AnswersFL-1200710-Mathematics for College Algebra ASolving Quadratic Equations: Quadratic Formula

Solving Quadratic Equations: Quadratic Formula — Cumulative exam Answers

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The table shows the side length and approximate area of an octagonal stop sign.Area of a Stop Sign

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A
f(x) = 4.8x2
B
f(x) = 4x2
C
f(x) = (4.8)x
D
f(x) = (4)x
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The two-way table represents data from a survey asking teachers whether they teach English, math, or both. Which is the joint relative frequency for teachers who teach math and not English? Round the answer to the nearest percent.

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A
8%
B
21%
C
33%
D
38%
43

The two-way table represents data from a survey asking students whether they plan to attend college, travel, or both after high school. Which is the marginal relative frequency for students who plan to attend college? Round the answer to the nearest percent.

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A
18%
B
22%
C
35%
D
82%
44

Ali graphs the function f(x) = –(x + 2)2 – 1 as shown.

Question illustration
A
The axis of symmetry should be x = –1.
B
The axis of symmetry should be x = 2.
C
The vertex should be a maximum.
D
The vertex should be (–2, 1).
45

The first few steps in deriving the quadratic formula are shown.

Question illustration
A
The term is added to the right side of the equation, so it needs to be subtracted from the left side of the equation to balance the sides of the equation.
Option A
B
The distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.
C
The term needs to be converted so it has a common denominator before adding it to the left side of the equation to balance the equation.
Option C
D
The square root of the term needs to be found before adding the term to the left side of the equation to balance the sides of the equation.
46

What are the solutions of the quadratic equation 0 = 4(x − 3)2 − 16?

A
2 and −2.5
B
2 and 2.5
C
1 and −5
D
1 and 5
47

The quadratic model f(x) = –5x2 + 200 represents the approximate height, in meters, of a ball x seconds after being dropped. The ball is 50 meters from the ground after about how many seconds?

A
2.45
B
3.16
C
5.48
D
7.07
48

The scores of a high school entrance exam are approximately normally distributed with a given mean = 82.4 and standard deviation = 3.3. What percentage of the scores are between 75.8 and 89?

Question illustration
A
68%
B
95%
C
99.7%
D
100%
49

What is f(x) = 7x2 + 42x written in vertex form?

A
f(x) = 7(x + 6)2 – 6
B
f(x) = 7(x + 6)2 – 42
C
f(x) = 7(x + 3)2 – 9
D
f(x) = 7(x + 3)2 – 63
50

What is the axis of symmetry of h(x) = –2x2 + 12x – 3?

A
x = –15
B
x = –3
C
x = 3
D
x = 15

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