8.2 Review Worksheet (continued)
x
31. A company manufactures cans for pet food. The function f x ( ) models the radius in centimeters of a can holding x cm 3 of dog food. The graph of the corresponding function for cans of cat food is a horizontal compression of f by a factor of about 3/5. Write the corresponding function g for cans of cat food, and use it to estimate the radius of a can holding 216 cm 3 of cat food. 40 =
Graph each inequality. 32. y x 5 < +
33. y x 1 ≥ −
34. y x 2 3 > +
35. y x 3 3 ≤ +
8.2.3 Solving Radical Equations and Inequalities Solve each equation. 36. x 12 9 − = 37. x 2 1 3 0 3 + − =
38. x 5 7 25 + =
1 4
39. x 2 6 2 4 + =
40.
41.
x 3 30 +
3
x 3 2 7 7 − = − −
=
42. x
43. x
44. x x 4 7 3 3 = +
x 4 12 6 + =
x 1 − = +
5 1
45. x
46. x
47. x
x 3 13 3 2 + + =
x 8 4 + − = −
x 3 5 + = +
1 2 − =
1 4 + =
1 2 + =
48. x ( 9)
49. x (5 1)
50. x
4
4
x
(3 28)
231
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