Intermediate Algebra for College Students (7th Edition)
7th Edition
ISBN: 9780134178943
Author: Robert F. Blitzer
Publisher: PEARSON
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Chapter 8.2, Problem 52E
To determine
To calculate: The
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For Exercises 31–56, perform the indicated operations. Write the answers in standard form, a + bi. (See Examples 3-6)
31. (2 – 7i) + (8 – 3i)
32. (6 – 10i) + (8 + 4i)
33. (15 + 21i) – (18 – 40i)
34. (250 + 100i) – (80 + 25i)
35. (2.3 + 4i) – (8.1 – 2.7i) + (4.6 – 6.7i)
36. (0.05 – 0.03i) + (-0.12 + 0.08i) – (0.07 + 0.05i)
37. 2i(5 + i)
38. 4i(6 + 5i)
39. (3 – 6i)(10 + i)
40. (2 – 5i)(8 + 2i)
43. (3 – V-5)(4 + V-5)
46. (3 – 21)? + (3 + 2i)?
41. (3 -
42. (10 — З1)?
44. (2 + V=7)(10 + V-7)
45. (2 – i)? + (2 + i)?
47. (10 – 4i)(10 + 4i)
48. (3
9i)(3 + 9i)
49. (V2 + V3i)(V2 - V3i)
50. (V3 + V7i)(V5 – Vīi)
6 + 2i
51.
3 - i
5 + i
52.
4 - i
8 - 5i
53.
13 + 2i
10 – 3i
54.
11 + 4i
55.
13i
56.
7i
In Exercises 105–107, solve each equation using a graphing utility.
Graph each side separately in the same viewing rectangle. The
solutions are the x-coordinates of the intersection points.
105. |x + 1||
106. 13(x + 4)| = 12
107. 12x – 3| = 19 – 4x|
For Exercises 115–120, factor the expressions over the set of complex numbers. For assistance, consider these examples.
• In Section R.3 we saw that some expressions factor over the set of integers. For example: x - 4 = (x + 2)(x – 2).
• Some expressions factor over the set of irrational numbers. For example: - 5 = (x + V5)(x – V5).
To factor an expression such as x + 4, we need to factor over the set of complex numbers. For example, verify that
x + 4 = (x + 2i)(x – 2i).
115. а. х
- 9
116. а. х?
- 100
117. а. х
- 64
b. x + 9
b. + 100
b. x + 64
118. а. х — 25
119. а. х— 3
120. а. х — 11
b. x + 25
b. x + 3
b. x + 11
Chapter 8 Solutions
Intermediate Algebra for College Students (7th Edition)
Ch. 8.1 - Check Point 1
Solve: .
Ch. 8.1 - Prob. 2CPCh. 8.1 - Prob. 3CPCh. 8.1 - Prob. 4CPCh. 8.1 - Prob. 5CPCh. 8.1 - Prob. 6CPCh. 8.1 - Prob. 7CPCh. 8.1 - Prob. 8CPCh. 8.1 - Prob. 9CPCh. 8.1 - Prob. 10CP
Ch. 8.1 - Prob. 1CVCCh. 8.1 - Prob. 2CVCCh. 8.1 - Prob. 3CVCCh. 8.1 - Prob. 4CVCCh. 8.1 - Prob. 5CVCCh. 8.1 - Prob. 6CVCCh. 8.1 - Prob. 7CVCCh. 8.1 - Fill in each blank so that the resulting statement...Ch. 8.1 - Prob. 9CVCCh. 8.1 - In Exercises 122, solve each equation by the...Ch. 8.1 - Prob. 2ECh. 8.1 - In Exercises 1–22, solve each equation by the...Ch. 8.1 - Prob. 4ECh. 8.1 - In Exercises 122, solve each equation by the...Ch. 8.1 - Prob. 6ECh. 8.1 - In Exercises 122, solve each equation by the...Ch. 8.1 - Prob. 8ECh. 8.1 - In Exercises 1–22, solve each equation by the...Ch. 8.1 - Prob. 10ECh. 8.1 - In Exercises 1–22, solve each equation by the...Ch. 8.1 - Prob. 12ECh. 8.1 - In Exercises 122, solve each equation by the...Ch. 8.1 - In Exercises 122, solve each equation by the...Ch. 8.1 - In Exercises 122, solve each equation by the...Ch. 8.1 - Prob. 16ECh. 8.1 - Prob. 17ECh. 8.1 - In Exercises 122, solve each equation by the...Ch. 8.1 - In Exercises 1–22, solve each equation by the...Ch. 8.1 - Prob. 20ECh. 8.1 - In Exercises 1–22, solve each equation by the...Ch. 8.1 - In Exercises 122, solve each equation by the...Ch. 8.1 - In Exercises 23–34, determine the constant that...Ch. 8.1 - In Exercises 2334, determine the constant that...Ch. 8.1 - In Exercises 23–34, determine the constant that...Ch. 8.1 - Prob. 26ECh. 8.1 - In Exercises 2334, determine the constant that...Ch. 8.1 - Prob. 28ECh. 8.1 - In Exercises 2334, determine the constant that...Ch. 8.1 - Prob. 30ECh. 8.1 - In Exercises 2334, determine the constant that...Ch. 8.1 - Prob. 32ECh. 8.1 - In Exercises 23–34, determine the constant that...Ch. 8.1 - Prob. 34ECh. 8.1 - In Exercises 3558, solve each quadratic equation...Ch. 8.1 - Prob. 36ECh. 8.1 - In Exercises 3558, solve each quadratic equation...Ch. 8.1 - In Exercises 3558, solve each quadratic equation...Ch. 8.1 - In Exercises 3558, solve each quadratic equation...Ch. 8.1 - In Exercises 3558, solve each quadratic equation...Ch. 8.1 - In Exercises 3558, solve each quadratic equation...Ch. 8.1 - Prob. 42ECh. 8.1 - In Exercises 35–58, solve each quadratic equation...Ch. 8.1 - In Exercises 35–58, solve each quadratic equation...Ch. 8.1 - In Exercises 3558, solve each quadratic equation...Ch. 8.1 - Prob. 46ECh. 8.1 - In Exercises 3558, solve each quadratic equation...Ch. 8.1 - Prob. 48ECh. 8.1 - In Exercises 3558, solve each quadratic equation...Ch. 8.1 - Prob. 50ECh. 8.1 - In Exercises 3558, solve each quadratic equation...Ch. 8.1 - Prob. 52ECh. 8.1 - Prob. 53ECh. 8.1 - In Exercises 3558, solve each quadratic equation...Ch. 8.1 - Prob. 55ECh. 8.1 - Prob. 56ECh. 8.1 - Prob. 57ECh. 8.1 - In Exercises 35–58, solve each quadratic equation...Ch. 8.1 - Prob. 59ECh. 8.1 - Prob. 60ECh. 8.1 - Prob. 61ECh. 8.1 - Prob. 62ECh. 8.1 - Prob. 63ECh. 8.1 - Prob. 64ECh. 8.1 - Prob. 65ECh. 8.1 - Prob. 66ECh. 8.1 - Prob. 67ECh. 8.1 - Prob. 68ECh. 8.1 - Prob. 69ECh. 8.1 - Prob. 70ECh. 8.1 - Prob. 71ECh. 8.1 - Prob. 72ECh. 8.1 - Prob. 73ECh. 8.1 - Prob. 74ECh. 8.1 - Prob. 75ECh. 8.1 - Prob. 76ECh. 8.1 - Prob. 77ECh. 8.1 - Prob. 78ECh. 8.1 - Prob. 79ECh. 8.1 - Prob. 80ECh. 8.1 - Prob. 81ECh. 8.1 - Prob. 82ECh. 8.1 - Prob. 83ECh. 8.1 - Prob. 84ECh. 8.1 - Prob. 85ECh. 8.1 - Prob. 86ECh. 8.1 - Prob. 87ECh. 8.1 - Prob. 88ECh. 8.1 - A square flower bed is to be enlarged by adding 2...Ch. 8.1 - Prob. 90ECh. 8.1 - Prob. 91ECh. 8.1 - Prob. 92ECh. 8.1 - Prob. 93ECh. 8.1 - Prob. 94ECh. 8.1 - Prob. 95ECh. 8.1 - Prob. 96ECh. 8.1 - Prob. 97ECh. 8.1 - Prob. 98ECh. 8.1 - Prob. 99ECh. 8.1 - Prob. 100ECh. 8.1 - Make Sense? In Exercises 100103, determine whether...Ch. 8.1 - Prob. 102ECh. 8.1 - Prob. 103ECh. 8.1 - Prob. 104ECh. 8.1 - Prob. 105ECh. 8.1 - Prob. 106ECh. 8.1 - Prob. 107ECh. 8.1 - Prob. 108ECh. 8.1 - Prob. 109ECh. 8.1 - Prob. 110ECh. 8.1 - Prob. 111ECh. 8.1 - Prob. 112ECh. 8.1 - Prob. 113ECh. 8.1 - Divide: (x45x3+2x26)(x3). (Section 6.5, Example 1)Ch. 8.1 - Prob. 115ECh. 8.1 - Prob. 116ECh. 8.1 - Exercises 115–117 will help you prepare for the...Ch. 8.2 - Check Point 1
Solving using the quadratic formula:...Ch. 8.2 - Check Point 2
Solve using the quadratic formula:...Ch. 8.2 - Prob. 3CPCh. 8.2 - Prob. 4CPCh. 8.2 - Prob. 5CPCh. 8.2 - Prob. 6CPCh. 8.2 - Prob. 1CVCCh. 8.2 - Prob. 2CVCCh. 8.2 - Prob. 3CVCCh. 8.2 - Prob. 4CVCCh. 8.2 - Prob. 5CVCCh. 8.2 - Prob. 6CVCCh. 8.2 - Prob. 7CVCCh. 8.2 - Prob. 8CVCCh. 8.2 - Prob. 9CVCCh. 8.2 - Prob. 10CVCCh. 8.2 - Prob. 11CVCCh. 8.2 - Prob. 12CVCCh. 8.2 - Practice Exercises In Exercises 118, solve each...Ch. 8.2 - Prob. 2ECh. 8.2 - Practice Exercises
In Exercises 1–18, solve each...Ch. 8.2 - Prob. 4ECh. 8.2 - Practice Exercises In Exercises 118, solve each...Ch. 8.2 - Prob. 6ECh. 8.2 - Practice Exercises In Exercises 118, solve each...Ch. 8.2 - Practice Exercises In Exercises 118, solve each...Ch. 8.2 - Practice Exercises In Exercises 118, solve each...Ch. 8.2 - Prob. 10ECh. 8.2 - Practice Exercises
In Exercises 1–18, solve each...Ch. 8.2 - Prob. 12ECh. 8.2 - Practice Exercises
In Exercises 1–18, solve each...Ch. 8.2 - Practice Exercises In Exercises 118, solve each...Ch. 8.2 - Practice Exercises
In Exercises 1–18, solve each...Ch. 8.2 - Prob. 16ECh. 8.2 - Practice Exercises In Exercises 118, solve each...Ch. 8.2 - Prob. 18ECh. 8.2 - Prob. 19ECh. 8.2 - Prob. 20ECh. 8.2 - In Exercises 1930, compute the discriminant. Then...Ch. 8.2 - Prob. 22ECh. 8.2 - In Exercises 19–30, compute the discriminant. Then...Ch. 8.2 - Prob. 24ECh. 8.2 - Prob. 25ECh. 8.2 - Prob. 26ECh. 8.2 - In Exercises 19–30, compute the discriminant. Then...Ch. 8.2 - Prob. 28ECh. 8.2 - In Exercises 1930, compute the discriminant. Then...Ch. 8.2 - Prob. 30ECh. 8.2 -
In Exercises 31–50, solve each equation by the...Ch. 8.2 - Prob. 32ECh. 8.2 - In Exercises 31–50, solve each equation by the...Ch. 8.2 - Prob. 34ECh. 8.2 - Prob. 35ECh. 8.2 - Prob. 36ECh. 8.2 - In Exercises 3150, solve each equation by the...Ch. 8.2 - Prob. 38ECh. 8.2 - In Exercises 31–50, solve each equation by the...Ch. 8.2 - Prob. 40ECh. 8.2 - In Exercises 3150, solve each equation by the...Ch. 8.2 - Prob. 42ECh. 8.2 - In Exercises 3150, solve each equation by the...Ch. 8.2 - Prob. 44ECh. 8.2 - In Exercises 3150, solve each equation by the...Ch. 8.2 - Prob. 46ECh. 8.2 - In Exercises 31–50, solve each equation by the...Ch. 8.2 - Prob. 48ECh. 8.2 - In Exercises 31–50, solve each equation by the...Ch. 8.2 - Prob. 50ECh. 8.2 - In Exercises 51–64, write a quadratic equation in...Ch. 8.2 - Prob. 52ECh. 8.2 - Prob. 53ECh. 8.2 - Prob. 54ECh. 8.2 - Prob. 55ECh. 8.2 - Prob. 56ECh. 8.2 - Prob. 57ECh. 8.2 - Prob. 58ECh. 8.2 - Prob. 59ECh. 8.2 - Prob. 60ECh. 8.2 - Prob. 61ECh. 8.2 - Prob. 62ECh. 8.2 - Prob. 63ECh. 8.2 - Prob. 64ECh. 8.2 - Prob. 65ECh. 8.2 - Prob. 66ECh. 8.2 - Prob. 67ECh. 8.2 - Prob. 68ECh. 8.2 - Prob. 69ECh. 8.2 - Prob. 70ECh. 8.2 - Prob. 71ECh. 8.2 - Prob. 72ECh. 8.2 - Prob. 73ECh. 8.2 - Prob. 74ECh. 8.2 - Prob. 75ECh. 8.2 - Prob. 76ECh. 8.2 - Prob. 77ECh. 8.2 - Prob. 78ECh. 8.2 - Prob. 79ECh. 8.2 - Prob. 80ECh. 8.2 - Prob. 81ECh. 8.2 - Prob. 82ECh. 8.2 - The longer leg of a right triangle exceeds the...Ch. 8.2 - The hypotenuse of a right triangle is 6 feet long....Ch. 8.2 - A rain gutter is made from sheets of aluminum that...Ch. 8.2 - Prob. 86ECh. 8.2 - Prob. 87ECh. 8.2 - Prob. 88ECh. 8.2 - Prob. 89ECh. 8.2 - Prob. 90ECh. 8.2 - Prob. 91ECh. 8.2 - Prob. 92ECh. 8.2 - Prob. 93ECh. 8.2 - Prob. 94ECh. 8.2 - Prob. 95ECh. 8.2 - Prob. 96ECh. 8.2 - Prob. 97ECh. 8.2 - Prob. 98ECh. 8.2 - Prob. 99ECh. 8.2 - Prob. 100ECh. 8.2 - Prob. 101ECh. 8.2 - Prob. 102ECh. 8.2 - Prob. 103ECh. 8.2 - Prob. 104ECh. 8.2 - Prob. 105ECh. 8.2 - Prob. 106ECh. 8.2 - Prob. 107ECh. 8.2 - Prob. 108ECh. 8.2 - Prob. 109ECh. 8.2 - Prob. 110ECh. 8.2 - Prob. 111ECh. 8.2 - Prob. 112ECh. 8.2 - Prob. 113ECh. 8.2 - Prob. 114ECh. 8.3 - Check Point 1 Graph the quadratic function...Ch. 8.3 - Prob. 2CPCh. 8.3 - Check Point 3
Find the vertex for the parabola...Ch. 8.3 - Prob. 4CPCh. 8.3 - Prob. 5CPCh. 8.3 - Prob. 6CPCh. 8.3 - Prob. 7CPCh. 8.3 - Prob. 8CPCh. 8.3 - Prob. 1CVCCh. 8.3 - Prob. 2CVCCh. 8.3 - Prob. 3CVCCh. 8.3 - Prob. 4CVCCh. 8.3 - Prob. 5CVCCh. 8.3 - Prob. 6CVCCh. 8.3 - Prob. 7CVCCh. 8.3 - Prob. 1ECh. 8.3 - In Exercises 1–4, the graph of a quadratic...Ch. 8.3 - In Exercises 14, the graph of a quadratic function...Ch. 8.3 - In Exercises 14, the graph of a quadratic function...Ch. 8.3 - In Exercises 58, the graph of a quadratic function...Ch. 8.3 - In Exercises 5–8, the graph of a quadratic...Ch. 8.3 - In Exercises 5–8, the graph of a quadratic...Ch. 8.3 - In Exercises 5–8, the graph of a quadratic...Ch. 8.3 - In Exercises 916, find the coordinates of the...Ch. 8.3 - In Exercises 9–16, find the coordinates of the...Ch. 8.3 - In Exercises 9–16, find the coordinates of the...Ch. 8.3 - Prob. 12ECh. 8.3 - In Exercises 9–16, find the coordinates of the...Ch. 8.3 - In Exercises 9–16, find the coordinates of the...Ch. 8.3 - In Exercises 9–16, find the coordinates of the...Ch. 8.3 - Prob. 16ECh. 8.3 - In Exercises 1738, use the vertex and intercepts...Ch. 8.3 - Prob. 18ECh. 8.3 - In Exercises 17–38, use the vertex and intercepts...Ch. 8.3 - In Exercises 17–38, use the vertex and intercepts...Ch. 8.3 - In Exercises 1738, use the vertex and intercepts...Ch. 8.3 - Prob. 22ECh. 8.3 - In Exercises 1738, use the vertex and intercepts...Ch. 8.3 - Prob. 24ECh. 8.3 - In Exercises 1738, use the vertex and intercepts...Ch. 8.3 - Prob. 26ECh. 8.3 - In Exercises 1738, use the vertex and intercepts...Ch. 8.3 - Prob. 28ECh. 8.3 - In Exercises 17–38, use the vertex and intercepts...Ch. 8.3 - Prob. 30ECh. 8.3 - In Exercises 1738, use the vertex and intercepts...Ch. 8.3 - In Exercises 1738, use the vertex and intercepts...Ch. 8.3 - In Exercises 1738, use the vertex and intercepts...Ch. 8.3 - In Exercises 17–38, use the vertex and intercepts...Ch. 8.3 - In Exercises 1738, use the vertex and intercepts...Ch. 8.3 - Prob. 36ECh. 8.3 - In Exercises 17–38, use the vertex and intercepts...Ch. 8.3 - In Exercises 1738, use the vertex and intercepts...Ch. 8.3 - In Exercises 3944, an equation of a quadratic...Ch. 8.3 - Prob. 40ECh. 8.3 - In Exercises 39–44, an equation of a quadratic...Ch. 8.3 - Prob. 42ECh. 8.3 - In Exercises 3944, an equation of a quadratic...Ch. 8.3 - Prob. 44ECh. 8.3 - In Exercises 45–48, give the domain and the range...Ch. 8.3 - In Exercises 45–48, give the domain and the range...Ch. 8.3 - In Exercises 45–48, give the domain and the range...Ch. 8.3 - Prob. 48ECh. 8.3 - In Exercises 49–52, write an equation of the...Ch. 8.3 - Prob. 50ECh. 8.3 - In Exercises 49–52, write an equation of the...Ch. 8.3 - Prob. 52ECh. 8.3 - In Exercises 5356, write an equation of the...Ch. 8.3 - Prob. 54ECh. 8.3 - In Exercises 53–56, write an equation of the...Ch. 8.3 - Prob. 56ECh. 8.3 - 57. A person standing close to the edge on the top...Ch. 8.3 - 58. A person standing close to the edge on the top...Ch. 8.3 - 59. Among all pairs of numbers whose sum is 16,...Ch. 8.3 - Prob. 60ECh. 8.3 - Among all pairs of numbers whose difference is 16,...Ch. 8.3 - Prob. 62ECh. 8.3 - Prob. 63ECh. 8.3 - Prob. 64ECh. 8.3 - Prob. 65ECh. 8.3 - Prob. 66ECh. 8.3 - Prob. 67ECh. 8.3 - Prob. 68ECh. 8.3 - P(x)=R(x)C(x), where R and C are the revenue and...Ch. 8.3 - Prob. 70ECh. 8.3 - Prob. 71ECh. 8.3 - Prob. 72ECh. 8.3 - Prob. 73ECh. 8.3 - 74. Describe how to find a parabola’s vertex if...Ch. 8.3 - Prob. 75ECh. 8.3 - Prob. 76ECh. 8.3 - Prob. 77ECh. 8.3 - Prob. 78ECh. 8.3 - Prob. 79ECh. 8.3 - Prob. 80ECh. 8.3 - Prob. 81ECh. 8.3 - Prob. 82ECh. 8.3 - Prob. 83ECh. 8.3 - Prob. 84ECh. 8.3 - Prob. 85ECh. 8.3 - Prob. 86ECh. 8.3 - Prob. 87ECh. 8.3 - Prob. 88ECh. 8.3 - Prob. 89ECh. 8.3 - Prob. 90ECh. 8.3 - Prob. 91ECh. 8.3 - Prob. 92ECh. 8.3 - Prob. 93ECh. 8.3 - Prob. 94ECh. 8.3 - Prob. 95ECh. 8.3 - Prob. 96ECh. 8.3 - Prob. 97ECh. 8.3 - Prob. 98ECh. 8.3 - Prob. 99ECh. 8.3 - Prob. 100ECh. 8.3 - Prob. 101ECh. 8.3 - Prob. 1MCCPCh. 8.3 - Prob. 2MCCPCh. 8.3 - Prob. 3MCCPCh. 8.3 - Prob. 4MCCPCh. 8.3 - Prob. 5MCCPCh. 8.3 - Prob. 6MCCPCh. 8.3 - In Exercises 1–13, solve each equation by the...Ch. 8.3 - Prob. 8MCCPCh. 8.3 - Prob. 9MCCPCh. 8.3 - Prob. 10MCCPCh. 8.3 - Prob. 11MCCPCh. 8.3 - Prob. 12MCCPCh. 8.3 - Prob. 13MCCPCh. 8.3 - Prob. 14MCCPCh. 8.3 - Prob. 15MCCPCh. 8.3 - Prob. 16MCCPCh. 8.3 - Prob. 17MCCPCh. 8.3 - Prob. 18MCCPCh. 8.3 - Prob. 19MCCPCh. 8.3 - Prob. 20MCCPCh. 8.3 - Prob. 21MCCPCh. 8.3 - Prob. 22MCCPCh. 8.3 - Prob. 23MCCPCh. 8.3 - Prob. 24MCCPCh. 8.3 - Prob. 25MCCPCh. 8.4 - Check Point 1 Solve: x45x2+6=0.Ch. 8.4 - Prob. 2CPCh. 8.4 - Prob. 3CPCh. 8.4 - Prob. 4CPCh. 8.4 - Prob. 5CPCh. 8.4 - Prob. 1CVCCh. 8.4 - Prob. 2CVCCh. 8.4 - Prob. 3CVCCh. 8.4 - Prob. 4CVCCh. 8.4 - Prob. 5CVCCh. 8.4 - Practice Exercises
In Exercises 1–32, solve each...Ch. 8.4 - Prob. 2ECh. 8.4 - Practice Exercises In Exercises 132, solve each...Ch. 8.4 - Practice Exercises
In Exercises 1–32, solve each...Ch. 8.4 - Practice Exercises In Exercises 132, solve each...Ch. 8.4 - Prob. 6ECh. 8.4 - Practice Exercises
In Exercises 1–32, solve each...Ch. 8.4 - Prob. 8ECh. 8.4 - Practice Exercises
In Exercises 1–32, solve each...Ch. 8.4 - Prob. 10ECh. 8.4 - Practice Exercises
In Exercises 1–32, solve each...Ch. 8.4 - Prob. 12ECh. 8.4 - Practice Exercises
In Exercises 1–32, solve each...Ch. 8.4 - Prob. 14ECh. 8.4 - Practice Exercises In Exercises 132, solve each...Ch. 8.4 - Prob. 16ECh. 8.4 - Practice Exercises In Exercises 132, solve each...Ch. 8.4 - Prob. 18ECh. 8.4 - Practice Exercises In Exercises 132, solve each...Ch. 8.4 - Prob. 20ECh. 8.4 - Practice Exercises
In Exercises 1–32, solve each...Ch. 8.4 - Practice Exercises In Exercises 132, solve each...Ch. 8.4 - Practice Exercises In Exercises 132, solve each...Ch. 8.4 - Prob. 24ECh. 8.4 - Practice Exercises In Exercises 132, solve each...Ch. 8.4 - Prob. 26ECh. 8.4 - Practice Exercises
In Exercises 1–32, solve each...Ch. 8.4 - Prob. 28ECh. 8.4 - Practice Exercises
In Exercises 1–32, solve each...Ch. 8.4 - Prob. 30ECh. 8.4 - Prob. 31ECh. 8.4 - Prob. 32ECh. 8.4 - Prob. 33ECh. 8.4 - Prob. 34ECh. 8.4 - Prob. 35ECh. 8.4 - Prob. 36ECh. 8.4 - Prob. 37ECh. 8.4 - Prob. 38ECh. 8.4 - Prob. 39ECh. 8.4 - Prob. 40ECh. 8.4 - Prob. 41ECh. 8.4 - Prob. 42ECh. 8.4 - Prob. 43ECh. 8.4 - Prob. 44ECh. 8.4 - Prob. 45ECh. 8.4 - Prob. 46ECh. 8.4 - Prob. 47ECh. 8.4 - Prob. 48ECh. 8.4 - Prob. 49ECh. 8.4 - Prob. 50ECh. 8.4 - Prob. 51ECh. 8.4 - Prob. 52ECh. 8.4 - Prob. 53ECh. 8.4 - Prob. 54ECh. 8.4 - Prob. 55ECh. 8.4 - Prob. 56ECh. 8.4 - Prob. 57ECh. 8.4 - Prob. 58ECh. 8.4 - Prob. 59ECh. 8.4 - Prob. 60ECh. 8.4 - Prob. 61ECh. 8.4 - Prob. 62ECh. 8.4 - Prob. 63ECh. 8.4 - Prob. 64ECh. 8.4 - Prob. 65ECh. 8.4 - Prob. 66ECh. 8.4 - Prob. 67ECh. 8.4 - Prob. 68ECh. 8.4 - Prob. 69ECh. 8.4 - Prob. 70ECh. 8.4 - Prob. 71ECh. 8.4 - Prob. 72ECh. 8.4 - Prob. 73ECh. 8.4 - Prob. 74ECh. 8.4 - Prob. 75ECh. 8.4 - Prob. 76ECh. 8.5 - Check Point 1
Solve and graph the solution set on...Ch. 8.5 - Prob. 2CPCh. 8.5 - Prob. 3CPCh. 8.5 - Prob. 4CPCh. 8.5 - Prob. 5CPCh. 8.5 - Prob. 6CPCh. 8.5 - Prob. 1CVCCh. 8.5 - Prob. 2CVCCh. 8.5 - Prob. 3CVCCh. 8.5 - Prob. 4CVCCh. 8.5 - Fill in each blank so that the resulting statement...Ch. 8.5 - Prob. 1ECh. 8.5 - Prob. 2ECh. 8.5 - Prob. 3ECh. 8.5 - Prob. 4ECh. 8.5 - Prob. 5ECh. 8.5 - Prob. 6ECh. 8.5 - Prob. 7ECh. 8.5 - Prob. 8ECh. 8.5 - Prob. 9ECh. 8.5 - Prob. 10ECh. 8.5 - Prob. 11ECh. 8.5 - Prob. 12ECh. 8.5 - Prob. 13ECh. 8.5 - Prob. 14ECh. 8.5 - Prob. 15ECh. 8.5 - Prob. 16ECh. 8.5 - Prob. 17ECh. 8.5 - Prob. 18ECh. 8.5 - Prob. 19ECh. 8.5 - Prob. 20ECh. 8.5 - Prob. 21ECh. 8.5 - Prob. 22ECh. 8.5 - Prob. 23ECh. 8.5 - Prob. 24ECh. 8.5 - Prob. 25ECh. 8.5 - Solve each polynomial inequality in Exercises 1–40...Ch. 8.5 - Solve each polynomial inequality in Exercises 1–40...Ch. 8.5 - Solve each polynomial inequality in Exercises 1–40...Ch. 8.5 - Solve each polynomial inequality in Exercises 1–40...Ch. 8.5 - Solve each polynomial inequality in Exercises 1–40...Ch. 8.5 - Solve each polynomial inequality in Exercises 140...Ch. 8.5 - Solve each polynomial inequality in Exercises 1–40...Ch. 8.5 - Solve each polynomial inequality in Exercises 140...Ch. 8.5 - Solve each polynomial inequality in Exercises 1–40...Ch. 8.5 - Solve each polynomial inequality in Exercises 1–40...Ch. 8.5 - Solve each polynomial inequality in Exercises 140...Ch. 8.5 - Solve each polynomial inequality in Exercises 1–40...Ch. 8.5 - Prob. 38ECh. 8.5 - Prob. 39ECh. 8.5 - Prob. 40ECh. 8.5 - Prob. 41ECh. 8.5 - Prob. 42ECh. 8.5 - Prob. 43ECh. 8.5 - Prob. 44ECh. 8.5 - Prob. 45ECh. 8.5 - Prob. 46ECh. 8.5 - Solve each rational inequality in Exercises 41–56...Ch. 8.5 - Prob. 48ECh. 8.5 - Prob. 49ECh. 8.5 - Prob. 50ECh. 8.5 - Prob. 51ECh. 8.5 - Prob. 52ECh. 8.5 - Prob. 53ECh. 8.5 - Prob. 54ECh. 8.5 - Prob. 55ECh. 8.5 - Prob. 56ECh. 8.5 - Prob. 57ECh. 8.5 - Prob. 58ECh. 8.5 - Prob. 59ECh. 8.5 - In Exercises 57–60, use the given functions to...Ch. 8.5 - Solve each inequality in Exercises 6166 and graph...Ch. 8.5 - Solve each inequality in Exercises 6166 and graph...Ch. 8.5 - Solve each inequality in Exercises 6166 and graph...Ch. 8.5 - Solve each inequality in Exercises 61–66 and graph...Ch. 8.5 - Solve each inequality in Exercises 6166 and graph...Ch. 8.5 - Prob. 66ECh. 8.5 - Prob. 67ECh. 8.5 - Prob. 68ECh. 8.5 - Prob. 69ECh. 8.5 - Prob. 70ECh. 8.5 - Prob. 71ECh. 8.5 - Prob. 72ECh. 8.5 - Prob. 73ECh. 8.5 - The functions f(x)=0.0875x20.4x+66.6 Dry pavement...Ch. 8.5 - Prob. 75ECh. 8.5 - Prob. 76ECh. 8.5 - Prob. 77ECh. 8.5 - Prob. 78ECh. 8.5 - Prob. 79ECh. 8.5 - What is a rational inequality?Ch. 8.5 - Prob. 81ECh. 8.5 - Prob. 82ECh. 8.5 - Prob. 83ECh. 8.5 - Prob. 84ECh. 8.5 - Prob. 85ECh. 8.5 - Prob. 86ECh. 8.5 - Prob. 87ECh. 8.5 - The graph shows stopping distances for trucks at...Ch. 8.5 - Prob. 89ECh. 8.5 - Make Sense? In Exercises 9093, determine whether...Ch. 8.5 - Make Sense? In Exercises 90–93, determine whether...Ch. 8.5 - Prob. 92ECh. 8.5 - Prob. 93ECh. 8.5 - Prob. 94ECh. 8.5 - Prob. 95ECh. 8.5 - Prob. 96ECh. 8.5 - Prob. 97ECh. 8.5 - Prob. 98ECh. 8.5 - Prob. 99ECh. 8.5 - Prob. 100ECh. 8.5 - Prob. 101ECh. 8.5 - Prob. 102ECh. 8.5 - Prob. 103ECh. 8.5 - Prob. 104ECh. 8.5 - Prob. 105ECh. 8.5 - Prob. 106ECh. 8.5 - Prob. 107ECh. 8.5 - Prob. 108ECh. 8.5 - Prob. 109ECh. 8.5 - Prob. 110ECh. 8.5 - Exercises 109–111 will help you prepare for the...Ch. 8 - In Exercises 15, solve each equation by the square...Ch. 8 - In Exercises 1–5, solve each equation by the...Ch. 8 - Prob. 3RECh. 8 - In Exercises 15, solve each equation by the square...Ch. 8 - Prob. 5RECh. 8 - In Exercises 6–7, determine the constant that...Ch. 8 - Prob. 7RECh. 8 - In Exercises 810, solve each quadratic equation by...Ch. 8 - In Exercises 810, solve each quadratic equation by...Ch. 8 - Prob. 10RECh. 8 - Prob. 11RECh. 8 - Prob. 12RECh. 8 - Prob. 13RECh. 8 - In Exercises 1416, solve each equation using the...Ch. 8 - In Exercises 14–16, solve each equation using the...Ch. 8 - In Exercises 1416, solve each equation using the...Ch. 8 - In Exercises 1719, without solving the given...Ch. 8 - Prob. 18RECh. 8 - In Exercises 1719, without solving the given...Ch. 8 - In Exercises 20–26, solve each equation by the...Ch. 8 - In Exercises 2026, solve each equation by the...Ch. 8 - In Exercises 2026, solve each equation by the...Ch. 8 - Prob. 23RECh. 8 - Prob. 24RECh. 8 - Prob. 25RECh. 8 - Prob. 26RECh. 8 - Prob. 27RECh. 8 - Prob. 28RECh. 8 - Prob. 29RECh. 8 - Prob. 30RECh. 8 - Prob. 31RECh. 8 - Prob. 32RECh. 8 - Prob. 33RECh. 8 - Prob. 34RECh. 8 - Prob. 35RECh. 8 - Prob. 36RECh. 8 - Prob. 37RECh. 8 - Prob. 38RECh. 8 - Prob. 39RECh. 8 - 40. A field bordering a straight stream is to be...Ch. 8 - Prob. 41RECh. 8 - Prob. 42RECh. 8 - Prob. 43RECh. 8 - Prob. 44RECh. 8 - Prob. 45RECh. 8 - Prob. 46RECh. 8 - Prob. 47RECh. 8 - Prob. 48RECh. 8 - Prob. 49RECh. 8 - Prob. 50RECh. 8 - Prob. 51RECh. 8 - Prob. 52RECh. 8 - Prob. 53RECh. 8 - Prob. 54RECh. 8 - Prob. 1TCh. 8 - Prob. 2TCh. 8 - Prob. 3TCh. 8 - Prob. 4TCh. 8 - Prob. 5TCh. 8 - Prob. 6TCh. 8 - Prob. 7TCh. 8 - Prob. 8TCh. 8 - Prob. 9TCh. 8 - Prob. 10TCh. 8 - Prob. 11TCh. 8 - Prob. 12TCh. 8 - Prob. 13TCh. 8 - Prob. 14TCh. 8 - Prob. 15TCh. 8 - Prob. 16TCh. 8 - Prob. 17TCh. 8 - Prob. 18TCh. 8 - Prob. 19TCh. 8 - Prob. 20TCh. 8 - Prob. 21TCh. 8 - Prob. 22TCh. 8 - Prob. 23TCh. 8 - Prob. 24TCh. 8 - Prob. 25TCh. 8 - In Exercises 113, solve each equation, inequality,...Ch. 8 - Prob. 2CRECh. 8 - Prob. 3CRECh. 8 - Prob. 4CRECh. 8 - Prob. 5CRECh. 8 - Prob. 6CRECh. 8 - Prob. 7CRECh. 8 - Prob. 8CRECh. 8 - Prob. 9CRECh. 8 - Prob. 10CRECh. 8 - Prob. 11CRECh. 8 - Prob. 12CRECh. 8 - Prob. 13CRECh. 8 - Prob. 14CRECh. 8 - Prob. 15CRECh. 8 - Prob. 16CRECh. 8 - Prob. 17CRECh. 8 - Prob. 18CRECh. 8 - Prob. 19CRECh. 8 - Prob. 20CRECh. 8 - Prob. 21CRECh. 8 - Prob. 22CRECh. 8 - Prob. 23CRECh. 8 - Prob. 24CRECh. 8 - Prob. 25CRECh. 8 - Prob. 26CRECh. 8 - Prob. 27CRECh. 8 - Prob. 28CRECh. 8 - Prob. 29CRECh. 8 - Prob. 30CRECh. 8 - Prob. 31CRECh. 8 - Prob. 32CRECh. 8 - Prob. 33CRECh. 8 - Prob. 34CRECh. 8 - Prob. 35CRECh. 8 - Prob. 36CRECh. 8 - Prob. 37CRECh. 8 - Prob. 38CRECh. 8 - Prob. 39CRECh. 8 - Prob. 40CRECh. 8 - Prob. 41CRECh. 8 - Prob. 42CRE
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- In Exercises 65–69, solve each equation. 2x 65. 3 1 + 1 6. 66. 2 10 2 2x 67. 3 68. 4 2 + 3 4 Зх + 1 13 1 - x 69. 3 2 4 6 ||arrow_forwardIn Exercises 102–103, perform the indicated operations. Assume that exponents represent whole numbers. 102. (x2n – 3x" + 5) + (4x2" – 3x" – 4) – (2x2 – 5x" – 3) 103. (y3n – 7y2n + 3) – (-3y3n – 2y2" – 1) + (6y3n – yn + 1) 104. From what polynomial must 4x? + 2x – 3 be subtracted to obtain 5x? – 5x + 8?arrow_forwardRewriting an Expression In Exercises 51–54,rewrite the quadratic portion of the algebraic expressionas the sum or difference of two squares by completingthe square.arrow_forward
- For Exercises 19–26, simplify each expression and write the result in standard form, a + bi. 8 + 3i 19. 4 + 5i 20. -4 - 6i 21. 9 - 15i 22. 14 6. -2 -3 -18 + V-48 23. - 20 + V-50 14 - V-98 25. - 10 + V-125 24. 26. 4 10 -7arrow_forwardState separable equation ?arrow_forwardFor Exercises 99–103, perform the indicated operations. 1 + =i 6. 99. + -i 100. (4 – 7i)(5 + i) 3 5 101. (4 – 6i)? 102. (8 – 3i)(8 + 3i) 4 + 3i 103. 3 - iarrow_forward
- Exercises 105–107 will help you prepare for the material covered in the next section. 105. Let x represent a number. a. Write an equation in x that describes the following conditions: Four less than three times the number is 32. b. Solve the equation and determine the number. 106. Let x represent the number of countries in the world that are not free. The number of free countries exceeds the number of not-free countries by 44. Write an algebraic expression that represents the number of free countries. 107. You purchase a new car for $20,000. Each year the value of the car decreases by $2500. Write an algebraic expression that represents the car's value, in dollars, after x years.arrow_forward2 (8a 3) 3 in simplest form.arrow_forwardConvert from standard form to general formarrow_forward
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