AnswersDCSS Advanced Algebra CR 24-25Cumulative Exam

Cumulative Exam — Cumulative exam Answers

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Arthur drops a ball from a height of 81 feet above the ground. Its height, h, is given by the equation h = –16t2 + 81, where t is the time in seconds. For which interval of time is the height of the ball less than 17 feet?

A
mc022-1.jpg
Option A
B
mc022-2.jpg
Option B
C
mc022-3.jpg
Option C
D
mc022-4.jpg
Option D
42
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What substitution should be used to rewrite x8 – 3x4 + 2 = 0 as a quadratic equation?

A
u = x2
B
u = x4
C
u = x8
D
u = x16
43

Researchers compare the body composition of cattle feeding on a grain diet with that of cattle feeding on a grass diet. This method of gathering data is classified as

A
a census.
B
a sample survey.
C
an experiment.
D
an observational study.
44

Which expression is equivalent to (4 + 7i)(3 + 4i)?

A
–16 + 37i
B
12 – 28i
C
16 – 37i
D
37 + 16i
45

The financial planner for a beauty products manufacturer develops the system of equations below to determine how many combs must be sold to generate a profit. The linear equation models the income, in dollars, from selling x plastic combs; the quadratic equation models the cost, in dollars, to produce x plastic combs. According to the model, for what price is each comb being sold?

Question illustration
A
$0.03
B
$0.50
C
$0.95
D
$2.00
46

What is the difference?

Question illustration
A
StartFraction x squared + 4 x minus 1 Over x (x + 2) EndFraction
Option A
B
StartFraction x squared + 4 x + 1 Over x (x + 2) EndFraction
Option B
C
StartFraction 4 Over negative 1 (x squared + x minus 2) EndFraction
Option C
D
StartFraction x squared + 6 x + 1 Over x (x + 2) EndFraction
Option D
47

The table below shows the number of days, y, needed to complete a project as a function of the number of full-time staff, x, working on the project. Which rational function best models the data in the table?People Working, xDays, y36218489612

A
mc019-1.jpg
Option A
B
mc019-2.jpg
Option B
C
mc019-3.jpg
Option C
D
mc019-4.jpg
Option D
48

Using the quadratic formula to solve 2x2 = 4x – 7, what are the values of x?

A
2 plus-or-minus StartRoot 10 EndRoot i
Option A
B
1 plus-or-minus StartRoot 10 EndRoot i
Option B
C
StartFraction 2 plus-or-minus StartRoot 10 EndRoot i Over 2 EndFraction
Option C
D
1 plus-or-minus StartRoot 5 EndRoot i
Option D
49

By what approximate factor is the intensity of an earthquake with magnitude 5.4 greater than an earthquake with magnitude 5.3?M = the magnitude of an earthquakeI = the intensity of an earthquakeI0 = the smallest seismic activity that can be measured, which is 1

Question illustration
A
1.01
B
1.21
C
1.26
D
10.44
50

Which of the following is a binomial experiment?

A
Rolling a six-sided number cube 24 times and recording if a 4 comes up
B
Rolling a six-sided number cube and recording the number until a 4 comes up
C
Rolling a six-sided number cube and recording the number until an even number comes up
D
Rolling a six-sided number cube 24 times and recording the number that comes up
51

What is the product? Assume

Question illustration
A
3 x StartRoot 5 EndRoot + 3 StartRoot 165 x EndRoot + 10 StartRoot 6 EndRoot
Option A
B
3 x StartRoot 5 EndRoot + 6 StartRoot 10 x EndRoot + 5 StartRoot 3 x EndRoot + 10 StartRoot 6 EndRoot
Option B
C
3 x StartRoot 5 EndRoot + 10 StartRoot 6 EndRoot
Option C
D
StartRoot 3 x EndRoot + 5 StartRoot 3 x EndRoot + 10 StartRoot 6 EndRoot
Option D
52

What is the solution set of the quadratic inequality

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
53

Which of the following is the inverse of ?

Question illustration
A
y = log Subscript one-twelfth Baseline x
Option A
B
y = log Subscript 12 Baseline StartFraction 1 Over x EndFraction
Option B
C
y = log Subscript x Baseline 12
Option C
D
y = log Subscript 12 Baseline x
Option D
54

Using Cramer’s Rule, what is the value of y in the solution to the system of linear equations below?

Question illustration
A
-3
B
Option
Option B
C
1
D
3
55

Which phrase best describes the translation from the graph y = 2x2 to the graph of y = 2x2 + 5?

A
5 units up
B
5 units down
C
5 units right
D
5 units left
56

What are all the exact solutions of for ? Give your answer in radians.

Question illustration
A
Option
Option A
B
and
Option B
C
and
Option C
D
, and
Option D
57

Sandra graphed the system of equations that can be used to solve . What are the roots of the polynomial equation?

Question illustration
A
–12, 12
B
–4, 3
C
–3, 4
D
–1, 1
58

For which pair of functions is ?

Question illustration
A
f(a) = a2 – 4 and
Option A
B
and g(a) = 2a – 2
Option B
C
f(a) = 5 + a2 and
Option C
D
f(a) = 3 – 3a and g(a) = 4a – 5
59

Which of the following matrices does not have an inverse?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
60

What is the solution of ?

Question illustration
A
x = –2500
B
x = –50
C
x = –2.5
D
no solution

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