AnswersCommon Core Algebra I - MA3109 B-CR 4Q 0.25 credit due 1029 or will be grade of FStrength of Correlation

Strength of Correlation — Cumulative exam Answers

50 verified answers
21
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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
22
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The box plot compares Marta’s and Ani’s diving scores in the first several meets of the season.Based on the data in the box plots, what is the best evidence to show which diver had greater overall success during the meets so far this season?

Question illustration
A
Ani was more successful because she had an outlier.
B
Marta was more successful because she received the highest score.
C
Ani was more successful because she had the greater measure of center.
D
Marta was more successful because she had the greater total spread.
23

Which is the best description of the graph of the function f(x) = 60()x?

Question illustration
A
The graph has an initial value of 20, and each successive term is determined by subtracting .
Option A
B
The graph has an initial value of 20, and each successive term is determined by multiplying by .
Option B
C
The graph has an initial value of 60, and each successive term is determined by subtracting .
Option C
D
The graph has an initial value of 60, and each successive term is determined by multiplying by .
Option D
24

The histogram shows the weights, in pounds, of checked luggage on a flight.

Question illustration
A
The mean is most likely less than 27 pounds.
B
The mean is most likely exactly 27.5 pounds.
C
The mean is most likely about 28 pounds.
D
The mean is most likely more than 28 pounds.
25

Which graph represents a reflection of f(x) = (9)x across the x-axis?

Question illustration
A
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (1, 3) and increases to (1.25, 7).
Option A
B
On a coordinate plane, an exponential function approaches y = 0 in quadrant 1 and increases in quadrant 2. It goes through (negative 1, 3) and (negative 1.25, 7).
Option B
C
On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and decreases into quadrant 4. It goes through (1, negative 3) and (1.25, negative 7).
Option C
D
On a coordinate plane, an exponential function approaches y = 0 in quadrant 4 and decreases into quadrant 3. It goes through (negative 1, negative 3) and (negative 1.25, negative 7).
Option D
26

Joline is solving the equation 0 = x2 – 5x – 4 using the quadratic formula. Which value is the negative real number solution to her quadratic equation? Round to the nearest tenth if necessary.Quadratic formula: x =

Question illustration
A
–5.7
B
–4
C
–1
D
–0.7
27

Which polynomial is prime?

A
x4 + 3x2 – x2 – 3
B
x4 – 3x2 – x2 + 3
C
3x2 + x – 6x – 2
D
3x2 + x – 6x + 3
28

Which expressions are equivalent to ? Select three correct answers.(4)x(2)x

Question illustration
A
128 Superscript StartFraction x Over 3 EndFraction
Option A
B
128 Superscript StartFraction 3 Over x EndFraction
Option B
C
(4)x
Option C
D
(4 (2 Superscript one-third Baseline) ) Superscript x
Option D
E
(2)x
Option E
29

What is the midpoint of the x-intercepts off(x) = (x – 4)(x + 4)?

A
(0,0)
B
(0,4)
C
(–4,0)
D
(2,0)
30

A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 4.5, 6.75, 10.125, 15.1875.

Question illustration
A
1.5
B
2.25
C
3.0
D
4.5
31

The projectile motion of an object can be modeled using s(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is the time in seconds since launch, s(t) is the height after t seconds, v0 is the initial velocity, and s0 is the initial height. The acceleration due to gravity is –4.9 m/s2.

A
0 = –4.9t2 + 19.6t + 24.5
B
0 = –4.9t2 + 24.5t + 19.6
C
19.6 = –4.9t2 + 24.5t
D
24.5 = –4.9t2 + 19.6t
32

The data set represents the number of rings each person in a room is wearing.0, 2, 4, 0, 2, 3, 2, 8, 6What is the interquartile range of the data?

A
2
B
3
C
4
D
6
33

The first three steps in determining the solution set of the system of equations, y = –x2 – 2x + 8 and y = 2x + 11, algebraically are shown in the table. Which represents the solution(s) of this system of equations?

Question illustration
A
(–3, –1)
B
(–3, 5)
C
(–3, 5) and (–1, 9)
D
(1, 13) and (3, 20)
34

The relative frequency table shows the results of a survey in which parents were asked how much time their children spend playing outside and how much time they spend using electronics.Given that a child spends at least 1 hour per day outside, what is the probability, rounded to the nearest hundredth if necessary, that the child spends less than 1 hour per day on electronics?

Question illustration
A
0.22
B
0.25
C
0.70
D
0.88
35

The resale value of a textbook decreases by 25% with each previous owner. A new textbook is sold for $85. Which function represents the resale value of the textbook after x owners?

A
f(x) = 85(1 – 0.25)x
B
f(x) = 85(1 + 0.25)x
C
f(x) = 85(0.25)x
D
f(x) = (85 – 0.25)x
36

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

A
x = –15
B
x = –3
C
x = 3
D
x = 15
37

Which relationships could have a negative correlation? Select three options.number of hours worked and free timespeed of a car and minimum stopping distancethe speed of a train and the length of time to reach the destinationadult’s head circumference and agea tadpole’s age and the length of it’s tail

A
number of hours worked and free time
B
speed of a car and minimum stopping distance
C
the speed of a train and the length of time to reach the destination
D
adult’s head circumference and age
E
a tadpole’s age and the length of it’s tail
38

Which polynomial is prime?

A
x3 + 3x2 + 2x + 6
B
x3 + 3x2 – 2x – 6
C
10x2 – 4x + 3x + 6
D
10x2 – 10x + 6x – 6
39

Solve x2 + 12x = –11 by completing the square. Which is the solution set of the equation?

A
{–11, –1}
B
{–11, 1}
C
{11, –1}
D
{11, 1}
40

Which best describes the range of the function f(x) = 2(3)x?

A
y > 0
B
y ≥ 0
C
y > 2
D
y ≥ 2

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