ALEKS 360 ONLINE ACCESS (6 WEEKS) FOR B
5th Edition
ISBN: 9781260962024
Author: Miller
Publisher: MCG
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Textbook Question
Chapter 11.3, Problem 29PE
For Exercises 26–36, solve the equations. (See Examples 4–5.)
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Students have asked these similar questions
Exercises 38–40 will help you prepare for the material covered in
the first section of the next chapter.
In Exercises 38-39, simplify each algebraic expression.
38. (-9x³ + 7x? - 5x + 3) + (13x + 2r? – &x – 6)
39. (7x3 – 8x? + 9x – 6) – (2x – 6x? – 3x + 9)
40. The figures show the graphs of two functions.
y
y
201
10-
....
-20-
flx) = x³
glx) = -0.3x + 4x + 2
In Exercises 11–12, find the solution set for each equation.
11. |5x + 3| = 7
12. |6x + 1| = [4x + 15||
For Exercises 81–100, make an appropriate substitution and solve the equation. (See Examples 10–11)
81. (2x + 5)? – 7(2x + 5) - 30 = 0
82. (Зх — 7)? - 6(3х — 7)-16 3D 0
83. (x + 2x)? – 18(r + 2x) = -45
84. (x + 3x)? -
86. (у? — 3)? — 9(y? — 3) — 52 %3D 0
14(x + 3x) = -40
85. (x + 2)2 + (x + 2) – 42 = 0
10
2
10
- 61 m -
- 27 = 0
x +
+ 35 = 0
87.
88.
- 121 x +
т -
m
m
89.
2 +
2 +
= 12
90.
+ 3
+ 6
+ 3
= -8
91. 5c2/5
11c/5
+ 2 = 0
92. З3
d'/3 – 4 = 0
93. y'/2 – y/4 6 = 0
94. n'/2 + 6n/4 – 16 = 0
95. 9y
10y
+ 1 = 0
96. 100х-4
29x-2 + 1 = 0
|
97. 4t – 25 Vi = 0
98. 9m – 16Vm = 0
100. 392 + 16q
-1
99. 30k-2 –
23k-
+ 2 = 0
+ 5 = 0
Chapter 11 Solutions
ALEKS 360 ONLINE ACCESS (6 WEEKS) FOR B
Ch. 11.1 - Solve using the square root property. 25 a 2 = 16Ch. 11.1 - Solve using the square root property. 8 x 2 + 72 =...Ch. 11.1 - Solve using the square root property. ( t − 5 ) 2...Ch. 11.1 - Determine the value of that makes the polynomial...Ch. 11.1 - Determine the value of n that makes the polynomial...Ch. 11.1 - Prob. 6SPCh. 11.1 - Prob. 7SPCh. 11.1 - Prob. 8SPCh. 11.1 - Prob. 9SPCh. 11.1 - Prob. 10SP
Ch. 11.1 - Prob. 11SPCh. 11.1 - Prob. 12SPCh. 11.1 - Prob. 1PECh. 11.1 - Prob. 2PECh. 11.1 - Prob. 3PECh. 11.1 - Prob. 4PECh. 11.1 - Prob. 5PECh. 11.1 - Prob. 6PECh. 11.1 - Prob. 7PECh. 11.1 - Prob. 8PECh. 11.1 - Prob. 9PECh. 11.1 - Prob. 10PECh. 11.1 - Prob. 11PECh. 11.1 - Prob. 12PECh. 11.1 - Prob. 13PECh. 11.1 - Prob. 14PECh. 11.1 - Prob. 15PECh. 11.1 - Prob. 16PECh. 11.1 - Prob. 17PECh. 11.1 - Prob. 18PECh. 11.1 - Prob. 19PECh. 11.1 - Prob. 20PECh. 11.1 - Prob. 21PECh. 11.1 - 22. Given the equation , match the following...Ch. 11.1 - Prob. 23PECh. 11.1 - Prob. 24PECh. 11.1 - Prob. 25PECh. 11.1 - Prob. 26PECh. 11.1 - Prob. 27PECh. 11.1 - Prob. 28PECh. 11.1 - Prob. 29PECh. 11.1 - Prob. 30PECh. 11.1 - Prob. 31PECh. 11.1 - Prob. 32PECh. 11.1 - Prob. 33PECh. 11.1 - Prob. 34PECh. 11.1 - Prob. 35PECh. 11.1 - Prob. 36PECh. 11.1 - Prob. 37PECh. 11.1 - Prob. 38PECh. 11.1 - Prob. 39PECh. 11.1 - What types of quadratic equations can be solved by...Ch. 11.1 - Prob. 41PECh. 11.1 - Prob. 42PECh. 11.1 - Prob. 43PECh. 11.1 - Prob. 44PECh. 11.1 - Prob. 45PECh. 11.1 - Prob. 46PECh. 11.1 - Prob. 47PECh. 11.1 - Prob. 48PECh. 11.1 - Prob. 49PECh. 11.1 - Prob. 50PECh. 11.1 - Prob. 51PECh. 11.1 - Prob. 52PECh. 11.1 - Prob. 53PECh. 11.1 - Prob. 54PECh. 11.1 - Prob. 55PECh. 11.1 - Prob. 56PECh. 11.1 - Prob. 57PECh. 11.1 - Prob. 58PECh. 11.1 - Prob. 59PECh. 11.1 - Prob. 60PECh. 11.1 - Prob. 61PECh. 11.1 - Prob. 62PECh. 11.1 - Prob. 63PECh. 11.1 - Prob. 64PECh. 11.1 - Prob. 65PECh. 11.1 - Prob. 66PECh. 11.1 - Prob. 67PECh. 11.1 - Prob. 68PECh. 11.1 - A corner shelf is to be made from a triangular...Ch. 11.1 - Prob. 70PECh. 11.1 - Prob. 71PECh. 11.1 - Prob. 72PECh. 11.1 - Prob. 73PECh. 11.1 - If we ignore air resistance, the distance d ( t )...Ch. 11.2 - Solve the equation by using the quadratic formula....Ch. 11.2 - Solve the equation by using the quadratic formula....Ch. 11.2 - Steve and Tammy leave a campground, hiking on two...Ch. 11.2 - A rocket is launched the top of a 96 -ft building...Ch. 11.2 - Prob. 5SPCh. 11.2 - Use the discriminant to determine the type and...Ch. 11.2 - Use the discriminant to determine the type and...Ch. 11.2 - Use the discriminant to determine the type and...Ch. 11.2 - Given f ( x ) = x 2 + 5 x + 2 , Find the...Ch. 11.2 - Given f ( x ) = x 2 + 5 x + 2 , Find the x -and y...Ch. 11.2 - Given f ( x ) = 2 x 2 − 3 x + 5 , Find the...Ch. 11.2 - Given f ( x ) = 2 x 2 − 3 x + 5 , Find the y...Ch. 11.2 - Solve using any method. 2 t ( t − 1 ) + t 2 = 5Ch. 11.2 - Solve using any method. x 2 − 4 x = − 7Ch. 11.2 - Solve using any method. 1 5 x 2 − 4 5 x + 1 2 = 0Ch. 11.2 - Solve using any method. 4 y 2 − 13 = 0Ch. 11.2 - a. For the equation a x 2 + b x + c = 0 ( a ≠ 0 )...Ch. 11.2 - Use substitution to determine if x = − 3 + 5 is a...Ch. 11.2 - For Exercises 3–6, simplify the expression. 16 −...Ch. 11.2 - For Exercises 3–6, simplify the expression. 18 +...Ch. 11.2 - For Exercises 3–6, simplify the expression.
5.
Ch. 11.2 - For Exercises 3–6, simplify the expression. 10 − −...Ch. 11.2 - For Exercises 7-8, determine whether the equation...Ch. 11.2 - For Exercises 7-8, determine whether the equation...Ch. 11.2 - For Exercises 9–34, solve the equation by using...Ch. 11.2 - Prob. 10PECh. 11.2 - For Exercises 9–34, solve the equation by using...Ch. 11.2 - For Exercises 9–34, solve the equation by using...Ch. 11.2 - For Exercises 9–34, solve the equation by using...Ch. 11.2 - For Exercises 9–34, solve the equation by using...Ch. 11.2 - For Exercises 9–34, solve the equation by using...Ch. 11.2 - For Exercises 9–34, solve the equation by using...Ch. 11.2 - For Exercises 9–34, solve the equation by using...Ch. 11.2 - For Exercises 9–34, solve the equation by using...Ch. 11.2 - Prob. 19PECh. 11.2 - For Exercises 9–34, solve the equation by using...Ch. 11.2 - For Exercises 9–34, solve the equation by using...Ch. 11.2 - For Exercises 9–34, solve the equation by using...Ch. 11.2 - For Exercises 9–34, solve the equation by using...Ch. 11.2 - For Exercises 9–34, solve the equation by using...Ch. 11.2 - For Exercises 9–34, solve the equation by using...Ch. 11.2 - For Exercises 9–34, solve the equation by using...Ch. 11.2 - For Exercises 9–34, solve the equation by using...Ch. 11.2 - Prob. 28PECh. 11.2 - For Exercises 9–34, solve the equation by using...Ch. 11.2 - Prob. 30PECh. 11.2 - For Exercises 9–34, solve the equation by using...Ch. 11.2 - For Exercises 9–34, solve the equation by using...Ch. 11.2 - For Exercises 9–34, solve the equation by using...Ch. 11.2 - Prob. 34PECh. 11.2 - For Exercises 35–38, factor the expression. Then...Ch. 11.2 - For Exercises 35–38, factor the expression. Then...Ch. 11.2 - For Exercises 35–38, factor the expression. Then...Ch. 11.2 - For Exercises 35–38, factor the expression. Then...Ch. 11.2 - The volume of a cube is 27 ft 3 . Find the lengths...Ch. 11.2 - The volume of a rectangular box is 64 ft 3 . If...Ch. 11.2 - The hypotenuse of a right triangle measures 4 in....Ch. 11.2 - The length of one leg of a right triangle is 1 cm...Ch. 11.2 - The hypotenuse of a right triangle is 10.2 m long....Ch. 11.2 - The hypotenuse of a right triangle is 17 ft long....Ch. 11.2 - The fatality rate (in fatalities per 100 million...Ch. 11.2 - The braking distance (in feet) of a car going v...Ch. 11.2 - Mitch throws a baseball straight up in the air...Ch. 11.2 - An astronaut on the moon throws a rock into the...Ch. 11.2 - For Exercises 49–56, a.Write the equation in the...Ch. 11.2 - For Exercises 49–56, a.Write the equation in the...Ch. 11.2 - For Exercises 49–56,
a. Write the equation in the...Ch. 11.2 - For Exercises 49–56, a.Write the equation in the...Ch. 11.2 - For Exercises 49–56, a.Write the equation in the...Ch. 11.2 - For Exercises 49–56,
a. Write the equation in the...Ch. 11.2 - For Exercises 49–56, a.Write the equation in the...Ch. 11.2 - For Exercises 49–56, a.Write the equation in the...Ch. 11.2 - For Exercises 57–62, determine the discriminant....Ch. 11.2 - For Exercises 57–62, determine the discriminant....Ch. 11.2 - For Exercises 57–62, determine the discriminant....Ch. 11.2 - For Exercises 57–62, determine the discriminant....Ch. 11.2 - For Exercises 57–62, determine the discriminant....Ch. 11.2 - For Exercises 57–62, determine the discriminant....Ch. 11.2 - For Exercises 63–68, find the x- and y-intercepts...Ch. 11.2 - For Exercises 63–68, find the x- and y-intercepts...Ch. 11.2 - For Exercises 63–68, find the x- and y-intercepts...Ch. 11.2 - For Exercises 63–68, find the x- and y-intercepts...Ch. 11.2 - For Exercises 63–68, find the x- and y-intercepts...Ch. 11.2 - For Exercises 63–68, find the x- and y-intercepts...Ch. 11.2 - For Exercises 69–86, solve the quadratic equation...Ch. 11.2 - For Exercises 69–86, solve the quadratic equation...Ch. 11.2 - For Exercises 69–86, solve the quadratic equation...Ch. 11.2 - For Exercises 69–86, solve the quadratic equation...Ch. 11.2 - For Exercises 69–86, solve the quadratic equation...Ch. 11.2 - For Exercises 69–86, solve the quadratic equation...Ch. 11.2 - For Exercises 69–86, solve the quadratic equation...Ch. 11.2 - For Exercises 69–86, solve the quadratic equation...Ch. 11.2 - For Exercises 69–86, solve the quadratic equation...Ch. 11.2 - For Exercises 69–86, solve the quadratic equation...Ch. 11.2 - For Exercises 69–86, solve the quadratic equation...Ch. 11.2 - For Exercises 69–86, solve the quadratic equation...Ch. 11.2 - For Exercises 69–86, solve the quadratic equation...Ch. 11.2 - For Exercises 69–86, solve the quadratic equation...Ch. 11.2 - Prob. 83PECh. 11.2 - For Exercises 69–86, solve the quadratic equation...Ch. 11.2 - For Exercises 69–86, solve the quadratic equation...Ch. 11.2 - For Exercises 69–86, solve the quadratic equation...Ch. 11.2 - Sometimes students shy away from completing the...Ch. 11.2 - Sometimes students shy away from completing the...Ch. 11.2 - 89. Graph . Compare the x-intercepts with the...Ch. 11.2 - Graph Y 1 = 64 x 3 + 1 . Compare the x-intercepts...Ch. 11.2 - Graph Y 1 = 3 x 3 − 6 x 2 + 6 x . Compare the...Ch. 11.2 - 92. Graph . Compare the x-intercepts with the...Ch. 11.3 - Solve the equation.
1.
Ch. 11.3 - Solve the equation. y 2 / 3 − y 1 / 3 = 12Ch. 11.3 - Solve the equation. z − z − 2 = 0Ch. 11.3 - Solve the equation. 9 x 4 + 35 x 2 − 4 = 0Ch. 11.3 - Solve the equation.
5.
Ch. 11.3 - 1. a. An equation that can be written in the form...Ch. 11.3 - For Exercises 2–7, solve the quadratic equations....Ch. 11.3 - For Exercises 2–7, solve the quadratic...Ch. 11.3 - For Exercises 2–7, solve the quadratic equations....Ch. 11.3 - For Exercises 2–7, solve the quadratic equations....Ch. 11.3 - For Exercises 2–7, solve the quadratic equations....Ch. 11.3 - For Exercises 2–7, solve the quadratic equations....Ch. 11.3 - a. Solve the quadratic equation by factoring. u 2...Ch. 11.3 - 9. a. Solve the quadratic equation by factoring....Ch. 11.3 - a. Solve the quadratic equation by factoring. u 2...Ch. 11.3 - For Exercises 11–24, solve the equation by using...Ch. 11.3 - For Exercises 11–24, solve the equation by using...Ch. 11.3 - For Exercises 11–24, solve the equation by using...Ch. 11.3 - For Exercises 11–24, solve the equation by using...Ch. 11.3 - For Exercises 11–24, solve the equation by using...Ch. 11.3 - For Exercises 11–24, solve the equation by using...Ch. 11.3 - For Exercises 11–24, solve the equation by using...Ch. 11.3 - For Exercises 11–24, solve the equation by using...Ch. 11.3 - For Exercises 11–24, solve the equation by using...Ch. 11.3 - For Exercises 11–24, solve the equation by using...Ch. 11.3 - For Exercises 11–24, solve the equation by using...Ch. 11.3 - For Exercises 11–24, solve the equation by using...Ch. 11.3 - For Exercises 11–24, solve the equation by using...Ch. 11.3 - For Exercises 11–24, solve the equation by using...Ch. 11.3 - 25. In Example 3, we solved the equation by using...Ch. 11.3 - For Exercises 26–36, solve the equations. (See...Ch. 11.3 - For Exercises 26–36, solve the equations. (See...Ch. 11.3 - For Exercises 26–36, solve the equations. (See...Ch. 11.3 - For Exercises 26–36, solve the equations. (See...Ch. 11.3 - For Exercises 26–36, solve the equations. (See...Ch. 11.3 - For Exercises 26–36, solve the equations. (See...Ch. 11.3 - For Exercises 26–36, solve the equations. (See...Ch. 11.3 - For Exercises 26–36, solve the equations. (See...Ch. 11.3 - For Exercises 26–36, solve the equations. (See...Ch. 11.3 - For Exercises 26–36, solve the equations. (See...Ch. 11.3 - For Exercises 26–36, solve the equations. (See...Ch. 11.3 - For Exercises 37–60, solve the equations. x 4 − 16...Ch. 11.3 - For Exercises 37–60, solve the equations. t 4 −...Ch. 11.3 - For Exercises 37–60, solve the equations. ( 4 x +...Ch. 11.3 - For Exercises 37–60, solve the equations.
40.
Ch. 11.3 - For Exercises 37–60, solve the equations. 4 m 4 −...Ch. 11.3 - For Exercises 37–60, solve the equations.
42.
Ch. 11.3 - For Exercises 37–60, solve the equations. x 6 − 9...Ch. 11.3 - For Exercises 37–60, solve the equations.
44.
Ch. 11.3 - For Exercises 37–60, solve the equations.
45.
Ch. 11.3 - For Exercises 37–60, solve the equations. x 2 + 60...Ch. 11.3 - For Exercises 37–60, solve the equations.
47.
Ch. 11.3 - For Exercises 37–60, solve the equations. t + 10 =...Ch. 11.3 - For Exercises 37–60, solve the equations. 2 ( t −...Ch. 11.3 - For Exercises 37–60, solve the equations. ( x + 1...Ch. 11.3 - For Exercises 37–60, solve the equations.
51.
Ch. 11.3 - For Exercises 37–60, solve the equations. x 2 / 5...Ch. 11.3 - For Exercises 37–60, solve the equations. m 4 + 2...Ch. 11.3 - For Exercises 37–60, solve the equations. 2 c 4 +...Ch. 11.3 - For Exercises 37–60, solve the equations. a 3 + 16...Ch. 11.3 - For Exercises 37–60, solve the equations. b 3 + 9...Ch. 11.3 - For Exercises 37–60, solve the equations.
57.
Ch. 11.3 - For Exercises 37–60, solve the equations. y 3 + 8...Ch. 11.3 - For Exercises 37–60, solve the equations.
59.
Ch. 11.3 - For Exercises 37–60, solve the equations. ( 5 x +...Ch. 11.3 - a.Solve the equation x 4 + 4 x 2 + 4 = 0 . b.How...Ch. 11.3 - 62. a. Solve the equation .
b. How many solutions...Ch. 11.3 - a.Solve the equation x 4 − x 3 − 6 x 2 = 0 . b.How...Ch. 11.3 - a. Solve the equation x 4 − 10 x 2 + 9 = 0 . b....Ch. 11.3 - For Exercises 1–4, solve each equation...Ch. 11.3 - For Exercises 1–4, solve each equation by...Ch. 11.3 - For Exercises 1–4, solve each equation...Ch. 11.3 - For Exercises 1–4, solve each equation...Ch. 11.3 - In Exercises 5–24, we have presented all types of...Ch. 11.3 - In Exercises 5–24, we have presented all types of...Ch. 11.3 - In Exercises 5–24, we have presented all types of...Ch. 11.3 - In Exercises 5–24, we have presented all types of...Ch. 11.3 - In Exercises 5–24, we have presented all types of...Ch. 11.3 - In Exercises 5–24, we have presented all types of...Ch. 11.3 - In Exercises 5–24, we have presented all types of...Ch. 11.3 - In Exercises 5–24, we have presented all types of...Ch. 11.3 - In Exercises 5–24, we have presented all types of...Ch. 11.3 - In Exercises 5–24, we have presented all types of...Ch. 11.3 - In Exercises 5–24, we have presented all types of...Ch. 11.3 - In Exercises 5–24, we have presented all types of...Ch. 11.3 - In Exercises 5–24, we have presented all types of...Ch. 11.3 - In Exercises 5–24, we have presented all types of...Ch. 11.3 - In Exercises 5–24, we have presented all types of...Ch. 11.3 - In Exercises 5–24, we have presented all types of...Ch. 11.3 - In Exercises 5–24, we have presented all types of...Ch. 11.3 - In Exercises 5–24, we have presented all types of...Ch. 11.3 - In Exercises 5–24, we have presented all types of...Ch. 11.3 - In Exercises 5–24, we have presented all types of...Ch. 11.4 - Refer to the graph of f ( x ) = x 2 + k to...Ch. 11.4 - Graph the functions f , g , and h on the...Ch. 11.4 - Refer to the graph of f ( x ) = ( x − h ) 2 to...Ch. 11.4 - Graph the functions f , g , and h on the same...Ch. 11.4 - 5. Graph the functions on the same coordinate...Ch. 11.4 - 6. Graph the functions on the same coordinate...Ch. 11.4 - Given the function defined by g ( x ) = 3 ( x + 1...Ch. 11.4 - Given the function defined by h ( x ) = − 1 2 ( x...Ch. 11.4 - a. The graph of a quadratic function, f ( x ) = a...Ch. 11.4 - For Exercises 2–8, solve the equations.
2.
Ch. 11.4 - For Exercises 2–8, solve the equations.
3.
Ch. 11.4 - For Exercises 2–8, solve the equations. 2 a + 2 =...Ch. 11.4 - For Exercises 2–8, solve the equations. 5 t ( t −...Ch. 11.4 - For Exercises 2–8, solve the equations.
6.
Ch. 11.4 - For Exercises 2–8, solve the equations.
7.
Ch. 11.4 - For Exercises 2–8, solve the equations.
8.
Ch. 11.4 - Describe how the value of k affects the graph of a...Ch. 11.4 - For Exercises 10–17, graph the functions. (See...Ch. 11.4 - For Exercises 10–17, graph the functions. (See...Ch. 11.4 - For Exercises 10–17, graph the functions. (See...Ch. 11.4 - For Exercises 10–17, graph the functions. (See...Ch. 11.4 - For Exercises 10–17, graph the functions. (See...Ch. 11.4 - For Exercises 10–17, graph the functions. (See...Ch. 11.4 - For Exercises 10–17, graph the functions. (See...Ch. 11.4 - For Exercises 10–17, graph the functions. (See...Ch. 11.4 - Describe how the value of h affects the graph of a...Ch. 11.4 - For Exercises 19–26, graph the functions. (See...Ch. 11.4 - For Exercises 19–26, graph the functions. (See...Ch. 11.4 - For Exercises 19–26, graph the functions. (See...Ch. 11.4 - For Exercises 19–26, graph the functions. (See...Ch. 11.4 - For Exercises 19–26, graph the functions. (See...Ch. 11.4 - For Exercises 19–26, graph the functions. (See...Ch. 11.4 - For Exercises 19–26, graph the functions. (See...Ch. 11.4 - For Exercises 19–26, graph the functions. (See...Ch. 11.4 - Describe how the value of a affects the graph of a...Ch. 11.4 - 28. How do you determine whether the graph of a...Ch. 11.4 - For Exercises 29–36, graph the functions. (See...Ch. 11.4 - For Exercises 29–36, graph the functions. (See...Ch. 11.4 - For Exercises 29–36, graph the functions. (See...Ch. 11.4 - For Exercises 29–36, graph the functions. (See...Ch. 11.4 - For Exercises 29–36, graph the functions. (See...Ch. 11.4 - For Exercises 29–36, graph the functions. (See...Ch. 11.4 - For Exercises 29–36, graph the functions. (See...Ch. 11.4 - For Exercises 29–36, graph the functions. (See...Ch. 11.4 - For Exercises 37–44, match the function with its...Ch. 11.4 - For Exercises 37–44, match the function with its...Ch. 11.4 - For Exercises 37–44, match the function with its...Ch. 11.4 - For Exercises 37–44, match the function with its...Ch. 11.4 - For Exercises 37–44, match the function with its...Ch. 11.4 - For Exercises 37–44, match the function with its...Ch. 11.4 - For Exercises 37–44, match the function with its...Ch. 11.4 - For Exercises 37–44, match the function with its...Ch. 11.4 - For Exercises 45–64, graph the parabola and the...Ch. 11.4 - For Exercises 45–64, graph the parabola and the...Ch. 11.4 - For Exercises 45–64, graph the parabola and the...Ch. 11.4 - For Exercises 45–64, graph the parabola and the...Ch. 11.4 - For Exercises 45–64, graph the parabola and the...Ch. 11.4 - For Exercises 45–64, graph the parabola and the...Ch. 11.4 - For Exercises 45–64, graph the parabola and the...Ch. 11.4 - For Exercises 45–64, graph the parabola and the...Ch. 11.4 - For Exercises 45–64, graph the parabola and the...Ch. 11.4 - For Exercises 45–64, graph the parabola and the...Ch. 11.4 - For Exercises 45–64, graph the parabola and the...Ch. 11.4 - For Exercises 45–64, graph the parabola and the...Ch. 11.4 - For Exercises 45–64, graph the parabola and the...Ch. 11.4 - For Exercises 45–64, graph the parabola and the...Ch. 11.4 - For Exercises 45–64, graph the parabola and the...Ch. 11.4 - For Exercises 45–64, graph the parabola and the...Ch. 11.4 - For Exercises 45–64, graph the parabola and the...Ch. 11.4 - For Exercises 45–64, graph the parabola and the...Ch. 11.4 - For Exercises 45–64, graph the parabola and the...Ch. 11.4 - For Exercises 45–64, graph the parabola and the...Ch. 11.4 - Compare the graphs of the following equations to...Ch. 11.4 - 66. Compare the graphs of the following equations...Ch. 11.4 - For Exercises 67–78, write the coordinates of the...Ch. 11.4 - For Exercises 67–78, write the coordinates of the...Ch. 11.4 - For Exercises 67–78, write the coordinates of the...Ch. 11.4 - For Exercises 67–78, write the coordinates of the...Ch. 11.4 - For Exercises 67–78, write the coordinates of the...Ch. 11.4 - For Exercises 67–78, write the coordinates of the...Ch. 11.4 - For Exercises 67–78, write the coordinates of the...Ch. 11.4 - For Exercises 67–78, write the coordinates of the...Ch. 11.4 - For Exercises 67–78, write the coordinates of the...Ch. 11.4 - For Exercises 67–78, write the coordinates of the...Ch. 11.4 - For Exercises 67–78, write the coordinates of the...Ch. 11.4 - For Exercises 67–78, write the coordinates of the...Ch. 11.4 - 79. True or false: The function defined by has a...Ch. 11.4 - 80. True or false: The function defined by has a...Ch. 11.4 - 81. True or false: If the vertex represents a...Ch. 11.4 - True or false: If the vertex ( − 2 , 8 )...Ch. 11.4 - Prob. 83PECh. 11.4 - A 50-m bridge over a crevasse is supported by a...Ch. 11.4 - Prob. 85PECh. 11.5 - 1. Given:
a. Write the function in the form...Ch. 11.5 - Prob. 2SPCh. 11.5 - Given: f ( x ) = x 2 + 4 x + 6 a. Use the vertex...Ch. 11.5 - 4. An object is launched into the air with an...Ch. 11.5 - Write an equation of the parabola that passes...Ch. 11.5 - 1. a. Given (a ≠ 0), the vertex formula gives the...Ch. 11.5 - How does the graph of f ( x ) = − 2 x 2 compare...Ch. 11.5 - How does the graph of p ( x ) = 1 4 x 2 compare...Ch. 11.5 - How does the graph of Q ( x ) = x 2 − 8 3 compare...Ch. 11.5 - How does the graph of r ( x ) = x 2 + 7 compare...Ch. 11.5 - How does the graph of s ( x ) = ( x − 4 ) 2...Ch. 11.5 - How does the graph of t ( x ) = ( x + 10 ) 2...Ch. 11.5 - Find the coordinates of the vertex of the parabola...Ch. 11.5 - For Exercises 9–16, find the value of n to...Ch. 11.5 - For Exercises 9–16, find the value of n to...Ch. 11.5 - For Exercises 9–16, find the value of n to...Ch. 11.5 - For Exercises 9–16, find the value of n to...Ch. 11.5 - For Exercises 9–16, find the value of n to...Ch. 11.5 - For Exercises 9–16, find the value of n to...Ch. 11.5 - For Exercises 9–16, find the value of n to...Ch. 11.5 - For Exercises 9–16, find the value of n to...Ch. 11.5 - For Exercises 17–28, write the function in the...Ch. 11.5 - For Exercises 17–28, write the function in the...Ch. 11.5 - For Exercises 17–28, write the function in the...Ch. 11.5 - For Exercises 17–28, write the function in the...Ch. 11.5 - For Exercises 17–28, write the function in the...Ch. 11.5 - For Exercises 17–28, write the function in the...Ch. 11.5 - For Exercises 17–28, write the function in the...Ch. 11.5 - For Exercises 17–28, write the function in the...Ch. 11.5 - For Exercises 17–28, write the function in the...Ch. 11.5 - For Exercises 17–28, write the function in the...Ch. 11.5 - For Exercises 17–28, write the function in the...Ch. 11.5 - For Exercises 17–28, write the function in the...Ch. 11.5 - For Exercises 29–40, find the vertex by using the...Ch. 11.5 - For Exercises 29–40, find the vertex by using the...Ch. 11.5 - For Exercises 29–40, find the vertex by using the...Ch. 11.5 - For Exercises 29–40, find the vertex by using the...Ch. 11.5 - For Exercises 29–40, find the vertex by using the...Ch. 11.5 - For Exercises 29–40, find the vertex by using the...Ch. 11.5 - For Exercises 29–40, find the vertex by using the...Ch. 11.5 - For Exercises 29–40, find the vertex by using the...Ch. 11.5 - For Exercises 29–40, find the vertex by using the...Ch. 11.5 - For Exercises 29–40, find the vertex by using the...Ch. 11.5 - For Exercises 29–40, find the vertex by using the...Ch. 11.5 - For Exercises 29–40, find the vertex by using the...Ch. 11.5 - For Exercises 41–44, find the vertex two ways:...Ch. 11.5 - For Exercises 41–44, find the vertex two ways:...Ch. 11.5 - For Exercises 41–44, find the vertex two ways:...Ch. 11.5 - For Exercises 41–44, find the vertex two ways:...Ch. 11.5 - For Exercises 45–52
a. Find the vertex.
b. Find...Ch. 11.5 - For Exercises 45–52
a. Find the vertex.
b. Find...Ch. 11.5 - For Exercises 45–52 a.Find the vertex. b.Find the...Ch. 11.5 - For Exercises 45–52 a.Find the vertex. b.Find the...Ch. 11.5 - For Exercises 45–52
a. Find the vertex.
b. Find...Ch. 11.5 - For Exercises 45–52 a.Find the vertex. b.Find the...Ch. 11.5 - For Exercises 45–52 a.Find the vertex. b.Find the...Ch. 11.5 - For Exercises 45–52 a.Find the vertex. b.Find the...Ch. 11.5 - A set of fireworks mortar shells is launched from...Ch. 11.5 - 54. A baseball player throws a ball, and the...Ch. 11.5 - Gas mileage depends in part on the speed of the...Ch. 11.5 - Gas mileage depends in part on the speed of the...Ch. 11.5 - The Clostridium tetani bacterium is cultured to...Ch. 11.5 - The bacterium Pseudomonas aeruginosa is cultured...Ch. 11.5 - For Exercises 59–64, use the standard form of a...Ch. 11.5 - For Exercises 59–64, use the standard form of a...Ch. 11.5 - For Exercises 59–64, use the standard form of a...Ch. 11.5 - For Exercises 59–64, use the standard form of a...Ch. 11.5 - For Exercises 59–64, use the standard form of a...Ch. 11.5 - For Exercises 59–64, use the standard form of a...Ch. 11.5 - A farmer wants to fence a rectangular corral...Ch. 11.5 - A veterinarian wants to construct two equal-sized...Ch. 11.5 - For Exercises 67–72, graph the functions in...Ch. 11.5 - For Exercises 67–72, graph the functions in...Ch. 11.5 - For Exercises 67–72, graph the functions in...Ch. 11.5 - For Exercises 67–72, graph the functions in...Ch. 11.5 - For Exercises 67–72, graph the functions in...Ch. 11.5 - For Exercises 67–72, graph the functions in...Ch. 11 - Creating a Quadratic Model of the Form y = a ( x −...Ch. 11 - Creating a Quadratic Model of the Form y = a ( x −...Ch. 11 - Creating a Quadratic Model of the Form y = a ( x −...Ch. 11 - Creating a Quadratic Model of the Form y = a ( x −...Ch. 11 - Creating a Quadratic Model of the Form
Estimated...Ch. 11 - Creating a Quadratic Model of the Form
Estimated...Ch. 11 - Creating a Quadratic Model of the Form y = a ( x −...Ch. 11 - For Exercises 1–8, solve the equations by using...Ch. 11 - For Exercises 1–8, solve the equations by using...Ch. 11 - For Exercises 1–8, solve the equations by using...Ch. 11 - For Exercises 1–8, solve the equations by using...Ch. 11 - For Exercises 1–8, solve the equations by using...Ch. 11 - For Exercises 1–8, solve the equations by using...Ch. 11 - For Exercises 1–8, solve the equations by using...Ch. 11 - For Exercises 1–8, solve the equations by using...Ch. 11 - Prob. 9RECh. 11 - Use the square root property to find the length of...Ch. 11 - Prob. 11RECh. 11 - For Exercises 12–15, find the value of n so that...Ch. 11 - For Exercises 12–15, find the value of n so that...Ch. 11 - For Exercises 12–15, find the value of n so that...Ch. 11 - For Exercises 12–15, find the value of n so that...Ch. 11 - For Exercises 16–21, solve the equation by...Ch. 11 - For Exercises 16–21, solve the equation by...Ch. 11 - For Exercises 16–21, solve the equation by...Ch. 11 - For Exercises 16–21, solve the equation by...Ch. 11 - For Exercises 16–21, solve the equation by...Ch. 11 - For Exercises 16–21, solve the equation by...Ch. 11 - Solve for r. V = π r 2 h ( r > 0 )Ch. 11 - Solve for s. A = 6 s 2 ( s > 0 )Ch. 11 - Prob. 24RECh. 11 - For Exercises 25–30, determine the type (rational,...Ch. 11 - For Exercises 25–30, determine the type (rational,...Ch. 11 - For Exercises 25–30, determine the type (rational,...Ch. 11 - For Exercises 25–30, determine the type (rational,...Ch. 11 - For Exercises 25–30, determine the type (rational,...Ch. 11 - For Exercises 25–30, determine the type (rational,...Ch. 11 - For Exercises 31–38, solve the equations by using...Ch. 11 - For Exercises 31–38, solve the equations by using...Ch. 11 - For Exercises 31–38, solve the equations by using...Ch. 11 - For Exercises 31–38, solve the equations by using...Ch. 11 - For Exercises 31–38, solve the equations by using...Ch. 11 - For Exercises 31–38, solve the equations by using...Ch. 11 - For Exercises 31–38, solve the equations by using...Ch. 11 - For Exercises 31–38, solve the equations by using...Ch. 11 - For Exercises 39–42, solve using any method. 3 x 2...Ch. 11 - For Exercises 39–42, solve using any method. w 8 −...Ch. 11 - For Exercises 39–42, solve using any method. y 2 +...Ch. 11 - For Exercises 39–42, solve using any method. ( a +...Ch. 11 - The landing distance that a certain plane will...Ch. 11 - Prob. 44RECh. 11 - 45. A custom-built kitchen island is in the shape...Ch. 11 - Lincoln, Nebraska, Kansas City, Missouri, and...Ch. 11 - For Exercises 47–56, solve the equations. x − 4 x...Ch. 11 - For Exercises 47–56, solve the equations.
48.
Ch. 11 - For Exercises 47–56, solve the equations. y 4 −...Ch. 11 - For Exercises 47–56, solve the equations.
50.
Ch. 11 - For Exercises 47–56, solve the equations.
51.
Ch. 11 - For Exercises 47–56, solve the equations. p 2 / 5...Ch. 11 - For Exercises 47–56, solve the equations. 2 t t +...Ch. 11 - For Exercises 47–56, solve the equations. 1 m − 2...Ch. 11 - For Exercises 47–56, solve the equations.
55.
Ch. 11 - For Exercises 47–56, solve the equations. ( x 2 −...Ch. 11 - For Exercises 57–64, graph the function and write...Ch. 11 - For Exercises 57–64, graph the function and write...Ch. 11 - For Exercises 57–64, graph the function and write...Ch. 11 - For Exercises 57–64, graph the function and write...Ch. 11 - For Exercises 57–64, graph the function and write...Ch. 11 - For Exercises 57–64, graph the function and write...Ch. 11 - For Exercises 57–64, graph the function and write...Ch. 11 - For Exercises 57–64, graph the function and write...Ch. 11 - For Exercises 65–66, write the coordinates of the...Ch. 11 - For Exercises 65–66, write the coordinates of the...Ch. 11 - For Exercises 67–68, write the equation of the...Ch. 11 - For Exercises 67–68, write the equation of the...Ch. 11 - For Exercises 69–72, write the function in the...Ch. 11 - For Exercises 69–72, write the function in the...Ch. 11 - For Exercises 69–72, write the function in the...Ch. 11 - For Exercises 69–72, write the function in the...Ch. 11 - For Exercises 73–76, find the coordinates of the...Ch. 11 - For Exercises 73–76, find the coordinates of the...Ch. 11 - For Exercises 73–76, find the coordinates of the...Ch. 11 - For Exercises 73–76, find the coordinates of the...Ch. 11 - For the quadratic equation y = 3 4 x 2 − 3 x , a....Ch. 11 - For the quadratic equation y = − ( x + 2 ) 2 + 4 ,...Ch. 11 - Prob. 79RECh. 11 - Prob. 80RECh. 11 - Write an equation of a parabola that passes...Ch. 11 - Prob. 82RECh. 11 - Prob. 1TCh. 11 - Prob. 2TCh. 11 - For Exercises 1–3, solve the equation by using the...Ch. 11 - Find the value of n so that the expression is a...Ch. 11 - Prob. 5TCh. 11 - Prob. 6TCh. 11 - Prob. 7TCh. 11 - Prob. 8TCh. 11 - Prob. 9TCh. 11 - Prob. 10TCh. 11 - The base of a triangle is 3 ft less than twice the...Ch. 11 - Prob. 12TCh. 11 - For Exercises 13–21, solve the equation. x − x − 6...Ch. 11 - Prob. 14TCh. 11 - Prob. 15TCh. 11 - Prob. 16TCh. 11 - Prob. 17TCh. 11 - Prob. 18TCh. 11 - Prob. 19TCh. 11 - Prob. 20TCh. 11 - Prob. 21TCh. 11 - Prob. 22TCh. 11 - Prob. 23TCh. 11 - Prob. 24TCh. 11 - Prob. 25TCh. 11 - Prob. 26TCh. 11 - Prob. 27TCh. 11 - Prob. 28TCh. 11 - Prob. 29TCh. 11 - Prob. 30TCh. 11 - Prob. 31TCh. 11 - Prob. 32TCh. 11 - Prob. 33TCh. 11 - Prob. 34TCh. 11 - Prob. 1CRECh. 11 - Prob. 2CRECh. 11 - Prob. 3CRECh. 11 - Prob. 4CRECh. 11 - Prob. 5CRECh. 11 - Prob. 6CRECh. 11 - Prob. 7CRECh. 11 - Prob. 8CRECh. 11 - 9. Solve the system of equations.
Ch. 11 - Prob. 10CRECh. 11 - Prob. 11CRECh. 11 - Prob. 12CRECh. 11 - Prob. 13CRECh. 11 - Prob. 14CRECh. 11 - Prob. 15CRECh. 11 - Prob. 16CRECh. 11 - Prob. 17CRECh. 11 - Prob. 18CRECh. 11 - Prob. 19CRECh. 11 - Prob. 20CRECh. 11 - Prob. 21CRECh. 11 - Prob. 22CRECh. 11 - Prob. 23CRECh. 11 - Prob. 24CRECh. 11 - Prob. 25CRECh. 11 - Prob. 26CRECh. 11 - Prob. 27CRECh. 11 - Prob. 28CRE
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- In Exercises 59–64, solve and check each linear equation. 59. 2x – 5 = 7 60. 5x + 20 = 3x 61. 7(x – 4) = x + 2 62. 1 - 2(6 – x) = 3x + 2 63. 2(x – 4) + 3(x + 5) = 2x – 2 64. 2x 4(5x + 1) = 3x + 17arrow_forwardSolve the variation problems in Exercises 68–73. 68. A company's profit varies directly as the number of products it sells. The company makes a profit of $1175 on the sale of 25 products. What is the company's profit when it sells 105 products? 69. The distance that a body falls from rest varies directly as the square of the time of the fall. If skydivers fall 144 feet in 3 seconds, how far will they fall in 10 seconds? 70. The pitch of a musical tone varies inversely as its wavelength. A tone has a pitch of 660 vibrations per second and a wavelength of 1.6 feet. What is the pitch of a tone that has a wavelength of 2.4 feet? 71. The loudness of a stereo speaker, measured in decibels, varies inversely as the square of your distance from the speaker. When you are 8 feet from the speaker, the loudness is 28 decibels. What is the loudness when you are 4 feet from the speaker? 72. The time required to assemble computers varies directly as the number of computers assembled and inversely as…arrow_forwardIn Exercises 23–25, solve each equation. If the solution set is Ø or (-0, ), classify the equation as an inconsistent equation or an identity. 23. 3(2x – 4) = 9 – 3(x + 1) 2x 24. x - 4 x + 1 4 2 4 25. 3(x – 4) + x = 2(6 + 2x)arrow_forward
- Exercises 105-120: Complete the following. (a) Write the equation as ax² + bx + e = 0 with a > 0. (b) Calculate the discriminant b² – 4ac and determine the number of real solutions. (c) Solve the equation. 105. 3x² = 12 106. 8x - 2 = 14 107. x² – 2x = -1 108. 6x² = 4x 109. 4x = x? 110. 16x + 9 = 24x 111. x² + 1 = x 112. 2x² + x = 2 113. 2x² + 3x = 12 – 2x 114. 3x² + 3 = 5x 115. x(x – 4) = -4 116. + 3x = x – 4 117. x(x + 2) = -13 118. 4x = 6 + x? 119. 3x = 1- x 120. x(5x – 3) = 1arrow_forwardIn 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|arrow_forwardUse the Gauss-Jordan technique to solve3x1 – 0.1x2 – 0.2x3 = 7.850.1x1 + 7x2 – 0.3x3 = -19.30.3x1 – 0.2x2 + 10x3 = 71.4 Please solve in excel data tabling, thanks in advance.arrow_forward
- In Exercises 43–54, solve each absolute value equation or indicate the equation has no solution. 43. |x – 2| = 7 45. |2x – 1| = 5 47. 2|3x – 2| = 14 44. |x + 1| = 5 46. |2r – 3| = 11 48. 3|2x – 1| = 21 %3D %3D 5 24 - + 6 = 18 50. 4 1 x + 7 = 10 51. |x + 1| + 5 = 3 53. |2x – 1| + 3 = 3 52. |x + 1| + 6 = 2 54. |3x – 2| + 4 = 4arrow_forwardExercises 43–52: Complete the following. (a) Solve the equation symbolically. (b) Classify the equation as a contradiction, an identity, or a conditional equation. 43. 5x - 1 = 5x + 4 44. 7- 9: = 2(3 – 42) – z 45. 3(x - 1) = 5 46. 22 = -2(2x + 1.4) 47. 0.5(x – 2) + 5 = 0.5x + 4 48. 눈x-2(x-1)3-x + 2 2x + 1 2x 49. 50. x – 1.5 2- 3r - 1.5 51. -6 52. 0.5 (3x - 1) + 0.5x = 2x – 0.5arrow_forwardplease solve asaparrow_forward
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