AnswersCommon Core Algebra II A-ICGeometric Series

Geometric Series — Unit test Answers

15 verified answers
1
Free Preview

A savings account pays 2% interest compounded annually. If $1,200 is deposited initially and again at the first of each year, how much money will be in the account three years after the initial deposit?

A
$1,248.48
B
$2,472.48
C
$3,672.48
D
$3,745.93
2
Free Preview

Which geometric series diverges?

A
Three-fifths + three-tenths + three-twentieths + StartFraction 3 Over 40 EndFraction + ellipsis
Option A
B
Negative 10 + 4 minus eight-fifths + StartFraction 16 Over 25 EndFraction minus ellipsis
Option B
C
Sigma-Summation Underscript n = 1 Overscript infinity EndScripts two-thirds (negative 4) Superscript n minus 1
Option C
D
Sigma-Summation Underscript n = 1 Overscript infinity EndScripts (negative 12) (one-fifth) Superscript n minus 1
Option D
3

The polynomial function f(x) = 3x5 – 2x2 + 7x models the motion of a roller coaster. The roots of the function represent when the roller coaster is at ground level. Which answer choice represents all potential values of when the roller coaster is at ground level? Begin by factoring x to create a constant term.

A
0, , 1, , 3
Option A
B
0, , 1, , 7
Option B
C
, 1, , 3
Option C
D
, 1, , 7
Option D
4

If 5 + 6i is a root of the polynomial function f(x), which of the following must also be a root of f(x)?

A
–5 – 6i
B
5 – 6i
C
6 – 5i
D
6 + 5i
5

Which polynomial function could be represented by the graph below?

Question illustration
A
f(x) = x2 + x – 2
B
f(x) = 2x2 + 2x – 4
C
f(x) = x2 – x – 2
D
f(x) = 2x2 –2x – 4
6

A bungee jumper falls 97.2 feet before bouncing back up at the end of his bungee cord. Then he falls 64.8 feet before bouncing up again. On his third descent, he falls 43.2 feet before going back up. What is the total distance the bungee jumper drops after five falls if the distances continue in this pattern? (Do not include the distance traveled up.)

A
234.0 ft
B
253.2 ft
C
789.8 ft
D
1,281.8 ft
7

What are the roots of the polynomial equation ? Use a graphing calculator and a system of equations.

Question illustration
A
–2, –1, 0, 2
B
–2, 0, 1, 2
C
–1, 0
D
0, 1
8

If f(–5) = 0, what are all the factors of the function ? Use the Remainder Theorem.

Question illustration
A
(x – 2)(x + 5)(x – 3)
B
(x + 2)(x – 5)(x + 3)
C
(x – 2)(x + 5)
D
(x + 2)(x – 5)
9

The price that a company charged for a computer accessory is given by the equation where x is the number of accessories that are produced, in millions. It costs the company $10 to make each accessory. The company currently produces 2 million accessories and makes a profit of 100 million dollars. What other number of accessories produced yields the same profit?

Question illustration
A
1.45 million
B
3.45 million
C
40 million
D
48 million
10

Which statement about the polynomial function g(x) is true?

A
If all rational roots of g(x) = 0 are integers, the leading coefficient of g(x) must be 1.
B
If all roots of g(x) = 0 are integers, the leading coefficient of g(x) must be 1.
C
If the leading coefficient of g(x) is 1, all rational roots of g(x) = 0 must be integers.
D
If the leading coefficient of g(x) is 1, all roots of g(x) = 0 must be integers.
11

Which fraction represents the decimal 0.8888...?

A
StartFraction 80 Over 99 EndFraction
Option A
B
StartFraction 1,111 Over 1,250 EndFraction
Option B
C
Eight-ninths
Option C
D
Nine-eighths
Option D
12

One root of a third degree polynomial function f(x) is –5 + 2i. Which statement describes the number and nature of all roots for this function?

A
f(x) has two real roots and one imaginary root.
B
f(x) has two imaginary roots and one real root.
C
f(x) has three imaginary roots.
D
f(x) has three real roots.
13

A polynomial function has a root of –6 with multiplicity 3 and a root of 2 with multiplicity 4. If the function has a negative leading coefficient and is of odd degree, which could be the graph of the function?

A
mc014-1.jpg
Option A
B
mc014-2.jpg
Option B
C
mc014-3.jpg
Option C
D
mc014-4.jpg
Option D
14

Which polynomial function has x-intercepts –1, 0, and 2 and passes through the point (1, –6)?

A
f(x) = x3 – x2 – 2x
B
f(x) = 3x3 – 3x2 – 6x
C
f(x) = x3 + x2 – 2x
D
f(x) = 3x3 + 3x2 – 6x
15

Which statement describes the graph of this polynomial function?

Question illustration
A
The graph crosses the x-axis at x = 2 and x = –1 and touches the x-axis at x = 0.
B
The graph touches the x-axis at x = 2 and x = –1 and crosses the x-axis at x = 0.
C
The graph crosses the x-axis at x = –2 and x = 1 and touches the x-axis at x = 0.
D
The graph touches the x-axis at x = –2 and x = 1 and crosses the x-axis at x = 0.

Did you find these answers helpful?

More from this Course

Quiz
15 verified answers

Unit Test

Quiz
15 verified answers

Unit Test

Quiz
15 verified answers

Unit Test

Geometric Series — Unit test Answers — Common…