Bartleby Sitemap - Textbook Solutions
All Textbook Solutions for Intermediate Algebra
In the following exercises, solve each exponential equation. Find the exact answer and then approximate it to three decimal places. 308. 5x=110In the following exercises, solve each exponential equation. Find the exact answer and then approximate it to three decimal places. 309. 4x=112In the following exercises, solve each exponential equation. Find the exact answer and then approximate it to three decimal places. 310. ex=16In the following exercises, solve each exponential equation. Find the exact answer and then approximate it to three decimal places. 311. ex=8In the following exercises, solve each exponential equation. Find the exact answer and then approximate it to three decimal places. 312. (12)x=6In the following exercises, solve each exponential equation. Find the exact answer and then approximate it to three decimal places. 313. (13)x=8In the following exercises, solve each exponential equation. Find the exact answer and then approximate it to three decimal places. 314.4ex+1=16In the following exercises, solve each exponential equation. Find the exact answer and then approximate it to three decimal places. 316. 6e2x=24In the following exercises, solve each exponential equation. Find the exact answer and then approximate it to three decimal places. 316. 6e2x=24In the following exercises, solve each exponential equation. Find the exact answer and then approximate it to three decimal places. 317. 2e3x=32In the following exercises, solve each exponential equation. Find the exact answer and then approximate it to three decimal places. 318. 14ex=3In the following exercises, solve each exponential equation. Find the exact answer and then approximate it to three decimal places. 319. 13ex=2In the following exercises, solve each exponential equation. Find the exact answer and then approximate it to three decimal places. 320. ex+1+2=16In the following exercises, solve each exponential equation. Find the exact answer and then approximate it to three decimal places. 321. ex1+4=12In the following exercises, solve each equation. 322. 33x+1=81In the following exercises, solve each equation. 323. 64x17=216In the following exercises, solve each equation. 324. ex2e14=e5xIn the following exercises, solve each equation. 325. ex2ex=e20In the following exercises, solve each equation. 326. loga64=2In the following exercises, solve each equation. 327. loga81=4In the following exercises, solve each equation. 328. lnx=8In the following exercises, solve each equation. 329.lnx=9In the following exercises, solve each equation. 330. log5(3x8)=2In the following exercises, solve each equation. 331. log4(7x+15)=3In the following exercises, solve each equation. 332. lne5x=30In the following exercises, solve each equation. 333. lne6x=18In the following exercises, solve each equation. 334. 3logx=log125In the following exercises, solve each equation. 335. 7log3x=log3128In the following exercises, solve each equation. 336. log6x+log6(x5)=24In the following exercises, solve each equation. 337. log9x+log9(x4)=12In the following exercises, solve each equation. 338. log2(x+2)log2(2x+9)=log2xIn the following exercises, solve each equation. 339. log6(x+1)log6(4x+10)=log61xIn the following exercises, solve for x, giving an exact answer as well as an approximate to three decimal places. 340. 6x=91In the following exercises, solve for x, giving an exact answer as well as an approximate to three decimal places. 341. (12)x=10In the following exercises, solve for x, giving an exact answer as well as an approximate to three decimal places. 342. 7ex3=35In the following exercises, solve for x, giving an exact answer as well as an approximate to three decimal places. 343. 8ex+5=56In the following exercises, solve. 344. Sung Lee invests $5,000 at age 18. He hopes the investments will be worth $10 000 when he turns 25. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Is that a reasonable expectation?In the following exercises, solve. 345. Alice invests $15,000 at age 30 from the signing bonus of her new job. She hopes the investments will be worth $30,000 when she turns 40. If the interest compounds continuously, approximately what rate of growth will she need to achieve her goal?In the following exercises, solve. 346. Coralee invests $5,000 in an account that compounds interest monthly and earns 7%. How long will it take for her money to double?In the following exercises, solve. 347. Simone invests $8,000 in an account that compounds interest quarterly and earns 5%. How long will it take for his money to double?In the following exercises, solve. 348. Researchers recorded that a certain bacteria population declined from 100,000 to 100 in 24 hours. At this rate of decay, how many bacteria will there be in 16 hours?In the following exercises, solve. 349. Researchers recorded that a certain bacteria population declined from 800,000 to 500,000 in 6 hours after the administration of medication. At this rate of decay, how many bacteria will there be in 24 hours?In the following exercises, solve. 350. A virus takes 6 days to double its original population (A=2A0). How long will it take to triple its population?In the following exercises, solve. 351. A bacteria doubles its original population in 24 hours (A=2A0). How big will its population be in 72 hours?In the following exercises, solve. 352. Carbon-14 is used for archeological carbon dating. Its half-life is 5,730 years. How much of a 100-gram sample of Carbon-14 will be left in 1000 years?In the following exercises, solve. Radioactive technetium-99m is often used in diagnostic medicine as it has a relatively short half-life but lasts long enough to get the needed testing done on the patient. If its half-life is 6 hours, how much of the radioactive material form a 0.5 ml injection will be in the body in 24 hours?Explain the method you would use to solve these equations: 3x+1=81,3x+1=75. Does your method require logarithms for both equations? Why or why not?What is the difference between the equation for exponential growth versus the equation for exponential decay?In the following exercises, for each pair of functions, find (a) (fg)(x),(gf)(x), and (c) (fg)(x). 356. f(x)=7x2 and g(x)=5x+1In the following exercises, for each pair of functions, find (a) (fg)(x),(gf)(x), and (c) (fg)(x). 357. f(x)=4x and g(x)=x2+3xIn the following exercises, evaluate the composition. 358. For functions f(x)=3x2+2 and g(x)=4x3 , find a. (fg)(3) b. (gf)(2) c. (ff)(1)In the following exercises, evaluate the composition. 359. For functions f(x)=2x3+5 and g(x)=3x27, find a. (fg)(1) b. (gf)(2) c. (gg)(1)In the following exercises, for each set of ordered pairs, determine if it represents a function and if so, is the function one-to-one. 360. {(3,5),(24,4),(1,3),(0,2)(1,1),(2,0),(3,1)}In the following exercises, for each set of ordered pairs, determine if it represents a function and if so, is the function one-to-one. 361. {(3,0),(2,2),(1,0),(0,1),(1,2),(2,1),(3,1)}In the following exercises, for each set of ordered pairs, determine if it represents a function and if so, is the function one-to-one. 362. {(3,3)(2,1),(1,1),(0,3)(1,5),(2,4),(3,2)}In the following exercises, for each set of ordered pairs, determine if it represents a function and if so, is the function one-to-one.In the following exercises, for each set of ordered pairs, determine if it represents a function and if so, is the function one-to-one. 364.In the following exercise, find the inverse of the function, Determine the domain and range of the inverse function. 365. {(3,10),(2,5),(1,2),(0,1)}In the following exercise, graph the inverse of the one-to-one function shown. 366.In the following exercises, find the inverse of each function. 367. f(x)=3x+7 and g(x)=x73In the following exercises, find the inverse of each function. 368. f(x)=2x+9 and g(x)=x+92In the following exercises, find the inverse of each function. 369. f(x)=6x11In the following exercises, find the inverse of each function. 370. f(x)=x3+13In the following exercises, find the inverse of each function. 371. f(x)=1x+5In the following exercises, find the inverse of each function. 372. f(x)=x15In the following exercises, graph each of the following functions. 373. f(x)=4xIn the following exercises, graph each of the following functions. 374. f(x)=(15)xIn the following exercises, graph each of the following functions. 375. g(x)=(0.75)xIn the following exercises, graph each of the following functions. 376. g(x)=3x+2In the following exercises, graph each of the following functions. 377. f(x)=(2.3)x3In the following exercises, graph each of the following functions. 378. f(x)=ex+5In the following exercises, graph each of the following functions. 379. f(x)=exIn the following exercises, solve each equation. 380. 35x6=81In the following exercises, solve each equation. 381. 2x2=16In the following exercises, solve each equation. 382. 9x=27In the following exercises, solve each equation. 383. 5x2+2x=15In the following exercises, solve each equation. 384. e4xe7=e19In the following exercises, solve each equation. 385. ex2e15=e2xIn the following exercises, solve. 386. Felix invested $12,000 in a savings account. If the interest rate is 4% how much will be in the account in 12 years by each method of compounding? a. compound quarterly b. compound monthly c. compound continuously.In the following exercises, solve. 387. Sayed deposits $20,000 in an investment account. What will be the value of his investment in 30 years if the investment is earning 7% per year and is compounded continuously?In the following exercises, solve. 388. A researcher at the Center for Disease Control and Prevention is studying the growth of a bacteria. She starts her experiment with 150 of the bacteria that grows at a rate of 15% per hour. She will check on the bacteria every 24 hours. How many bacteria will he find in 24 hours?In the following exercises, solve. 389. In the last five years the population of the United States has grown at a rate of 0.7% per year to about 318,900,000. If this rate continues, what will be the population in 5 more years?In the following exercises, convert from exponential to logarithmic form. 390. 54=625In the following exercises, convert from exponential to logarithmic form. 391. 103=11,000In the following exercises, convert from exponential to logarithmic form. 392. 6315=635In the following exercises, convert from exponential to logarithmic form. 393. ey=16In the following exercises, convert each logarithmic equation to exponential form. 394. 7=log2128In the following exercises, convert each logarithmic equation to exponential form. 395. 5=log100,000In the following exercises, convert each logarithmic equation to exponential form. 396. 4=lnxIn the following exercises, solve for x. 397. logx125=3In the following exercises, solve for x. 398. log7x=2In the following exercises, solve for x. 399. log12116=xIn the following exercises, find the exact value of each logarithm without using a calculator. 400. log232In the following exercises, find the exact value of each logarithm without using a calculator. 401. log81In the following exercises, find the exact value of each logarithm without using a calculator. 402. log319In the following exercises, graph each logarithmic function. 403. y=log5xIn the following exercises, graph each logarithmic function. 404. y=log14xIn the following exercises, graph each logarithmic function. 405. y=log0.8xIn the following exercises, solve each logarithmic equation. 406. loga36=5In the following exercises, solve each logarithmic equation. 407. lnx=3In the following exercises, solve each logarithmic equation. 408. log2(5x7)=3In the following exercises, solve each logarithmic equation. 409. lne3x=24In the following exercises, solve each logarithmic equation. 410. log(x221)=2What is the decibel level of a train whistle with intensity 103 watts per square inch?In the following exercises, use the properties of logarithms to evaluate. 412. a. log71 b. log1212In the following exercises, use the properties of logarithms to evaluate. 413. a. 5log513 b. log339In the following exercises, use the properties of logarithms to evaluate. 414. a.10log5 b. log103In the following exercises, use the properties of logarithms to evaluate. 415. a. eln8 b. lne5In the following exercises, use the Quotient Property of Logarithms to write each logarithm as a sum of logarithms. Simplify if possible. 416. log4(64xy)In the following exercises, use the Quotient Property of Logarithms to write each logarithm as a sum of logarithms. Simplify if possible. 417. log10,000mIn the following exercises, use the Quotient Property of Logarithms to write each logarithm as a sum of logarithms. Simplify if possible. 418. log749yIn the following exercises, use the Quotient Property of Logarithms to write each logarithm as a sum of logarithms. Simplify if possible. 419. lne52In the following exercises, use the Power Property of Logarithms to expand each logarithm. Simplify, if possible. 420. logx9In the following exercises, use the Power Property of Logarithms to expand each logarithm. Simplify, if possible. 421. log4z7In the following exercises, use properties of logarithms to write each logarithm as a sum of logarithms. Simplify if possible. 422. log3(4x7y8)In the following exercises, use properties of logarithms to write each logarithm as a sum of logarithms. Simplify if possible. 423. log58a2b6cd3In the following exercises, use properties of logarithms to write each logarithm as a sum of logarithms. Simplify if possible. 424. ln3x2y2z4In the following exercises, use properties of logarithms to write each logarithm as a sum of logarithms. Simplify if possible. 425. log67x26y3z53In the following exercises, use the Properties of Logarithms to condense the logarithm. Simplify if possible. 426. log256log27In the following exercises, use the Properties of Logarithms to condense the logarithm. Simplify if possible. 427. 3log3x+7log3yIn the following exercises, use the Properties of Logarithms to condense the logarithm. Simplify if possible. 428. log5(x216)2log5(x+4)In the following exercises, use the Properties of Logarithms to condense the logarithm. Simplify if possible. 429. 14logy2log(y3)In the following exercises, rounding to three decimal places, approximate each logarithm. 430. log597In the following exercises, rounding to three decimal places, approximate each logarithm. 431. log316In the following exercises, solve for x. 432. 3log5x=log5216In the following exercises, solve for x. 433. log2x+log2(x2)=3In the following exercises, solve for x. 434. log(x1)log(3x+5)=logxIn the following exercises, solve for x. 435. log4(x2)+log4(x+5)=log48In the following exercises, solve for x. 436. ln(3x2)=ln(x+4)+ln2In the following exercises, solve each exponential equation. Find the exact answer and then approximate it to three decimal places. 437. 2x=101In the following exercises, solve each exponential equation. Find the exact answer and then approximate it to three decimal places. 438. ex=23In the following exercises, solve each exponential equation. Find the exact answer and then approximate it to three decimal places. 439. (13)x=7In the following exercises, solve each exponential equation. Find the exact answer and then approximate it to three decimal places. 440. 7ex+3=28In the following exercises, solve each exponential equation. Find the exact answer and then approximate it to three decimal places. 441. ex4+8=23Jerome invests $18,000 at age 17. He hopes the investments will be worth $30,000 when he turns 26. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Is that a reasonable expectation?Elise invests $4500 in an account that compounds interest monthly and earns 6%. How long will it take for her money to double?Researchers recorded that a certain bacteria population grew from 100 to 300 in 8 hours. At this rate of growth, how many bacteria will there be in 24 hours?Mouse populations can double in 8 months (A=2A0) . How long will it take for a mouse population to triple?The half-life of radioactive iodine is 60 days. How much of a 50 mg sample will be left in 40 days?For the functions, f(x)=6x+1 and g(x)=8x3, find (a) (fg)(x), (b) (gf)(x), and (c) (fg)(x).Determine if the following set of ordered pairs represents a function and if so, is the function one-to-one. {(2,2),(1,3),(0,1),(1,2),(2,3)}Determine whether each graph is the graph of a function and if so, is it one-to-one.Graph, on the same coordinate system, the inverse of the one-to-one function shown.Find the inverse of the function f(x)=x59.Graph the function g(x)=2x3.Solve the equation 22x4=64.Solve the equation ex2e4=e3x.Megan invested $21,000 in a savings account. If the interest rate is 5%, how much will be in the account in 8 years by each method of compounding? a. compound quarterly b. compound monthly c. compound continuously.Convert the equation from exponential to logarithmic form: 102=1100.Convert the equation from logarithmic equation to exponential form: 3=log7343Solve for x: log5x=3Evaluate log111.Evaluate log4164.Graph the function y=log3x.Solve for x: log(x239)=1What is the decibel level of a small fan with intensity 108 watts per square inch?Evaluate each. (a) 6log617 (b) log993In the following exercises, use properties of logarithms to write each expression as sum of logarithms, simplifying if possible. 465. log525abIn the following exercises, use properties of logarithms to write each expression as sum of logarithms, simplifying if possible. 466. lne128In the following exercises, use properties of logarithms to write each expression as sum of logarithms, simplifying if possible. 467. log25x316y2z74In the following exercises, use the Properties of Logarithms to condense the logarithm, simplifying if possible. 468. y 5log4x+3log4yIn the following exercises, use the Properties of Logarithms to condense the logarithm, simplifying if possible. 469. 16logx3log(x+5)In the following exercises, use the Properties of Logarithms to condense the logarithm, simplifying if possible. 470. Rounding to three decimal places, approximate log473.In the following exercises, use the Properties of Logarithms to condense the logarithm, simplifying if possible. 471. Solve for x: log7(x+2)+log7(x3)=log724In the following exercises, solve each exponential equation. Find the exact answer and then approximate it to three decimal places. 472. (15)x=9In the following exercises, solve each exponential equation. Find the exact answer and then approximate it to three decimal places. 473. 5ex4=40In the following exercises, solve each exponential equation. Find the exact answer and then approximate it to three decimal places. 474. Jacob invests $14,000 in an account that compounds interest quarterly and earns 4%. How long will it take for his money to double?In the following exercises, solve each exponential equation. Find the exact answer and then approximate it to three decimal places. 475. Researchers recorded that a certain bacteria population grew from 500 to 700 in 5 hours. At this rate of growth, how many bacteria will there be in 20 hours?In the following exercises, solve each exponential equation. Find the exact answer and then approximate it to three decimal places. A certain beetle population can double in 3 months (A=2A0). How long will it take for that beetle population to triple?Use the rectangular coordinate system to find the distance between the points (6,1) and (2,2).Use the rectangular coordinate system to find the distance between the points (5,3) and (3,3).Use the Distance Formula to find the distance between the points (4,5) and (5,7).Use the Distance Formula to find the distance between the points (2,5) and (14,10) .Use the Distance Formula to find the distance between the points (4,5) and (3,4). Write the answer in exact form and then find the decimal approximation, rounded to the nearest tenth if needed.Use the Distance Formula to find the distance between the points (2,5) and (3,4). Write the answer in exact form and then find the decimal approximation, rounded to the nearest tenth if needed.Use the Midpoint Formula to find the midpoint of the line segments whose endpoints are (3,5) and (5,7) plot the endpoints and the midpoint on a rectangular coordinate system.Use the Midpoint Formula to find the midpoint of the line segments whose endpoints are (2,5) and (6,1) . Plot the endpoints and the midpoint on a rectangular coordinate system.Write the standard form of the equation of the circle with a radius of 6 and center (0,0).Write the standard form of the equation of the circle with a radius of 8 and center (0,0).Write the standard form of the equation of the circle with a radius of 7 and center (2,4).Write the standard form of the equation of the circle with a radius of 9 and center (3,5).Write the standard form of the equation of the circle with center (2,1) that also contains the point (2,2).Write the standard form of the equation of the circle with center (7,1) that also contains the point (1,5).(a) Find the center and radius, then (b) Graph the circle: (x3)2+(y+4)2=4.Find the center and radius, then (b) graph the circle: (x3)2+(y1)2=16.Find the center and radius, then (b) graph the circle: 3x2+3y2=27.Find the center and radius, then (b) graph the circle: 5x2+5y2=125.Find the center and radius, then (b) graph the circle: x2+y2+6x8y+9=0.Find the center and radius, then (b) graph the circle: x2+y2+6x2y+1=0.Find the center and radius, then (b) graph the circle: x2+y22x3=0.Find the center and radius, then (b) graph the circle: x2+y212y+11=0.In the following exercises, find the distance between the points. Write the answer in exact form and then find the decimal approximation, rounded to the nearest tenth if needed. (2,0) and (5,4)In the following exercises, find the distance between the points. Write the answer in exact form and then find the decimal approximation, rounded to the nearest tenth if needed. 2. (4,3) and (2,5)In the following exercises, find the distance between the points. Write the answer in exact form and then find the decimal approximation, rounded to the nearest tenth if needed. 3. (4,3) and (8,2)In the following exercises, find the distance between the points. Write the answer in exact form and then find the decimal approximation, rounded to the nearest tenth if needed. 4. (7,3) and (8,5)In the following exercises, find the distance between the points. Write the answer in exact form and then find the decimal approximation, rounded to the nearest tenth if needed. 5. (1,4) and (2,0)In the following exercises, find the distance between the points. Write the answer in exact form and then find the decimal approximation, rounded to the nearest tenth if needed. 6. (1,3) and (5,5)In the following exercises, find the distance between the points. Write the answer in exact form and then find the decimal approximation, rounded to the nearest tenth if needed. 7. (1,4) and (6,8)In the following exercises, find the distance between the points. Write the answer in exact form and then find the decimal approximation, rounded to the nearest tenth if needed. 8. (8,2) and (7,6)In the following exercises, find the distance between the points. Write the answer in exact form and then find the decimal approximation, rounded to the nearest tenth if needed. 9. (3,5) and (0,1)In the following exercises, find the distance between the points. Write the answer in exact form and then find the decimal approximation, rounded to the nearest tenth if needed. 10. (1,2) and (3,4)In the following exercises, find the distance between the points. Write the answer in exact form and then find the decimal approximation, rounded to the nearest tenth if needed. 11.(3,1) and (1,7)In the following exercises, find the distance between the points. Write the answer in exact form and then find the decimal approximation, rounded to the nearest tenth if needed. 12. (4,5) and (7,4)In the following exercises, find the midpoint of the line segments whose endpoints are given and plot the endpoints and the midpoint on a rectangular coordinate system. 13. (0,5) and (4,3)In the following exercises, find the midpoint of the line segments whose endpoints are given and plot the endpoints and the midpoint on a rectangular coordinate system. 14. (2,6)In the following exercises, find the midpoint of the line segments whose endpoints are given and plot the endpoints and the midpoint on a rectangular coordinate system. 15. (3,1) and (4,2)In the following exercises, find the midpoint of the line segments whose endpoints are given and plot the endpoints and the midpoint on a rectangular coordinate system. 16. (3,3) and (6,1)In the following exercises, write the standard form of the equation of the circle with the given radius and center (0,0). 17. Radius: 7In the following exercises, write the standard form of the equation of the circle with the given radius and center (0,0). 18. Radius: 9In the following exercises, write the standard form of the equation of the circle with the given radius and center (0,0). 19. Radius: 2In the following exercises, write the standard form of the equation of the circle with the given radius and center (0,0). 20. Radius: 5In the following exercises, write the standard form of the equation of the circle with the given radius and center. 21. Radius: 1, center: (3,5)In the following exercises, write the standard form of the equation of the circle with the given radius and center. 22. Radius: 10, center: (2,6)the following exercises, write the standard form of the equation of the circle with the given radius and center. 23. Radius: 2.5, center: (1.5,3.5)In the following exercises, write the standard form of the equation of the circle with the given radius and center. 24. Radius: 1.5, center: (5.5,6.5)For the following exercises, write the standard form of the equation of the circle with the given center with point on the circle. 25. Center (3,2) with point (3,6)For the following exercises, write the standard form of the equation of the circle with the given center with point on the circle. 26. Center (6,6) with point (2,3)For the following exercises, write the standard form of the equation of the circle with the given center with point on the circle. 27. Center (4,4) with point (2,2)For the following exercises, write the standard form of the equation of the circle with the given center with point on the circle. 28. Center + (5,6) without point (2,3)In the following exercises, (a) find the center and radius, then (b) graph each circle. 29. (x+5)2+(y+3)2=1In the following exercises, (a) find the center and radius, then (b) graph each circle. 30. (x2)2+(y3)2=9In the following exercises, (a) find the center and radius, then (b) graph each circle. 31. (x4)2+(y+2)2=16In the following exercises, (a) find the center and radius, then (b) graph each circle. 32. (x+2)2+(y5)2=4In the following exercises, (a) find the center and radius, then (b) graph each circle. 33. x2+(y+2)2=25In the following exercises, (a) find the center and radius, then (b) graph each circle. 34. (x1)2+y2=36In the following exercises, (a) find the center and radius, then (b) graph each circle. 35. (x1.5)2+(y+2.5)2=0.25In the following exercises, (a) find the center and radius, then (b) graph each circle. 36. (x1)2+(y3)2=94In the following exercises, (a) find the center and radius, then (b) graph each circle. 37. x2+y2=64the following exercises, (a) find the center and radius, then (b) graph each circle. 38. x2+y2=49In the following exercises, (a) find the center and radius, then (b) graph each circle. 39. 2x2+2y2=8In the following exercises, (a) find the center and radius, then (b) graph each circle. 40. 6x2+6y2=216In the following exercises, (a) find the center and radius, then (b) graph each circle. 41. x2+y2+2x+6y+9=0In the following exercises, (a) find the center and radius, then (b) graph each circle. 42. x2+y26x8y=0In the following exercises, (a) find the center and radius, then (b) graph each circle. 43. x2+y24x+10y7=0In the following exercises, (a) find the center and radius, then (b) graph each circle. 44. x2+y2+12x14y+21=0In the following exercises, (a) find the center and radius, then (b) graph each circle. 45. x2+y2+6y+5=0In the following exercises, (a) find the center and radius, then (b) graph each circle. 46. x2+y210y=0In the following exercises, (a) find the center and radius, then (b) graph each circle. 47. x2+y2+4x=0In the following exercises, (a) find the center and radius, then (b) graph each circle. 48. x2+y214x+13=0Explain the relationship between the distance formula and the equation of a circle.Is a circle a function? Explain why or why not.In your own words, state the definition of a circle.In your own words, explain the steps you would take to change the general form of the equation of a circle to the standard form.Graph y=x2+5x6 by using properties.Graph y=x2+8x12 by using properties.(a) Write y=2x2+4x+5 in standard form and (b) use properties of standard form to graph the equation.(a) Write y=2x2+8x7 in standard form and (b) use properties of standard form to graph the equation.Graph x=y2 by using properties.Graph x=y2 by using properties.Graph x=y24y+12 by using properties.Graph x=y2+2y3 by using properties.Graph x=3(y1)2+2 using properties.Graph x=2(y3)2+2 using properties.Graph x=4(y+2)2+4 using properties.Graph x=2(y+3)2+2 . using properties.(a) Write x=3y2+y+7 in standard form and (b) use properties of the standard form to graph the equation.(a) Write x=4y216y12 in standard form and (b) use properties of the standard form to graph the equation.Find the equation of the parabolic arch formed in the foundation of the bridge shown, Write the equation in standard form.Find the equation of the parabolic arch formed in the foundation of the bridge shown. Write the equation in standard form.In the following exercises, graph each equation by using properties. 53. y=x2+4x3In the following exercises, graph each equation by using properties. 54. y=x2+8x15In the following exercises, graph each equation by using properties. 55. y=6x2+2x1In the following exercises, graph each equation by using properties. 56. y=8x210x+3In the following exercises, (a) write the equation in standard form and (b) use properties of the standard form to graph the equation. 57. y=x2+2x4In the following exercises, (a) write the equation in standard form and (b) use properties of the standard form to graph the equation. 58. y=2x2+4x+6In the following exercises, (a) write the equation in standard form and (b) use properties of the standard form to graph the equation. 59. y=2x24x5In the following exercises, (a) write the equation in standard form and (b) use properties of the standard form to graph the equation. 60. y=3x212x+7In the following exercises, graph each equation by using properties. 61. x=2y2In the following exercises, graph each equation by using properties. 62. x=3y2In the following exercises, graph each equation by using properties. 63. x=4y2In the following exercises, graph each equation by using properties. 64. x=4y2In the following exercises, graph each equation by using properties. 65. x=y22y+3In the following exercises, graph each equation by using properties. 66. x=y24y+5In the following exercises, graph each equation by using properties. 67. x=y2+6y+8In the following exercises, graph each equation by using properties. 68. x=y24y12In the following exercises, graph each equation by using properties. 69. x=(y2)2+3In the following exercises, graph each equation by using properties. 70. x=(y1)2+4In the following exercises, graph each equation by using properties. 71. x=(y1)2+2In the following exercises, graph each equation by using properties. 72. x=(y4)2+3In the following exercises, graph each equation by using properties. 73. x=(y+2)2+1In the following exercises, graph each equation by using properties. 74. x=(y+1)2+2In the following exercises, graph each equation by using properties. 75. x=(y+3)2+2In the following exercises, graph each equation by using properties. 76. x=(y+4)2+3In the following exercises, graph each equation by using properties. 77. x=3(y2)2+3In the following exercises, graph each equation by using properties. 78. x=2(y1)2+2In the following exercises, graph each equation by using properties. 79. x=4(y+1)24In the following exercises, graph each equation by using properties. 80. x=2(y+4)22In the following exercises, (a) write the equation in standard form and (b) use properties of the standard form to graph the equation. 81. x=y2+4y5In the following exercises, (a) write the equation in standard form and (b) use properties of the standard form to graph the equation. 82 x=y2+2y3In the following exercises, (a) write the equation in standard form and (b) use properties of the standard form to graph the equation. 83. x=2y212y16In the following exercises, (a) write the equation in standard form and (b) use properties of the standard form to graph the equation. 84. x=3y26y5In the following exercises, match each graph to one of the following equations: (a) x2+y2=64 (b) x2+y2=49 (c) (x+5)2+(y+2)2=4 (d) (x2)2+(y3)2=9 (e) y=x2+8x15 (f) y=6x2+2x1In the following exercises, match each graph to one of the following equations: (a) x2+y2=64 (b) x2+y2=49 (c) (x+5)2+(y+2)2=4 (d) (x2)2+(y3)2=9 (e) y=x2+8x15 (f) y=6x2+2x1In the following exercises, match each graph to one of the following equations: (a) x2+y2=64 (b) x2+y2=49 (c) (x+5)2+(y+2)2=4 (d) (x2)2+(y3)2=9 (e) y=x2+8x15 (f) y=6x2+2x1In the following exercises, match each graph to one of the following equations: (a) x2+y2=64 (b) x2+y2=49 (c) (x+5)2+(y+2)2=4 (d) (x2)2+(y3)2=9 (e) y=x2+8x15 (f) y=6x2+2x1In the following exercises, match each graph to one of the following equations: (a) x2+y2=64 (b) x2+y2=49 (c) (x+5)2+(y+2)2=4 (d) (x2)2+(y3)2=9 (e) y=x2+8x15 (f) y=6x2+2x1In the following exercises, match each graph to one of the following equations: (a) x2+y2=64 (b) x2+y2=49 (c) (x+5)2+(y+2)2=4 (d) (x2)2+(y3)2=9 (e) y=x2+8x15 (f) y=6x2+2x1?Write the equation of the parabolic arch formed in the foundation of the bridge shown. Write the equation in standard form.Write the equation of the parabolic arch formed in the foundation of the bridge shown. Write the equation in standard form.Write the equation of the parabolic arch formed in the foundation of the bridge shown. Write the equation in standard form.