠
Page 512 and 513:
a −10x −35x b 17mn 2 −(−9mn
Page 514 and 515:
6y 2 +5y 4 11y 6 .
Page 516 and 517:
x 2 · x 3 x 2+3 x 5 . a
Page 518 and 519:
9>7, x a m a n = am − n . b
Page 520 and 521:
x −3 = 1 a ≠0,
Page 522 and 523:
⎛ ⎝ 3 −2 ⎞ 4⎠ a −n = 1
Page 524 and 525:
c ⎛ ⎝2x −6 y 8⎞ ⎠ ⎛ ⎝
Page 526 and 527:
a (−3mn) 3 b ⎛ ⎝−4a 2 b ⎞
Page 528 and 529:
a ⎛ ⎝ b ⎞ 3⎠ 4 b ⎛ ⎝ k
Page 530 and 531:
a m · a n = a m + n (a m ) n = a m
Page 532 and 533:
4 × 1,000 4× 1 1,000 . 4 ×
Page 534 and 535:
|n| a 6.2 × 10 3 b −8.9 × 1
Page 536 and 537:
a d 3 · d 6 b 4 5x ·4 9x c 2y ·4
Page 538 and 539:
a 7n −1 b (7n) −1 c (−7n) −
Page 540 and 541:
2(x + 3). a 9 2 b (−9) 2 c
Page 542 and 543:
a ⎛ ⎝y +5 ⎞ ⎠ ⎛ ⎝y +8
Page 544 and 545:
a (x − 7)(x + 5) b (3x + 7)(5x
Page 546 and 547:
(b + 3)(2b 2 −5b +8) a b a
Page 548 and 549:
a (x + 9) 2 b (2c − d) 2 .
Page 550 and 551:
(a + b) 2 = a 2 +2ab + b 2 (a − b
Page 552 and 553:
⎛ ⎝f · g ⎞ ⎠(x) = x 3 −
Page 554 and 555:
a b (x +5)(x 2 +4x +3) (u +4)(u
Page 556 and 557:
(p +3)(p +3) (q +6)(q +6) (r +1)(r
Page 558 and 559:
54a 2 b 3 ÷ ⎛ ⎝−6ab 5⎞ ⎠
Page 560 and 561:
⎛ ⎝x 2 +9x +20 ⎞ ⎠ ÷ (x +5
Page 562 and 563:
⎛ ⎝8a 3 +27 ⎞ ⎠ ÷ (2a +3).
Page 564 and 565:
4x 3 + 5x 2 − 5x + 3 x + 2. x
Page 566 and 567:
c, f (x) x − c, f (c). f
Page 568 and 569:
15r 4 s 9 ÷ ⎛ ⎝15r 4 s 9⎞
Page 570 and 571:
a b
Page 572 and 573:
m th a m a m · a n
Page 574 and 575:
a, b (a + b) 2 = a 2 +2ab +
Page 576 and 577:
f (x) =7x 2 −3x +5 a f (5) b f (
Page 578 and 579:
⎛ ⎝−6p 4⎞ ⎠ ⎛ ⎝9p ⎞
Page 580 and 581:
f (x) = x 3 −4x −9 x +2 f (x)
Page 584 and 585:
−3a(7a + 8b).
Page 586 and 587:
Noun: 7 is a factor of 14 Verb: fac
Page 588 and 589:
3y ⎛ ⎝y +7 ⎞ ⎠ −4 ⎛ ⎝
Page 590 and 591:
10p 3 q,12pq 2 8a 2 b 3 ,10ab 2 1
Page 592 and 593:
x 2 + bx + c ax 2 + bx + c ax 2
Page 594 and 595:
x 2 + bx + c. c, m · n
Page 596 and 597:
2 −8rs −9s 2 .
Page 598 and 599:
4x 3 +16x 2 −20x. GCF = 4x. 4
Page 600 and 601:
2a 2 + 5a + 3. 4b 2 + 5b + 1.
Page 602 and 603:
⎛ ⎝2x −3y)(9x −5y ⎞ ⎠
Page 604 and 605:
6x 2 + 13x + 2. 4y 2 + 8y + 3.
Page 606:
u = x 2 x 2 . ⎛ ⎝x 2 +1
Page 609 and 610:
−5y 3 −30y 2 +35y ax 2 + bx +
Page 611 and 612:
⎛ ⎝ ⎛ 3x 2⎞ ⎠ ⎞3 .
Page 613 and 614:
81y 2 −72y + 16.
Page 615 and 616:
64y 2 −1. 121m 2 − 1. 81
Page 617 and 618:
48x 4 y 2 − 243y 2 3y 2 3y 2
Page 619 and 620:
n 3 x 3 + 64. x 3
Page 621:
6y. 500p 3 + 4q 3 . 432c 3
Page 624 and 625:
(x +4) 3 −27x 3 ⎛ ⎝y −5
Page 626 and 627:
7x 3 −21x 2 −70x. 7x 3 −21x
Page 628 and 629:
4a 2 −12ab +9b 2 a ≠1 (2a)
Page 630 and 631:
250m 3 + 432n 3 . 2p 3 + 54q 3 .
Page 632 and 633:
4p 2 q − 16pq + 12q. 6pq 2 −
Page 634 and 635:
a b
Page 636 and 637:
a · b =0, a =0 b =0 (5n
Page 638 and 639:
169q 2 = 49. 169x 2 =49 169x 2
Page 640 and 641:
8x 3 = 24x 2 − 18x. 16y 2 = 32
Page 642 and 643:
f (x) = 6x 2 + 13x − 15, a
Page 644 and 645:
w = w +4= A = l · w 117 =
Page 646 and 647:
2x 2 −14x − 240 = 0 2(x 2 −7
Page 648 and 649:
h(t) = −16t 2 + 48t + 160
Page 650 and 651:
f (x) =6x 2 −7x −5 f (x) =12x
Page 652 and 653:
x
Page 654 and 655:
Step 1. Does the trinomial fit the
Page 656 and 657:
f (x) =0,
Page 658 and 659:
a 3 − 125 b 3 − 216 2m 3 +54
Page 660 and 661:
80a 2 + 120a 3 5m(m −1) +3(m −
Page 662 and 663:
14 15 · 635 . 12 10 ÷ 8 25 .
Page 664 and 665:
x +2is simplified because there are
Page 666 and 667:
7 −7 −1 −a a
Page 668 and 669:
3a 2 −8a −3 a 2 · a2 +10a +25
Page 670 and 671:
6x 2 −7x +2 4x −8 2x 2 −7x +3
Page 672 and 673:
R(x) = 2x 2 −14x 4x 2 −16x −4
Page 674 and 675:
a 2x2 4p −1 z b 6p −5 c n −
Page 676 and 677:
R(x) = x3 −2x 2 −25x +50 x 2
Page 678 and 679:
7 10 + 8 15 . 3x 4 − 8 9 .
Page 680 and 681:
5x 2 −7x +3 x 2 −3x +18 − 4x2
Page 682 and 683:
x a 8 x 2 −2x −3 ,
Page 684 and 685:
8 x 2 −2x −3 + 3x x 2 +4x +3 .
Page 686 and 687:
n −2 2−n −1 −1 . a −(
Page 688 and 689:
Find the LCD. u −1 = (u −1) u =
Page 690 and 691:
2 + 7 7 + 15 15 11 24 24 7m 2m +
Page 692 and 693:
a R(x) =f(x) +g(x) b R(x) =f(x) −
Page 694 and 695:
⎛ ⎝ 6x2 −7x +2⎞ 4x −8 ⎠
Page 696 and 697:
1 x + 1 y 1 x − 1 . y 1 a + 1
Page 698 and 699:
1 3 + 1 6 1 2 − 1 . 3 1
Page 700 and 701:
3 x + 2 5 x − 2 − 3 . x 2 − 4
Page 702 and 703:
x x + 3 1 + 1 . x + 3 1 + 1 x
Page 704 and 705:
6 d −4 − 2 d +7 2d d 2 +3d −2
Page 706 and 707:
x ≠ c 1 x + 1 3 = 5 6 . 1
Page 708 and 709:
y =2, y =3. 1 − 2 x = 15 x 2.
Page 710 and 711:
(m −4)(m −1).
Page 712 and 713:
x 2x −2 − 2 3x +3 = 5x2 −2x +
Page 714 and 715:
x 2 −8x +15=0 (x −3)(x −5) =
Page 716 and 717:
m −1. c =0,m =0 m ≠1. 1 a
Page 718 and 719:
2 x 2 +2x −8 − 1 x 2 +9x +20 =
Page 720 and 721:
2(n −1)− 4 = −10.
Page 723:
ΔABC ΔXYZ. ΔABC
Page 726 and 727:
D = rt t =
Page 728 and 729:
⎛ ⎝ r +4⎞ ⎠ ⎛ ⎝ 8 r + r
Page 730 and 731:
1 6 1 12
Page 732 and 733:
1 7 1 s
Page 734 and 735:

Page 736 and 737:
a b
Page 738:
a b a b
Page 741 and 742:
a b y x
Page 743 and 744:
x − 5 a x = 6 b x = −3 c x = 5
Page 745 and 746:
(−3, 1). (1, ∞). x =2. Interv
Page 747 and 748:
3x x − 3 < 1. 3x x − 4 < 2.
Page 749 and 750:
3x 2 = 0 x −6 = 0 x +1 = 0 x = 0
Page 751 and 752:
C(x) =10x + 3000 c(x) = C(x) x .
Page 753 and 754:
(−∞, −2] ∪ [4, ∞). a b
Page 755 and 756:
≠0, p r + q r = p + q r p r −
Page 757 and 758:
x −3 x 2 − x −30 18 24 9m
Page 759 and 760:
7x x +2 14x 2 x 2 −4 2 5 + 5 6 1
Page 761 and 762:
y x y =9 x =3, y = 21. x
Page 763:
4a 2 b 12ab 2 6x −18 x 2 −9
Page 766 and 767:
3.846 a x 3 · x 3 b y 2 · y
Page 768 and 769:
We write: n 2 n 3 n 4 n 5 We say: n
Page 770 and 771:
4 −16 (?) 4 = −16. c 5 −24
Page 772 and 773:
3 a 17 b 49 a 4 c 51. 17 4.12310
Page 774 and 775:
n n is even a n 4 p 4 = |a|. |p| d
Page 776 and 777:
16r 22 =4 | r 11 | because ⎛ ⎝4
Page 778 and 779:
⎛ ⎝4p 21 q 3⎞ ⎠ 3 64p 63 q
Page 780 and 781:
a 81x 36 b −25x 2 4 a 16x 8 6 b
Page 782 and 783:
98. 48. 45. 98 72
Page 784 and 785:
x 3 x 2 · x x 2 · x |x| x b 3
Page 786 and 787:
a 63u 3 v 5 3 b 40x 4 y 5 4 c 48x 4
Page 788 and 789:
3+ 32 3+ 16·2 3+ 16· 2 3+4 2
Page 790 and 791:
a 162 98 b 3 375 24 4 c 324 4 .
Page 792 and 793:
a 45x5 3 b 24x7 y 4 y 3 c 4 48x10 y
Page 794 and 795:
18p 5 q 7 32pq 2 9p 4 q 5 16 9p
Page 796 and 797:
3 −108 3 2 3 −108 2 3 −54 3
Page 798 and 799:
a y4 y 8 b 5 u21 u 11 c 6 v30 v 12
Page 800 and 801:
1 n a m a n 7 15 + 5 12 .
Page 802 and 803:
1 a n . a 5y 1 ⎛ ⎝5y ⎞ 2
Page 804 and 805:
1 4 (−16) 4 −16 4 (−2) 4 No
Page 806 and 807:
a x 5 b ⎛ ⎝ 4 ⎞ 3 3y⎠ c ⎛
Page 808 and 809:
−25 − 3 2 a −n = 1 a n. ⎛
Page 810 and 811:
4 1 a x 6 4 2 · x 3 b 3 ⎛ 6⎞
Page 812 and 813:
⎛ 4 ⎜16 x ⎜ ⎝ x − 23 y 3
Page 814 and 815:
a 3 a b ⎛ 3 4 ⎝ 21v ⎞ ⎠ c 4
Page 816 and 817:
3x 2 + 9x − 5 − ⎛ ⎝x 2 −
Page 818 and 819:
3 3 a 20 +3 5 b 24 − 375 c 1 4 2
Page 820 and 821:
a ⎛ ⎝6 2 ⎞ ⎠ ⎛ ⎝3 10
Page 822 and 823:
6 ⎛ ⎝ 2 + 18 ⎞ ⎠ 12 + 108
Page 824 and 825:
2ab a b a ⎛ ⎝ ⎛ 10
Page 826 and 827:
a 82−5 2 b a 72−3 2 b 4 3 5 3
Page 828 and 829:
3 ⎛ ⎝4−3 3 ⎞ 3 ⎛ 3 ⎠ 3
Page 830 and 831:
72x 3 162x n a n n = a 72x 3 . b b
Page 832 and 833:
54x 5 y 3 3x 2 y 54x 5 y 3 3x 2 y
Page 834 and 835:
a 6 5 b 7 18 c 5 5x .
Page 836 and 837:
4 2 3 , b
Page 838 and 839:
3 u − 6 . 5 x + 2 . 10
Page 840 and 841:
a 128 72 b 3 128 3 54 a 48 75 b 3
Page 842 and 843:
⎛ ⎝y − 3 ⎞2 ⎠ . 2x
Page 844 and 845:
7s − 3 + 2 = 0.
Page 846 and 847:
1 (3x −2) 4 =2 ⎛ 1 ⎜(3x ⎞
Page 848 and 849:
3 2b + 3 − 25 = 50.
Page 850 and 851:
q −2. q =6 q =2. x
Page 852 and 853:
t = h 4 t =
Page 854 and 855:
5x −6=8 4x −3=7 5x +1=−3 3
Page 856 and 857:
1 − 2x ≥ 0. f (x) = 3x −
Page 858 and 859:
f (x) = 4 5x −4, a f (4) b f (
Page 860 and 861:
h(x) = 9 x − 5 . 3 f (x) = 2x
Page 862 and 863:
3 f (x) = x − 2, a b c
Page 864 and 865:
a b c f (x) = x +1 f (x) = x
Page 866 and 867:
−b = ib −b = b i
Page 868 and 869:
−27 + −48. a (4−3i) + (5+6
Page 870 and 871:
−36 · −4. −36 · −4 −
Page 872 and 873:
(8 − 2i)(8 + 2i). (a − bi)(a
Page 874 and 875:
5+3i 4i 5+3i 0+4i (5+3i)(0−4i
Page 876 and 877:
a −16 b −11 c −8 a −121 b
Page 878 and 879:
a b 1 − 10,
Page 880 and 881:
n ≥2 n a m n n a n b, n
Page 882 and 883:
n a a ≥0, n a a
Page 884 and 885:
a 72 98 b 3 24 4 c 81 96 6 c a y4
Page 886 and 887:
a ⎛ ⎝4+ 11 ⎞ ⎠ 2 ⎛ ⎝7+
Page 888 and 889:
−50 + −18 (8−i) + (6+3i) (6
Page 891 and 892:
ax 2 = k a(x - h) 2 = k 128.
Page 893 and 894:
x 2 =9 x =± 9 x =±3 So x =3 or x
Page 895 and 896:
x 2 = −72 x = ± −72 x =± 72i
Page 897 and 898:
4 ⎛ ⎝y −7 ⎞ ⎠2 = 48. 4
Page 899 and 900:
5(a − 5) 2 + 4 = 104. 3(b + 3)
Page 901 and 902:
a 2 =49 b 2 = 144 r 2 −24=0 t
Page 904 and 905:
x 2 + bx + c =0 ax 2 + bx + c =0
Page 906 and 907:
a x Find ⎛ ⎝ 1 2 b⎞ ⎠2 .
Page 908 and 909:
x 2 + 4x = 5. y 2 − 10y = −9
Page 910 and 911:
y y 2 −18y
Page 912 and 913:
q 2 = 7q − 3.
Page 914 and 915:
x 2 − 3 2 ⎛ ⎝ 1 ⎛ 2⎝
Page 916 and 917:
4x 2 + 3x = 2. 3y 2 − 10y =
Page 918 and 919:
x 2 +10x = −25 a y 2 +8y =48
Page 920 and 921:
− b 2a a ≠0 x =
Page 922 and 923:
x 2 −6x =−5. a, b, c. a,
Page 924 and 925:
a + bi 4a 2 − 2a + 8 = 0
Page 926 and 927:
1 4 c 2 − 1 3 c = 1 12 1 9 d
Page 928 and 929:
3x 2 +7x −9=0 a =3, b =7, c =
Page 930 and 931:
a x 2 + 6x + 8 = 0 b (n − 3) 2 =
Page 932 and 933:
a x 2 −5x −24=0 b ⎛ ⎝y +5
Page 934 and 935:
6x 4 −7x 2 +2=0 x 4 − 6x 2
Page 936 and 937:
x −3 x +2=0. x ( x) 2
Page 938 and 939:
8x −2 − 10x −1 + 3 = 0. 6x
Page 941 and 942:
2 x + 1 + 1 x − 1 = 1 x 2 − 1 .
Page 943 and 944:
n = n +2= n(n +2) =
Page 945 and 946:
w = 3w −1=
Page 947 and 948:
x = x = a 2 + b 2 = c 2
Page 949 and 950:
a, b, c
Page 951 and 952:
x = 8x(x +12)
Page 954 and 955:
a b c d
Page 956 and 957:
f (x) = x 2 −1. f (x)
Page 958 and 959:
a f (x) = 2x 2 + 5x − 2 b f (x) =
Page 960 and 961:
x =1 b x =1 f (1) (1, −1
Page 962 and 963:
f (x) =0 a =−1,b =4,c =3 ⎛
Page 964 and 965:
f (x) =0 x =4orx =−2 (4, 0) (
Page 967 and 968:
−1 x =− b 2a x =3 x =3
Page 969 and 970:
(0, −9). (0, −9) (6, −9)
Page 971 and 972:
(−2, 1) x =0 f (0). (0, 5)
Page 973 and 974:
x =− b 2a x =1 f (1) x =1.
Page 975 and 976:
f (x) = x 2 +2x −8. x =−
Page 977 and 978:
t = − 2a b t = − 2(−16) 176 t
Page 979 and 980:
f (x) =−x 2 −4x +2 f (x) =x 2
Page 981 and 982:
f (x) = x 2 y 2 − 14y + 49.
Page 983 and 984:
f (x) =x 2 −3 f (x) = x 2 k
Page 985 and 986:
a f (x) = x 2 , g(x) = (x + 2) 2 ,
Page 987 and 988:
f (x) =(x +1) 2 −2 f
Page 989 and 990:
f (x) = −3x 2 . f (x) = 2x 2 .
Page 991 and 992:
⎛ ⎝ 1 2 ·6⎞ ⎠2 =9 f (x)
Page 993 and 994:
f (x) = a(x − h) 2 + k f (x) =
Page 995:
f (x) = a(x − h) 2 + k form. (h,
Page 998:
f (x) =a(x−h) 2 +k f (x) =−3x
Page 1001 and 1002:
a b
Page 1003:
x 2 −6x +8
Page 1006 and 1007:
f (x) =0 f (x) =−x 2 −8x −12
Page 1008 and 1009:
x 2 +6x −7≥0 −1 a,
Page 1010 and 1011:
x 2 −3x +4>0. x
Page 1012 and 1013:
x = −b ± b2 −4ac , 2a
Page 1014 and 1015:
A = 1 2 bh.
Page 1016 and 1017:
f (x) = ax 2 + bx + c
Page 1018 and 1019:
x 4 −14x 2 +24=0 x 4 +4x 2 −32
Page 1020 and 1021:
A(x) =x ⎛ ⎝ 90 − 2 x ⎞ ⎠
Page 1022 and 1023:
3(w +5) 2 = 27. a 2 −8a
Page 1024 and 1025:
(x + 4) 5 − 4. 5
Page 1026 and 1027:
⎛ ⎝f ∘g ⎞ ⎠(−3). b
Page 1028:
a b a b
Page 1031 and 1032:
x y x y {(0, 3), (1, 5), (2,
Page 1033 and 1034:
f −1 ⎛ ⎝f (x) ⎞ ⎠ = x, fo
Page 1035 and 1036:
f (x) = 5x − 3. f (x) = 8x + 5
Page 1037 and 1038:
a b c f (x) =4x +3 g(x)
Page 1039 and 1040:
f (x) = x +8 g(x) = x −8 f (x)
Page 1041 and 1042:
⎛ x 3⎞ ⎝ ⎠ . x 2 ⎛
Page 1043 and 1044:
g(x) =3 x (1, 3). a 1 = a.
Page 1045 and 1046:
(−∞, ∞). x (0, ∞
Page 1047 and 1048:
f (x) = 3 x g(x) = 3 x + 2. f (
Page 1049 and 1050:
3 3x − 2 = 81. 7 x − 3 = 7.
Page 1051 and 1052:
A =? P = $10,000 r = 0.05 t = 18
Page 1053 and 1054:
10%
Page 1055 and 1056:
4 x2 =4 4 x =32 4 x +2 =64 4 x +
Page 1057 and 1058:
x 2 = 81. 3 −2 . 2 4 =
Page 1059 and 1060:
a log x 36 = 2, b log 4 x =3, c lo
Page 1061 and 1062:
log 2 1 16 x log 2 1 16 = x 2 x
Page 1063 and 1064:
(0, ∞).
Page 1065 and 1066:
y = log a x a >1 0
Page 1067 and 1068:
log a 49 = 2 a 2 =49 a = ±7 a =
Page 1069 and 1070:
10 −2 log10 10 = 10. 1
Page 1071 and 1072:
4 2 =16 2 5 =32 3 3 =27 5 3 = 12
Page 1073 and 1074:
ln e 4x =8 ln e 2x =6 logx 2 =2
Page 1075 and 1076:
a log 13 1 b log 9 9. a log 5 1
Page 1077 and 1078:
log a M N = log a M − log a N l
Page 1079 and 1080:
a e log a 1=0 ln 1 = 0 log a a =1
Page 1081 and 1082:
log a M + log a N = log a M · N
Page 1084 and 1085:
a log 4 1 b log 8 8 a log 12 1 b l
Page 1086 and 1087:
log a 5x, log a (5+x). log(a + b
Page 1088 and 1089:
2 log 5 x = log 5 81 log 5 x 2 = l
Page 1090 and 1091:
log 4 (x +6) − log 4 (2x +5) =
Page 1092 and 1093:
A = P ⎛ ⎝1+ n r ⎞ nt ⎠ A =
Page 1095 and 1096:
A = 50 A 0 = 100 k = ? t = 1590year
Page 1097 and 1098:
e x2 = e5x 14 e e x2 e x = e20 lo
Page 1099 and 1100:
f (x) = log x 10, x >0. y =
Page 1101 and 1102:
a >1 00 a ≠1 log a 1 = 0 log a
Page 1103 and 1104:
a b c f (x) =7x −2 g(x
Page 1105 and 1106:
f (x) = 1 x +5 5 f (x) = x −1
Page 1107 and 1108:
⎛ log 4 ⎝64xy ⎞ ⎠ log10,0
Page 1109 and 1110:
f (x) =6x +1 g(x) =8x −3, a ⎛
Page 1111 and 1112:
x 2 − 18x + 81.
Page 1113 and 1114:
a 2 + b 2 = c 2 3 2 +4 2 = d 2 9
Page 1115 and 1116:
d = (x 2 − x 1 ) 2 + (y 2 − y 1
Page 1117 and 1118:
(h, k),
Page 1119 and 1120:
(2, 4) (−2, 1) r = (x 2 − x 1
Page 1121 and 1122:
(h, k) (0, 0) a b 3x 2 + 3
Page 1123 and 1124:
a b x 2 + y 2 − 2x − 3 = 0.
Page 1125 and 1126:
x 2 + y 2 =49 2x 2 +2y 2 =8 6x 2
Page 1127 and 1128:
y = ax 2 + bx + c y = ax − h 2 +
Page 1129 and 1130:
x =0. x =0. (0, −8). (0, −
Page 1131 and 1132:
x =0. y =3(x −1) 2 +2 y =3·0 2
Page 1133 and 1134:
a =2, y =− b 2a . y =0. y =0.
Page 1135 and 1136:
(9, 1). y =0. (8, 0). (8, 0)
Page 1137 and 1138:
x = 3 ⎛ ⎝y − 1 ⎞2 ⎠ + 2
Page 1139 and 1140:
x = a ⎛ ⎝y − k ⎞ ⎠2 + h
Page 1141:
(0, 0). (20, 0) (0, 0),
Page 1144 and 1145:
a b c d e
Page 1146 and 1147:
a b
Page 1148 and 1149:
⎛ ⎝(−c, 0), (
Page 1150 and 1151:
x 2 4 + y2 16 = 1. x 2 9 + y2 16
Page 1152 and 1153:
a =4 a 2 =16 b =3 b 2 =9 x 2 a 2
Page 1154 and 1155:
(x −3)2 9 + ⎛ ⎝y −1 ⎞ 2
Page 1156 and 1157:
x 2 +4y 2 −4x +24y +24=0 x
Page 1160 and 1161:
x 2 4 + y2 25 =1 x 2 9 + y2 25 =1
Page 1162 and 1163:
x 2 4 + y2 =1 x2 9 9 + y2 4 =1.
Page 1164 and 1165:
(0, 0) (h, k) x 2 = 12.
Page 1166 and 1167:
(−a, 0), (a, 0) (0, −b), (
Page 1168 and 1169:
x2 16 − y2 4 = 1. x2 9 − y2
Page 1170 and 1171:
h, k x − h 2 a 2 − y − k 2
Page 1172 and 1173:
y 2 - (h, k). (−1, −2) a
Page 1174 and 1175:
x 2 - y 2 - x 2 y 2 . x =3y
Page 1176 and 1177:
(0, 0) x 2 9 − y2 4 =1 x 2 25
Page 1178 and 1179:
⎧x − 3y = −3 ⎨ . ⎩ x + y
Page 1180 and 1181:
(2, 4) x − y = −2 y = x 2 2−4
Page 1182 and 1183:
⎧ ⎨ 9x2 + y 2 =9 ⎩y =3x −3
Page 1184 and 1185:
2 −4ac (−1) 2 −4·1·2 −7
Page 1186 and 1187:
⎧ ⎨ x2 + y 2 =7 ⎩x 2 − y 2
Page 1188 and 1189:
−20. −1.
Page 1190 and 1191:
⎧y =2x +2 ⎧y =6x −4 ⎨ ⎩y
Page 1192 and 1193:
a b
Page 1194 and 1195:
y = ax 2 + bx + c y = ax − h 2 +
Page 1196 and 1197:
(0, 0) : (0, 0), x 2 a 2
Page 1198 and 1199:
x 2 - y 2 - x 2 y 2 . x =3y
Page 1200 and 1201:
a b x =4y 2 +8y
Page 1202 and 1203:
a 16y 2 −9x 2 −36x −96y −36
Page 1204 and 1205:
y = ax 2 + bx + c
Page 1206 and 1207:
f (n) = n 2 + 2, f (1) + f (2) + f
Page 1208 and 1209:
n (−1) n (−1) 1 (−1) 2 (
Page 1210 and 1211:
1 2 , 1 4 , 1 8 , 1 16 , 1 32 , …
Page 1212 and 1213:
5 ∑ 2i i =1 2·1+2·2+2·3+2·4+
Page 1214 and 1215:
5 −1 + 8 − 27 + 64 − 125 =
Page 1216 and 1217:
a n = 4 n! a n = 5 n! a n =3n! a
Page 1218 and 1219:
n n 4n − 1 ⎧ x + y
Page 1220 and 1221:
a 1 a 2 a 3 a 4 a 5 5 5+(−6) −1
Page 1222 and 1223:
a 1 , a 7 = 10, n = 7, and d =−
Page 1224 and 1225:
S n = a n +(a n - d)+(a n -2d)+ …
Page 1226 and 1227:
a 1 . a 25 . n = 25, a 1 = 11, a
Page 1228 and 1229:
11, 14, 17, 20, 23, … 12, 18, 24
Page 1230 and 1231:
−2, 6, −12, 36, −72, 216, …
Page 1232 and 1233:
a n = a 1 r n −1 r = 1 2 . a
Page 1234 and 1235:
S n = a 1 + a 1 r + a 1 r 2 + a 1 r
Page 1236 and 1237:
S n = a 1 (1−rn ) 1−r S n = a 1
Page 1238 and 1239:
0. 5 - 0.5555555555555… 0.5 + 0
Page 1240 and 1241:
1+r. 1+r
Page 1242 and 1243:
3, 12, 48, 192, 768, 3072, … 2,
Page 1244 and 1245:
$100 d $1,500 80%
Page 1246 and 1247:
7 · 6 · 5 · 4 4 · 3 · 2 · 1 .
Page 1248 and 1249:
(x + y) 6 .
Page 1250 and 1251:
a =3x b =−2. (a + b) n = a n + _
Page 1252 and 1253:
d ⎛ n ⎝r ⎞ ⎠ = n! r !(n
Page 1254 and 1255:
(x −2) 5 = ⎛ ⎝ 5 ⎞ 0⎠ x5
Page 1256 and 1257:
n =9, a = x, b =3. x 6 a = x,
Page 1258 and 1259:
(x + y) 10 (a + b) 9 (x − y)
Page 1260 and 1261:
a n = a 1 r n −1 S n , a
Page 1262 and 1263:
− 1 3 + 1 9 − 27 1 + 81 1 − 2
Page 1264 and 1265:
$360 60% (a + b
Page 1266 and 1267:
a n = 5n −3 (n +2)! 3 n a n = (n
Page 1269 and 1270:
a b c d a b c d 2·2·2·
Page 1271 and 1272:
a 5x 2 −6xy b 6y2 5x c y 2 +21 d
Page 1273 and 1274:
6x 2 − x +5 a 11 ⎛ ⎝y −2
Page 1275 and 1276:
1.8 a a b b c
Page 1277 and 1278:
a ±11 b c a ±2 b c x =4,
Page 1279 and 1280:
L = P −2W 2 y =4+x y =15−8x
Page 1282 and 1283:
5≤n ≤24 6≤w ≤12 a b
Page 1284 and 1285:
6≤w ≤12 x =9,x =−3 x =2,x
Page 1286 and 1287:
a b a b
Page 1288 and 1289:
− 4 3 − 3 5 −1 a m
Page 1290 and 1291:
y = 1 3 x − 10 3 y =− 2 5 x
Page 1292 and 1293:
a b c a f (3) =22b f (−1) =6
Page 1294 and 1295:
a a b b
Page 1296 and 1297:
2 5 5 4 − 1 3 − 5 2 −
Page 1298 and 1299:
a b c d a b c 0.15
Page 1300 and 1301:
a 11x + 16.5y ≥ 330 b a 15x +10y
Page 1302 and 1303:
a a a b a b a b {−3} a b
Page 1304 and 1305:
(0, 3)(3, 0) (6, 0), (0, 3) (16,
Page 1306 and 1307:
a −$250 b c d y =
Page 1308 and 1309:
a a a b b a b a b −2,
Page 1310 and 1311:
⎛ ⎝ −1 2 ,−2⎞ ⎠ (2,
Page 1312 and 1313:
(x, y, z), x = z −3;y =3;z (
Page 1314 and 1315:
a b −7 −19 −67
Page 1316 and 1317:
a b a b
Page 1318 and 1319:
⎧w ≥0 ⎪r ≥0 a ⎨ ⎪w + r
Page 1320 and 1321:
(2, 1) (2, −2, 1) (2, −3) (5,
Page 1322 and 1323:
a x 2 −2x −35 a b 2 +3b −18
Page 1324 and 1325:
8 27 x6 y 3 1,024a 10 25,000p 24
Page 1326 and 1327:
9p 9 − 3 y 4 4a 5 b 2 4m 9 n 4
Page 1328 and 1329:
3(x 2 +2x −3) 2(4p 2 +2p +1) 8y
Page 1330 and 1331:
x =−4,x =−5 p =− 5 2 , p =8
Page 1332 and 1333:
a c = 4.8t b a d =50
Page 1334 and 1335:
13 24 2(a −4) 3mn n − m (x
Page 1336 and 1337:
a b c a x 6 b y 6 c z 12 x
Page 1338 and 1339:
−11 −159 a 5q2 6 b 2 b a 9x2
Page 1340 and 1341:
a | | y5 3 y b r r 2 c s 2 4 s 2 a
Page 1342 and 1343:
⎡ ⎣ −3 8 ,∞⎞ ⎠ (−∞
Page 1344 and 1345:
− 7⎛ ⎝2+ 6 ⎞ ⎠ ⎛ ⎝ x
Page 1346 and 1347:
y =5± 10i y =−4+3 3, y=−4−3
Page 1348 and 1349:
a a b g(x) = x 2 +1 f (x) = x
Page 1350 and 1351:
a f (x) =3(x −1) 2 +2 b a f (x)
Page 1352 and 1353:
a ⎛ ⎝p −11 ⎞ 2 ⎠ b ⎛
Page 1354 and 1355:
− 9 8 x =− 1 4 .
Page 1356 and 1357:
f (x) =−3(x +2) 2 +7 f (x) =3(x
Page 1358 and 1359:
g f (x) =(x +1) 2 −5 f (x) =2(x
Page 1361 and 1362:
f (x) =2(x −1) 2 −6 a f (x) =3
Page 1363 and 1364:
{(4, −1), (1, −2), (0, −3), (
Page 1365 and 1366:
x = log98 log8 ≈ 2.205 x = ln9 +
Page 1367 and 1368:
log 2 32 = 5 log 5 125 = 3 log 10
Page 1369 and 1370:
f −1 (x) = x +11 6 f −1 (x) =
Page 1371 and 1372:
x =±23 x 2 −8x +16 (3, 2)
Page 1373 and 1374:
a y =2(x +1) 2 +3 b a y =−2(x
Page 1375 and 1376:
a b (x +1)2 6 + ⎛ ⎝y −4 ⎞ 2
Page 1377 and 1378:
a (2, −4) b a b ⎛ ⎝ 31 2 ,
Page 1379 and 1380:
a y =−(x −1) 2 −3 b a y =−
Page 1381:
a b (x −2)2 9 + ⎛ ⎝y −3 ⎞
Page 1384 and 1385:
(−1, 0), (0, 3) (2, 0) (12, −
Page 1386 and 1387:
a x = ⎛ ⎝y +2 ⎞2 ⎠ +1 b a
Page 1388 and 1389:
a b a b a b a b a b (x +5)
Page 1390 and 1391:
x 5 +5x 4 y +10x 3 y 2 +10x 2 y 3 +
Page 1392:
625x 4 − 1000x 3 y + 600x 2 y 2
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Intermediate Algebra - 2e, 2017a

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