Beginning Algebra, 11th Edition

59.The product of two consecutive integers is 29 more than their sum. What are the integers?

60.Two cars left an intersection at the same time. One traveled

west, and the other traveled 14 mi less, but to the south.

How far apart were they at that time, if the distance between

them was 16 mi more than the distance traveled south?

61.If an object is dropped, the distance din feet it falls in tseconds (disregarding air resis-

tance) is given by the quadratic equation

Find the distance an object would fall in (a)4 sec and (b)8 sec.

62.The numbers of alternative-fueled vehicles in use in the United States, in thousands, for

the years 2001–2006 are given in the table.

d= 16 t^2.

414 CHAPTER 6 Factoring and Applications

57.The length of a rug is 6 ft more than the

width. The area is Find the length

and width of the rug.

58.The surface area Sof a box is given by

A treasure chest from a sunken galleon

has the dimensions shown in the figure.

Its surface area is 650 ft^2 .Find its width.

40 ft S= 2 WH+ 2 WL+ 2 LH.

(^2).

6.6 Solve each problem.

x + 6

x

x + 4

x^20

West

x

South

x – 14

Source:Energy Information

Administration.

Number

Year (in thousands)

2001 425

2002 471

2003 534

2004 565

2005 592

2006 635

47. 48.

49. 50.

51. 52.

53. 54.

55. 15 z+ 221 z^2 + 3 z+ 22 = 0 56.x^2 = 9

t^2 - 14 t+ 49 = 0 t^2 = 121 t- 32

y^2 = 8 y n 1 n- 52 = 6

3 z^2 - 11 z- 20 = 0 81 t^2 - 64 = 0

m^2 - 5 m+ 4 = 0 x^2 =- 15 + 8 x

Using statistical methods, we developed the quadratic equation

to model the number of vehicles yin year x. Here, we used for 2001, for

2002, and so on.

x= 1 x= 2

y=-2.84x^2 +61.1x+ 366

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