Question 1 of 502.0 PointsSimplify the complex rational expres.docx

Question 1 of 50
2.0 Points
Simplify the complex rational expression.
A.
B.
C.
D.
Question 2 of 50
2.0 Points
Solve the quadratic equation by the square root property. (2x +
5) 2 = 49
A. {-6, 1}
B. {0, 1}

C. {-27, 27}
D. {1, 6}
Question 3 of 50
2.0 Points
Solve the linear equation.
A.
B.
C.
D.
Question 4 of 50
2.0 Points
Write the number in scientific notation.
0.000779
A.

7.79 x 10 -4
B.
7.79 x 10 4
C.
7.79 x 10 -3
D.
7.79 x 10 -5
Question 5 of 50
2.0 Points
Graph the equation in the rectangular coordinate system.
3y = 15
A.
B.
C.
D.

Question 6 of 50
2.0 Points
Along with incomes, people's charitable contributions have
steadily increased over the past few years. The table below
shows the average deduction for charitable contributions
reported on individual income tax returns for the period 1993 to
1998. Find the average annual increase between 1995 and 1997.
A. $270 per year
B. $280 per year
C. $335 per year
D. $540 per year
Question 7 of 50
2.0 Points
Find the domain of the function.
A.
(-∞, 6) (6, ∞)
B.

C.
D.
(-∞, 6]
Question 8 of 50
2.0 Points
Graph the line whose equation is given.
A.
B.
C.
D.
Question 9 of 50
2.0 Points
Find the zeros of the polynomial function.
f(x) = x 3 + 5x 2 – 4x – 20

A. x = –5, x = 4
B. x = –2, x = 2
C. x = –5, x = –2, x = 2
D. x = 5, x = –2, x = 2
Question 10 of 50
2.0 Points
You have 332 feet of fencing to enclose a rectangular region.
What is the maximum area?
A. 6889 square feet
B. 6885 square feet
C. 110,224 square feet
D. 27,556 square feet
Question 11 of 50
2.0 Points
Find the vertical asymptotes, if any, of the graph of the rational
function.

A. x = 4 and x = 4
B. x = 4
C. x = 0 and x = 4
D. No vertical asymptote
Question 12 of 50
2.0 Points
Find the y-intercept for the graph of the quadratic function.
y + 4 = (x + 2) 2
A. (0, 4)
B. (0, 0)
C. (4, 0)
D. (0, -4)
Question 13 of 50
2.0 Points
Use Newton's Law of Cooling, T = C + (T0 – C).e kt, to solve

the problem.
A cup of coffee with temperature 102°F is placed in a freezer
with temperature 0°F. After 8 minutes, the temperature of the
coffee is 52.5°F. What will its temperature be 13 minutes after
it is placed in the freezer? Round your answer to the nearest
degree.
A. 32°F
B. 29°F
C. 35°F
D. 27°F
Question 14 of 50
2.0 Points
Use the graph of f(x) = log x to obtain the graph of g(x) = log x
+ 5.
A.
B.
C.

D.
Question 15 of 50
2.0 Points
Evaluate or simplify the expression without using a calculator.
log 1000
A.
3
B.
30
C.
D.
Question 16 of 50
2.0 Points
A fossilized leaf contains 15% of its normal amount of carbon
14. How old is the fossil (to the nearest year)? Use 5600 years
as the half-life of carbon 14. Solve the problem.

A. 35,828
B. 15,299
C. 1311
D. 21,839
Question 17 of 50
2.0 Points
Find the exact value of the expression.
tan -1 0
A.
0
B.
C.
D.
Question 18 of 50
2.0 Points

Find a cofunction with the same value as the given expression.
csc 52°
A. sec 52°
B. sec 38°
C. sin 52°
D. sec 142°
Question 19 of 50
2.0 Points
The given angle is in standard position. Determine the quadrant
in which the angle lies. -25°
A. Quadrant III
B. Quadrant II
C. Quadrant IV
D. Quadrant I
Question 20 of 50
2.0 Points

Use a calculator to solve the equation on the interval [0, 2π).
Round to the nearest hundredth of a radian. sin 2x - sin x = 0
A. 1.05, 3.14, 5.24
B. 0, 1.05, 3.14, 5.24
C. 0, 2.09, 3.14, 4.19
D. 0, 2.09, 4.19
Question 21 of 50
2.0 Points
Solve the equation on the interval [0, 2π).
tan 2x sin x = tan 2x
A.
B.
C.
D.

Question 22 of 50
2.0 Points
Use the given information to find the exact value of the
expression. sin , α lies in quadrant II, and cos, β lies in quadrant
I Find sin (α - β).
A.
B.
C.
D.
uestion 23 of 50
2.0 Points
Plot the complex number. 2 + i
A.

B.
C.
D.
Question 24 of 50
2.0 Points
Write the complex number in polar form. Express the argument
in degrees. 4i
A. 4(cos 0° + i sin 0°)
B. 4(cos 270° + i sin 270°)
C. 4(cos 90° + i sin 90°)
D. 4(cos 180° + i sin 180°)
Question 25 of 50
2.0 Points
Solve the triangle. Round lengths to the nearest tenth and angle
measures to the nearest degree. a = 6, c = 11, B = 109°

A. b = 14.1, A = 24°, C = 47°
B. b = 19.9, A = 22°, C = 49°
C. b = 17, A = 26°, C = 45°
D. No triangle
Question 26 of 50
2.0 Points
An objective function and a system of linear inequalities
representing
constraints are given. Graph the system of inequalities
representing the
constraints. Find the value of the objective function at each
corner of
the graphed region. Use these values to determine the maximum
value of
the objective function and the values of x and y for which the
maximum
occurs.
Objective Function
z = 21x - 25y
Constraints
0 ≤ x ≤ 5
0 ≤ y ≤ 8
4x + 5y ≤ 30
4x + 3y ≤ 20

A. Maximum: 105; at (5, 0)
B. Maximum: -150; at (0, 6)
C. Maximum: 0; at (0, 0)
D. Maximum: -98.75; at (1.25, 5)
Question 27 of 50
2.0 Points
Solve the system by the addition method.
x 2 - 3y 2 = 1
3x 2 + 3y 2 = 15
A. {( 1, 2), ( -1, 2), ( 1, -2), ( -1, -2)}
B. {( 1, 2), ( -1, -2)}
C. {( 2, 1), ( -2, 1), ( 2, -1), ( -2, -1)}
D. {( 2, 1), ( -2, -1)}
Question 28 of 50
2.0 Points
Graph the solution set of the system of inequalities or indicate
that
the system has no solution.

x ≥ 0
y ≥ 0
3x + 2y ≤ 6
3x + y ≤ 5
A.
B.
C.
D.
Question 29 of 50
2.0 Points
Ms. Adams received a bonus check for $12,000. She decided to
divide the money among three different investments. With some
of the money, she purchased a municipal bond paying 5.8%
simple interest. She invested twice the amount she paid for the
municipal bond in a certificate of deposit paying 4.9% simple
interest. Ms. Adams placed the balance of the money in a money
market account paying 3.7% simple interest. If Ms. Adams' total
interest for one year was $534, how much was placed in each
account?

A. municipal bond: $ 1500 certificate of deposit: $ 3000 money
market: $ 7500
B. municipal bond: $ 2500 certificate of deposit: $ 5000 money
market: $ 4500
C. municipal bond: $ 2000 certificate of deposit: $ 4000 money
market: $ 6000
D. municipal bond: $ 1750 certificate of deposit: $ 3500 money
market: $ 6750
Question 30 of 50
2.0 Points
Solve the system by the substitution method.
xy = 12
x 2 + y 2 = 40
A. {( 2, 6), ( 6, 2), ( 2, -6), ( 6, -2)}
B. {( 2, 6), ( -2, -6), ( 2, -6), ( -2, 6)}
C. {( 2, 6), ( -2, -6), ( 6, 2), ( -6, -2)}
D. {( -2, -6), ( -6, -2), ( -2, 6), ( -6, 2)}
Question 31 of 50

2.0 Points
Let B = [-1 3 6 -3]. Find -4B.
A. [-4 12 24 -12]
B. [-3 1 4 -5]
C. [4 -12 -24 12]
D. [4 3 6 -3]
Question 32 of 50
2.0 Points
Find the product AB, if possible.
A.
B.
C.
D.

Question 33 of 50
2.0 Points
Evaluate the determinant.
A.
B.
C.
D.
Question 34 of 50
2.0 Points
A.
B.

C.
D.
Question 35 of 50
2.0 Points
Solve the system of equations using matrices. Use Gauss-
Jordan
elimination.
3x - 7 - 7z = 7
6x + 4y - 3z = 67
-6x - 3y + z = -62
A. {( 7, 1, 7)}
B. {( 14, 7, -7)}
C. {( -7, 7, 14)}
D. {( 7, 7, 1)}
Question 36 of 50
2.0 Points
Graph y 2 = -2x.

A.
B.
C.
D.
Question 37 of 50
2.0 Points
Eliminate the parameter t. Find a rectangular equation for the
plane curve defined by the parametric equations.
x = 6 cos t, y = 6 sin t; 0 ≤ t ≤ 2π
A.
x 2 - y 2 = 6; -6 ≤ x ≤ 6
B.
x 2 - y 2 = 36; -6 ≤ x ≤ 6
C.
x 2 + y 2 = 6; -6 ≤ x ≤ 6

D.
x 2 + y 2 = 36; -6 ≤ x ≤ 6
Question 38 of 50
2.0 Points
Determine the direction in which the parabola opens, and the
vertex.
y = x 2 + 6x + 14
A. Opens upward; ( -3, 5)
B. Opens upward; ( 3, 5)
C. Opens to the right; ( 5, 3)
D. Opens to the right; ( 5, -3)
Question 39 of 50
2.0 Points
Match the equation to the graph.
x 2 = 7y
A.
B.

C.
D.
Question 40 of 50
2.0 Points
Convert the equation to the standard form for a parabola by
completing the square on x or y as appropriate.
y 2 + 2y - 2x - 3 = 0
A.
(y + 1) 2 = 2(x + 2)
B.
(y - 1) 2 = -2(x + 2)
C.
(y + 1) 2 = 2(x - 2)
D.
(y - 1) 2 = 2(x + 2)
Question 41 of 50
2.0 Points
Find the indicated sum.

A. 28
B. 16
C. 70
D. 54
Question 42 of 50
2.0 Points
Solve the problem. Round to the nearest hundredth of a percent
if needed.
During clinical trials of a new drug intended to reduce the risk
of heart attack, the following data indicate the occurrence of
adverse reactions among 1100 adult male trial members. What is
the probability that an adult male using the drug will experience
nausea?
A. 2.02%
B. 1.73%
C. 27.59%

D. 2.18%
Question 43 of 50
2.0 Points
Find the common difference for the arithmetic sequence. 6, 11,
16, 21, . . .
A. -15
B. -5
C. 5
D. 15
Question 44 of 50
2.0 Points
Evaluate the factorial expression.
A. n + 4!
B. 4!
C. (n + 3)!

D. 1
Question 45 of 50
2.0 Points
Find the probability. Two 6-sided dice are rolled. What is the
probability that the sum of the two numbers on the dice will be
greater than 10?
A. 1/12
B. 5/18
C. 3
D. 1/18
Question 46 of 50
2.0 Points
Use properties of limits to find the indicated limit. It may be
necessary to rewrite an expression before limit properties can be
applied.
A. 16
B. The limit does not exist.

C. -16
D. 0
Question 47 of 50
2.0 Points
Find the slope of the tangent line to the graph of f at the given
point.
A.
B.
12
C.
3
D.
Question 48 of 50
2.0 Points
The function f(x) = x 3 describes the volume of a cube, f(x), in
cubic inches, whose length, width, and height each measure x
inches. If x is changing, find the average rate of change of the
volume with respect to x as x changes from 1 inches to 1.1
inches.

A. 2.33 cubic inches per inch
B. -3.31 cubic inches per inch
C. 23.31 cubic inches per inch
D. 3.31 cubic inches per inch
Question 49 of 50
2.0 Points
Find the derivative of f at x. That is, find f '(x). f(x) = 7x + 8; x
= 5
A. 40
B. 8
C. 35
D. 7
Question 50 of 50
2.0 Points
Complete the table for the function and find the indicated limit.

A. -0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = -1
B. -0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = 0
C. -0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = 0.1
D. -0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = 1
Question 1 of 20
5.0 Points
Choose the table which contains the best values of x for finding
the requested limit of the given function.
(x2 + 8x - 2)
A.
B.
C.

D.
Reset Selection
Question 2 of 20
5.0 Points
applied.
A. 16
B. does not exist
C. -16
D. 0
Question 3 of 20
5.0 Points
Graph the function. Then use your graph to find the indicated
limit. f(x) = 7ex , f(x)
A. 0
B. 7

C. 1
D. -7
Question 4 of 20
5.0 Points
A. -0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = -1
B. -0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = 0
C. -0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = 0.1
D. -0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = 1
Question 5 of 20
5.0 Points
Use the definition of continuity to determine whether f is
continuous at a.
f(x) = 5x4 - 9x3 + x - 7a = 7
A. Not continuous

B. Continuous
Question 6 of 20
5.0 Points
point.
f(x) = x2 + 5x at (4, 36)
A. 13
B. 21
C. 9
D. 3
Question 7 of 20
5.0 Points
continuous at a.
f(x) = a = 4
A. Not continuous

B. Continuous
Question 8 of 20
5.0 Points
The function f(x) = x3 describes the volume of a cube, f(x), in
cubic inches, whose length, width, and height each measure x
inches. If x is changing, find the average rate of change of the
volume with respect to x as x changes from 1 inches to 1.1
inches.
A. 2.33 cubic inches per inch
B. -3.31 cubic inches per inch
C. 23.31 cubic inches per inch
D. 3.31 cubic inches per inch
Question 9 of 20
5.0 Points
Use the graph and the viewing rectangle shown below the graph
to find the indicated limit.
x2 - 2
[-6, 6, 1] by [-6, 6, 1]
A.
x2 - 2 = -6

B.
x2 - 2 = 2
C.
x2 - 2 = -2
D.
x2 - 2 = 6
Question 10 of 20
5.0 Points
applied.
5
A. -5
B. 0
C. 5
D. 2
Question 11 of 20
5.0 Points

The graph of a function is given. Use the graph to find the
indicated limit and function value, or state that the limit or
function value does not exist.
a. f(x)
b. f(1)
A. a. f(x) = 1
b. f(1) = 0
B. a. f(x) does not exist
b. f(1) = 2
C. a. f(x) = 2
b. f(1) = 2
D. a. f(x) = 2
Question 12 of 20
5.0 Points
The graph of a function is given. Use the graph to find the
indicated limit and function value, or state that the limit or
function value does not exist.
a. f(x)
b. f(3)

A. a. f(x) = 3
b. f(3) = 5
B. a. f(x) = 5
b. f(3) = 5
C. a. f(x) = 4
b. f(3) does not exist
D. a. f(x) does not exist
b. f(3) = 5
Question 13 of 20
5.0 Points
applied.
(2x2 + 2x + 3)2
A. -9
B. 9
C. does not exist

D. 1
Question 14 of 20
5.0 Points
A. -1.22843; -1.20298; -1.20030; -1.19970; -1.19699; -1.16858
limit = -1.20
B. -2.18529; -2.10895; -2.10090; -2.09910; -2.09096; -2.00574
limit = -2.10
C. -4.09476; -4.00995; -4.00100; -3.99900; -3.98995; -3.89526
limit = -4.0
D. 4.09476; 4.00995; 4.00100; 3.99900; 3.98995; 3.89526 limit
= 4.0
Question 15 of 20
5.0 Points
continuous at a.
f(x) =
a = -5
A. Not continuous

B. Continuous
Question 16 of 20
5.0 Points
Find the derivative of f at x. That is, find f '(x). f(x) = 7x + 8; x
= 5
A. 40
B. 8
C. 35
D. 7
Question 17 of 20
5.0 Points
Choose the table which contains the best values of x for finding
the requested limit of the given function.
A.
B.

C.
D.
Question 18 of 20
5.0 Points
Graph the function. Then use your graph to find the indicated
limit.
f(x) = , f(x)
A. 6
B. -2
C. -6
D. 2
Question 19 of 20
5.0 Points
Determine for what numbers, if any, the given function is
discontinuous.
f(x) =
A. 5

B. None
C. 0
D. -5, 5
Question 20 of 20
5.0 Points
point.
f(x) = at ( 36, 6)
A.
B. 12
C. 3
D.
Question 1 of 20
5.0 Points
Use the formula for the sum of the first n terms of a geometric

sequence to solve. Find the sum of the first four terms of the
geometric sequence: 2, 10, 50, . . . .
A. 312
B. 62
C. 156
D. 19
Question 2 of 20
5.0 Points
Find the term indicated in the expansion.
(x - 3y)11; 8th term
A. -721,710x7y4
B. -721,710x4y7
C. 240,570x7y4
D. 240,570x4y8
Question 3 of 20

5.0 Points
Find the indicated sum.
A. 28
B. 16
C. 70
D. 54
Question 4 of 20
5.0 Points
The general term of a sequence is given. Determine whether the
given sequence is arithmetic, geometric, or neither. If the
sequence is arithmetic, find the common difference; if it is
geometric, find the common ratio. an = 4n - 2
A. arithmetic, d = -2
B. geometric, r = 4
C. arithmetic, d = 4

D. neither
Question 5 of 20
5.0 Points
Find the probability. One digit from the number 3,151,221 is
written on each of seven cards. What is the probability of
drawing a card that shows 3, 1, or 5?
A. 5/7
B. 2/7
C. 4/7
D. 3/7
Question 6 of 20
5.0 Points
Use the formula for the sum of the first n terms of a geometric
sequence to solve. Find the sum of the first 8 terms of the
geometric sequence: -8, -16, -32, -64, -128, . . . .
A. -2003
B. -2040
C. -2060

D. -2038
Question 7 of 20
5.0 Points
The probability that a student at certain high school likes art is
36%. The probability that a student who likes art also likes
science is 21%. Find the probability that a student chosen at
random likes science given that he or she likes art. Round to the
nearest tenth of a percent.
A. 15.0%
B. 58.3%
C. 61.3%
D. 17.1%
Question 8 of 20
5.0 Points
Evaluate the expression.
1 -
A.

B.
C.
D.
Question 9 of 20
5.0 Points
A game spinner has regions that are numbered 1 through 9. If
the spinner is used twice, what is the probability that the first
number is a 3 and the second is a 6?
A. 1/18
B. 1/81
C. 1/9
D. 2/3
Question 10 of 20
5.0 Points
Solve the problem. Round to the nearest hundredth of a percent
if needed. During clinical trials of a new drug intended to
reduce the risk of heart attack, the following data indicate the

occurrence of adverse reactions among 1100 adult male trial
members. What is the probability that an adult male using the
drug will experience nausea?
A. 2.02%
B. 1.73%
C. 27.59%
D. 2.18%
Question 11 of 20
5.0 Points
If the given sequence is a geometric sequence, find the common
ratio.
, , , ,
A.
B. 30
C.

D. 4
Question 12 of 20
5.0 Points
Does the problem involve permutations or combinations? Do not
solve. In a student government election, 7 seniors, 2 juniors,
and 3 sophomores are running for election. Students elect four
at-large senators. In how many ways can this be done?
A. permutations
B. combinations
Question 13 of 20
5.0 Points
Evaluate the factorial expression.
A. n + 4!
B. 4!
C. (n + 3)!
D. 1

Question 14 of 20
5.0 Points
The finite sequence whose general term is an = 0.17n2 - 1.02n +
6.67 where n = 1, 2, 3, ..., 9 models the total operating costs, in
millions of dollars, for a company from 1991 through 1999.
Find
A. $21.58 million
B. $27.4 million
C. $23.28 million
D. $29.1 million
Question 15 of 20
5.0 Points
Does the problem involve permutations or combinations? Do not
solve. A club elects a president, vice-president, and secretary-
treasurer. How many sets of officers are possible if there are 15
members and any member can be elected to each position? No
person can hold more than one office.
A. permutations

B. combinations
Question 16 of 20
5.0 Points
Expand
(d - 5) 6
A.
B.
C.
D.
Question 17 of 20
5.0 Points
Question 17 of 20
5.0 Points
Write a formula for the general term (the nth term) of the
geometric sequence.
1/2,-1/10 ,1/50 , -1/250 , . . .

A.
an = 1/2n-1 (3/5)
B.
an = 1/2 - 1/5n-1
C.
an = 1/2 (-1/5)n-1
D.
an = 1/5 (-1/2)n-1
Question 18 of 20
5.0 Points
A pharmaceutical company is testing the effectiveness of a new
drug for asthma patients. The drug is given to 100 volunteers
who suffer from asthma, while a placebo is given to 100 other
volunteers who also suffer from asthma. After 4 weeks, the
volunteers are asked if they noticed improvement in their
asthma symptoms. The results of the survey are shown in the
contingency table below. What is the probability that a
volunteer received the placebo given that he did not report a
noticeable improvement in symptoms?
Improved
Did not Improve
Totals
Received the Drug
68
32
10
Received the Placebo
12
88
100
Totals
100
120

200
A. .2667
B. .733
C. .32
D. .88
Question 19 of 20
5.0 Points
Find the common difference for the arithmetic sequence. 6, 11,
16, 21, . . .
A. -15
B. -5
C. 5
D. 15
Question 20 of 20
5.0 Points

Question 1 of 502.0 PointsSimplify the complex rational expres.docx

Recomendados

Recomendados

Mais conteúdo relacionado

Semelhante a Question 1 of 502.0 PointsSimplify the complex rational expres.docx

Semelhante a Question 1 of 502.0 PointsSimplify the complex rational expres.docx (12)

Mais de makdul

Mais de makdul (20)

Último

Último (20)

Question 1 of 502.0 PointsSimplify the complex rational expres.docx