Problem 377RE: In the following exercises, determine the values for which the rational expression is undefined.... Problem 378RE: In the following exercises, determine the values for which the rational expression is undefined.... Problem 379RE: In the following exercises, determine the values for which the rational expression is undefined.... Problem 380RE: In the following exercises, determine the values for which the rational expression is undefined.... Problem 381RE: In the following exercises, simplify. 381. 1824 Problem 382RE: In the following exercises, simplify. 382. 9m418mn3 Problem 383RE: In the following exercises, simplify. 383. x2+7x+12x2+8x+16 Problem 384RE: In the following exercises, simplify. 384. 7v3525v2 Problem 385RE: In the following exercises, multiply. 385. 58415 Problem 386RE: In the following exercises, multiply. 386. 3xy28y316y224x Problem 387RE: In the following exercises, multiply. 387. 72x12x28x+32x2+10x+24x236 Problem 388RE: In the following exercises, multiply. 388. 6y22y109y2y26y+96y2+2920 Problem 389RE: In the following exercises, divide. 389. x24x12x2+8x+12x2363x Problem 390RE: In the following exercises, divide. 390. y2164y3642y2+8y+32 Problem 391RE: In the following exercises, divide. 391. 11+ww9121w29w Problem 392RE: In the following exercises, divide. 392. 3y212y634y+3(6y242y) Problem 393RE: In the following exercises, divide. 393. c2643c2+26c+16c24c3215c+10 Problem 394RE: In the following exercises, divide. 394. 8a2+16aa4a2+2a24a2+7a+102a26aa+5 Problem 395RE: Find R(x)=f(x)g(x) where f(x)=9x2+9xx23x4 and g(x)=x2163x2+12x . Problem 396RE: Find R(x)=f(x)g(x) where f(x)=27x23x21 and g(x)=9x2+54xx2x42 . Problem 397RE: In the following exercises, perform the indicated operations. 397. 715+815 Problem 398RE: In the following exercises, perform the indicated operations. 398. 4a22a112a1 Problem 399RE: In the following exercises, perform the indicated operations. 399. y2+10yy+5+25y+5 Problem 400RE: In the following exercises, perform the indicated operations. 400. 7x2x29+21xx29 Problem 401RE: In the following exercises, perform the indicated operations. 401. x2x73x+28x7 Problem 402RE: In the following exercises, perform the indicated operations. 402. y2y+11121y+11 Problem 403RE: In the following exercises, perform the indicated operations. 403. 4q2q+3q2+6q+53q2q6q2+6q+5 Problem 404RE: In the following exercises, perform the indicated operations. 404. 5t+4t+3t2254t28t32t225 Problem 405RE: In the following exercises, add and subtract. 405. 18w6w1+3w216w Problem 406RE: In the following exercises, add and subtract. 406. a2+3aa243a84a2 Problem 407RE: In the following exercises, add and subtract. 407. 2b2+3b15b249b2+16b149b2 Problem 408RE: In the following exercises, add and subtract. 408. 8y210y+72y5+2y2+7y+252y Problem 409RE: In the following exercises, find the LCD. 409. 7a23a10,3aa2a20 Problem 410RE: In the following exercises, find the LCD. 410. 6n24,2nn24n+4 Problem 411RE: In the following exercises, find the LCD. 411. 53p2+17p6,2m3p223p8 Problem 412RE: In the following exercises, perform the indicated operations. 412. 75a+32b Problem 413RE: In the following exercises, perform the indicated operations. 413. 2c2+9c+3 Problem 414RE: In the following exercises, perform the indicated operations. 414. 3xx29+5x2+6x+9 Problem 415RE: In the following exercises, perform the indicated operations. 415. 2xx2+10x+24+3xx2+8x+16 Problem 416RE: In the following exercises, perform the indicated operations. 416. 5qp2qp2+4pq21 Problem 417RE: In the following exercises, perform the indicated operations. 417. 3yy+2y+2y+8 Problem 418RE: In the following exercises, perform the indicated operations. 418. 3w15w2+w20w+24w Problem 419RE: In the following exercises, perform the indicated operations. 419. 7m+3m+25 Problem 420RE: In the following exercises, perform the indicated operations. 420. nn+3+2n3n9n29 Problem 421RE: In the following exercises, perform the indicated operations. 421. 8aa2644a+8 Problem 422RE: In the following exercises, perform the indicated operations. 422. 512x2y+720xy3 Problem 423RE: In the following exercises, find R(x)=f(x)+g(x)where f(x)and g(x)are given. 423.... Problem 424RE: In the following exercises, find R(x)=f(x)+g(x)where f(x)and g(x)are given. 424.... Problem 425RE: In the following exercises, find R(x)=f(x)g(x)where f(x)and g(x)are given. 425.... Problem 426RE: In the following exercises, find R(x)=f(x)g(x)where f(x)and g(x)are given. 426.... Problem 427RE: In the following exercises, simplify. 427. 7xx+214x2x24 Problem 428RE: In the following exercises, simplify. 428. 25+5613+14 Problem 429RE: In the following exercises, simplify. 429. x3xx+51x+5+1x5 Problem 430RE: In the following exercises, simplify. 430. 2m+mnnm1n Problem 431RE: In the following exercises, simplify. 431. 13+1814+112 Problem 432RE: In the following exercises, simplify. 432. 3a21b1a+1b2 Problem 433RE: In the following exercises, simplify. 433. 2z249+1z+79z+7+12z7 Problem 434RE: In the following exercises, simplify. 434. 3y24y322y8+1y+4 Problem 435RE: In the following exercises, solve. 435. 12+23=1x Problem 436RE: the following exercises, solve. 436. 12m=8m2 Problem 437RE: In the following exercises, solve. 437. 1b2+1b+2=3b24 Problem 438RE: In the following exercises, solve. 438. 3q+82q2=1 Problem 439RE: In the following exercises, solve. 439. v15v29v+18=4v3+2v6 Problem 440RE: In the following exercises, solve. 440. z12+z+33z=1z Problem 441RE: For rational function, f(x)=x+2x26x+8 , (a) find the domain of the function (b) solve f(x)=1 (c)... Problem 442RE: For rational function, f(x)=2xx2+7x+10 (a) find the domain of the function (b) solve f(x)=2 (c) find... Problem 443RE: In the following exercises, solve for the indicated variable. 443. vl=hw for l. Problem 444RE: In the following exercises, solve for the indicated variable. 444. 1x2y=5 for y. Problem 445RE: In the following exercises, solve for the indicated variable. 445. x=y+5z7 for z. Problem 446RE: In the following exercises, solve for the indicated variable. 446. P=kv for V. Problem 447RE: In the following exercises, solve. 447. x4=35 Problem 448RE: In the following exercises, solve. 448. 3y=95 Problem 449RE: In the following exercises, solve. 449. ss+20=37 Problem 450RE: In the following exercises, solve. 450. t35=t+29 Problem 451RE: In the following exercises, solve. 451. Rachael had a 21-ounce strawberry shake that has 739... Problem 452RE: In the following exercises, solve. 452. Leo went to Mexico over Christmas break and changed $525... Problem 453RE: In the following exercises, solve. 453. ABC is similar to XYZ . The lengths of two sides of each... Problem 454RE: In the following exercises, solve. 454. On a map of Europe, Paris, Rome, and Vienna form a triangle... Problem 455RE: In the following exercises, solve. 455. Francesca is 5.75 feet tall. Late one afternoon, her shadow... Problem 456RE: In the following exercises, solve. 456. The height of a lighthouse in Pensacola, Florida is 150... Problem 457RE: In the following exercises, solve. 457. When making the 5-hour drive home from visiting her parents,... Problem 458RE: In the following exercises, solve. 458. Mark is riding on a plane that can fly 490 miles with a... Problem 459RE: In the following exercises, solve. 459. Josue can ride his bicycle 8 mph faster than Arjun can ride... Problem 460RE: In the following exercises, solve. 460. Curtis was training for a triathlon. He ran 8 kilometers and... Problem 461RE: In the following exercises, solve. 461. Brandy can frame a room in 1 hour, while Jake takes 4 hours.... Problem 462RE: In the following exercises, solve. 462. Prem takes 3 hours to mow the lawn while her cousin, Barb,... Problem 463RE: In the following exercises, solve. 463. Jeffrey can paint a house in 6 days, but if he gets a helper... Problem 464RE: In the following exercises, solve. 464. Marta and Deb work together writing a book that takes them... Problem 465RE: In the following exercises, solve. 465. If y varies directly as x when y=9 and x=3 , find x when... Problem 466RE: In the following exercises, solve. 466. If y varies inversely as x when y=20 and x=2 , find y when... Problem 467RE: In the following exercises, solve. 467. Vanessa is traveling to see her fiancé. The distance, d,... Problem 468RE: In the following exercises, solve. 468. If the cost of a pizza varies directly with its diameter,... Problem 469RE: In the following exercises, solve. 469. The distance to stop a car varies directly with the square... Problem 470RE: In the following exercises, solve. 470. If m varies inversely with the square of n, when m=4 and n=6... Problem 471RE: In the following exercises, solve. 471. The number of tickets for a music fundraiser varies... Problem 472RE: In the following exercises, solve. 472. On a string instrument, the length of a string varies... Problem 473RE: In the following exercises, solve each rational inequality and write the solution in interval... Problem 474RE: In the following exercises, solve each rational inequality and write the solution in interval... Problem 475RE: In the following exercises, solve each rational inequality and write the solution in interval... Problem 476RE: In the following exercises, solve each rational inequality and write the solution in interval... Problem 477RE: In the following exercises, solve each rational inequality and write the solution in interval... Problem 478RE: In the following exercises, solve each rational inequality and write the solution in interval... Problem 479RE: In the following exercises, solve each rational function inequality and write the solution in... Problem 480RE: In the following exercises, solve each rational function inequality and write the solution in... Problem 481RE: In the following exercises, solve each rational function inequality and write the solution in... Problem 482RE: In the following exercises, solve each rational function inequality and write the solution in... Problem 483PT: In the following exercises, simplify. 483. 4a2b12ab2 Problem 484PT: In the following exercises, simplify. 484. 6x18x29 Problem 485PT: In the following exercises, perform the indicated operation and simplify. 485. 4xx+2x2+5x+612x2 Problem 486PT: In the following exercises, perform the indicated operation and simplify. 486. 2y2y21y3y2+yy31 Problem 487PT: In the following exercises, perform the indicated operation and simplify. 487.... Problem 488PT: In the following exercises, perform the indicated operation and simplify. 488. 3a3a3+5aa2+3a4 Problem 489PT: In the following exercises, perform the indicated operation and simplify. 489. 2n2+8n1n21n27n11n2 Problem 490PT: In the following exercises, perform the indicated operation and simplify. 490.... Problem 491PT: In the following exercises, perform the indicated operation and simplify. 491. 1m1n1n+1m Problem 492PT: In the following exercises, solve each equation. 492. 1x+34=58 Problem 493PT: In the following exercises, solve each equation. 493. 1z5+1z+5=1z225 Problem 494PT: In the following exercises, solve each equation. 494. z2z+834z8=3z216z168z2+2z64 Problem 495PT: In the following exercises, solve each rational inequality and write the solution in interval... Problem 496PT: In the following exercises, solve each rational inequality and write the solution in interval... Problem 497PT: In the following exercises, solve each rational inequality and write the solution in interval... Problem 498PT: In the following exercises, find R(x)given f(x)=x4x23x10and g(x)=x5x22x8. 498.R(x)=f(x)g(x) Problem 499PT: In the following exercises, find R(x)given f(x)=x4x23x10and g(x)=x5x22x8. 499. R(x)=f(x)g(x) Problem 500PT: In the following exercises, find R(x)given f(x)=x4x23x10and g(x)=x5x22x8. 500. R(x)=f(x)g(x) Problem 501PT: In the following exercises, find R(x)given f(x)=x4x23x10and g(x)=x5x22x8. 501. Given the function,... Problem 502PT: In the following exercises, solve. 502. If y varies directly with x, and x=5 when y=30 , find x when... Problem 503PT: In the following exercises, solve. 503. If y varies inversely with the square of x and x=3 when y=9... Problem 504PT: In the following exercises, solve. 504. Matheus can ride his bike for 30 miles with the wind in the... Problem 505PT: In the following exercises, solve. 505. Oliver can split a truckload of logs in 8 hours, but working... Problem 506PT: In the following exercises, solve. 506. The volume of a gas in a container varies inversely with the... Problem 507PT: In the following exercises, solve. 507. The cities of Dayton, Columbus, and Cincinnati form a... format_list_bulleted