AnswersTX-Mathematical Models with Applications ADirect, Inverse, and Joint Variation

Quadratic Functions Answers

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1
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Complete the following table using the equation: x -3 -1 0 1 3 y Plot the points on a graph and determine which graph best represents the equation. Graph A Graph B

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A
-9, -1, 0, -1, -9; Graph B
B
9, 1, 0, 1, 9; Graph B
C
9, 1, 0, 1, 9; Graph A
D
-9, -1, 0, -1, -9; Graph A
2
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Solve the following equation algebraically: a. b. c. d. Please select the best answer from the choices provided

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A
B
B
C
C
D
D
3

Solve the following equation by first writing the equation in the form : a. b. c. d. Please select the best answer from the choices provided

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A
A
B
B
C
C
D
D
4

Solve the following equation algebraically: a. b. c. d. Please select the best answer from the choices provided

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A
A
B
B
C
C
D
D
5

Solve the following equation algebraically:

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A
-13.42, 13.42
B
13.42
C
-90, 90
D
-12.42, 12.42
6

Solve the following equation algebraically: a. b. c. d. Please select the best answer from the choices provided

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A
A
B
B
C
C
D
D
7

In a right triangle, the side c opposite the right angle is called the hypotenuse, and the other two sides a and b are called legs. The Pythagorean theorem states that in any right triangle, the lengths of the three sides are related by the equation . Use the Pythagorean theorem to answer the following question. One leg of a right triangle measures 8 inches and the hypotenuse 17 inches. Determine the length of the other leg.

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A
9 inches
B
13 inches
C
15 inches
D
17 inches
8

Solve the following equation algebraically: a. b. c. d. Please select the best answer from the choices provided

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A
A
B
B
C
C
D
D
9

Solve the following equation algebraically:

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A
4.47
B
-3.97, 3.97
C
-10, 10
D
-4.47, 4.47
10

Solve the following equation algebraically: How many solutions does this equation have? Explain.

Question illustration
A
; One solution because only -1 will satisfy the equation.
B
; No real solution because there is no real number that, when squared, produces -1.
C
; Two solutions because the square root of 1 is positive 1 and negative 1.
D
; One solution because only -1 will satisfy the equation.
11

Solve the following equation: a. b. c. No real solutions d. Please select the best answer from the choices provided

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A
B
B
C
C
D
D
12

Complete the following table using the equation: x -2 -1 0 1 2 y Plot the points on a graph and determine which graph best represents the equation. Graph A Graph B

Question illustration
A
8, 2, 0, 2, 8; Graph A
B
-8, -2, 0, -2, -8; Graph A
C
8, 2, 0, 2, 8; Graph B
D
-8, -2, 0, -2, -8; Graph B
13

Solve the following equation algebraically: a. b. c. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
14

Solve the following equation algebraically: a. b. c. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D

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