Which of the following rational functions is graphed below?
A. F(x)=1/-x²
B. F(x)=1/(x+1)²
c.
D. F(x)=1/x²
Answers
The following rational functions is graphed below is D . F ( x ) = 1 / x^2 .
Given :
f the following rational functions is graphed below
we know that ,
Rational functions in the form a / b
y = 1 / x^2
Table :
x -2 -1 1 2
y 1 / 4 1 1 1 / 4
on plotting the above points we get the graph which is shown in figure .
here vertical asymptote x = 0 and
Horizontal asymptote y = 0
Therefore F ( x ) = 1 / x^2 is the rational function graphed below .
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Related Questions
Harry and Sally both invest $2500 for their
school tuition in 3 years. Harry chooses to
invest his money at bank A at 2.5%/a
compounded monthly while Sally chooses
to invest her money at bank B at 2.75%/a
compounded quarterly. How much money
will Harry and Sally have in their bank
account after 3 years? Who made the best
investment? Explain your answer.
Answers
The amount Harry has in his account is $2,694.50
The amount Sally has in his account is $2,714.23.
Sally made the best investment.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
Harry:
P = $2500
T = 3 years
r = 2.5%
n = 12
A = 2500 [tex](1 + 0.208)^{36}[/tex]
A = 2500 x [tex]1.208^{36}[/tex]
A = $2,694.50
Sally:
P = $2500
T = 3 years
r = 2.75%
n = 4
A = 2500 [tex](1 + 0.69)^{12}[/tex]
A = 2500 x [tex]1.69^{12}[/tex]
A = $2,714.23
Thus,
Harry has $2,694.50 in his account.
Sally has $2,714.23 in his account.
Sally made the best investment.
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Evaluate the expression using De Moivre’s Theorem: √2+3i
Give your answer in a+bi form.
Answers
Answer:
cos(π/2)+isin(π/2)
Step-by-step explanation:
hopefully that's the answer you're looking for, haven't done problems like this in a while-
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whats the geometric mean of 6 and 28
Answers
Answer:
Geometric mean: 12.961481396816
A red and a blue die are thrown. Both dice are fair. The events A, B, and C are defined as follows: A: The sum on the two dice is even
B: The sum on the two dice is at least 10
C. The red die comes up 5
Answers
The probability of event A occurring is 1/2, the probability of event B occurring is 1/3, and the probability of event C occurring is 1/6.
in order for a sum of two dice to be even, the numbers on the two dice must add up to an even number. The possible combinations of two dice that add up to an even number are (1,3), (3,1), (2,4), (4,2), (5,5). Therefore, the probability of event A occurring is 1/2.
In order for the sum of two dice to be at least 10, the numbers on the two dice must add up to 10, 11, 12. The possible combinations of two dice that add up to 10, 11, 12 are (4,6), (6,4), (5,5), (5,6), (6,5). Therefore, the probability of event B occurring is 1/3.
In order for the red die to come up 5, the number on the other die does not matter. Therefore, the probability of event C occurring is 1/6.
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Describe the transformation of the parent
function f(x) = x³, to obtain the function
g(x) = (x − 8)³ + 4.
Answers
The transformation from the parent function is a translation by 8 units right and 4 units up
How to describe the transformation from the parent function?From the question, we have the following function that can be used in our computation:
f(x) = x³
g(x) = (x − 8)³ + 4
First, we have the transformation to be:
From f(x) = x³ to f'(x) = (x − 8)³
This means the function is translated right by 8 units
Next, we have:
From f'(x) = (x − 8)³ to g(x) = (x − 8)³ + 4
This means the function is translated up by 4 units
Hence, the transformation is 8 units right and 4 units up
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I need help with this question!!
Answers
Answer:
(b) 0.058 or 5.8%
Step-by-step explanation:
Given a normal distribution with mean 10.72 and standard deviation 0.14, you want the probability that a value is less than 10.5.
Probability calculatorA suitable probability calculator needs to know the mean, standard deviation, and set of values of interest. Here, ...
mean = 10.72
standard deviation = 0.14
P(X < 10.5)
The calculator shows it to be 0.058, or 5.8%.
The Variance Inflationary Factor (VIF) measures the: a. correlation of the X variables with the Y variable. b. correlation of the X variables with each other. c. standard deviation of the slope. d. contribution of each X variable with the Y variable after all other X variables are included in the model. e. both a and b.
Answers
The X variables have an overall correlation of 0. VIF, or Variance Inflationary Factor, measures the
How much of an inflation variance factor is there?Regression analysis's level of multicollinearity is gauged by a variance inflation factor, or VIF. When several independent variables in some kind of a model with multiple regression correlate with one another, this is known as multicollinearity. The regression findings may be significantly impacted by this.
How high of a VIF is that?Greater correlation between the variable and other variables is indicated by a higher value. With values of Ten or more being considered very high, values greater than 4 or 5 are occasionally considered to be moderate to high.
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(20x³+12x² +17x-17)÷(5x²-2x)
Answers
The division of the given polynomial is [tex]\frac{20x^3+12x^2+17x-17}{5x^2-2x}=4x+4+\frac{25x-17}{5x^2-2x}[/tex].
What is a long division of polynomials?
A long-division polynomial is an algorithm for dividing polynomials by another polynomial of the same or a lower degree. The long division of polynomials also consists of the divisor, quotient, dividend, and the remainder as in the long division method of numbers.
The given expression is (20x³ + 12x² + 17x - 17) ÷ (5x² - 2x)
[tex]=\frac{20x^3+12x^2+17x-17}{5x^2-2x}\\\\=4x+\frac{20x^2+17x-17}{5x^2-2x}\\\\=4x+4+\frac{25x-17}{5x^2-2x}\\[/tex]
Hence, the division of the given polynomial is [tex]\frac{20x^3+12x^2+17x-17}{5x^2-2x}=4x+4+\frac{25x-17}{5x^2-2x}[/tex].
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What is the midpoint overline AB with A (2, 4) and B (- 6, 8) Mid Point Formula ((x_{1} + x_{2})/2, (y_{1} + y_{2})/2)
Answers
If the midpoint of AB with A (2, 4) and B (- 6, 8) is at point (-2, 6)
How to find the midpointThe formula to determine the center point of a straight line using the coordinates of its endpoints is known as the midpoint formula in coordinate geometry.
The formula is of the form
X= (x₂ + x₁)/2
Y = (y₂ + y₁)/2
solving for the midpoint
X= (2 - 6) / 2
X = -4 / 2
X = -2
Y = (y₂ + y₁)/2
Y = (4 + 8) / 2
Y = 12 / 2
Y = 6
The midpoint is (-2, 6)
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Find Mean, Median, and Mode
What is the mean, median, and mode of the data in this set?
0.1,12.3,2.4,10.1,4.5,6.2
Answers
For the data in the given set , the mean is 7.6 , the median is 8.15 and the median is 10.1 .
In the question ,
the data in the set is given as 10.1 , 12.3 , 2.4 , 10.1 , 4.5 , 6.2 .
on arranging data set in ascending order ,
we get , 2.4 , 4.5 , 6.2 , 10.1 , 10.1 , 12.3 .
the sum is = 45.6
the mean is = sum /(number of terms)
= 45.6/6
= 7.6
the data has 6 numbers of terms
So ,the median will be (3rd term + 4th term)/2
= (6.2 + 10.1)/2
= 16.3/2
= 8.15
the term 10.1 occurs most number of time that is two times .
So , the mode is 10.1 .
Therefore , the mean is 7.6 , median is 8.15 and mode is 10.1 .
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Name: Sally Jonas, single, 1 exemption.
Pay Rate: $5.95 per hour
Hours Worked: M-8, T-7, W-8, T-9, F-8
Total Hours Worked :
Wage for Week :
FICA Tax (7.65 %) :
Federal Tax :
State Income Tax (at 3%) :
City Income Tax (1.5%) :
Total Tax :
Paycheck after Taxes :
Answers
Total hours worked: $40
Wage for Week: $238
FICA Tax (7.65%): $18.21
Federal Tax (from Table): $41.60
State Income Tax (at 3%): $7.14
City Income Tax (1.5%): $3.57
Total Tax: $70.52
Paycheck after Taxes: $167.48
2x5−x3+x2+4; reflection in the y-axis and a vertical stretch by a factor of 3, followed by a translation 1 unit down
Answers
3x2-3(y+1)+9x2+12; reflection in the y-axis, a vertical stretch by a factor of 3, and a translation 1 unit down
The reflection in the y-axis can be achieved by changing the sign of the x-terms while leaving the y-term unchanged. Afterwards, the function needs to be stretched vertically by a factor of 3. This means that all terms will be multiplied by 3. Lastly, the function requires a translation 1 unit down. This can be done by adding a -1 to the y-term. Therefore, the final equation is 3x2-3(y+1)+9x2+12 which includes the reflection in the y-axis, vertical stretch by a factor of 3, and translation 1 unit down.
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Solve:
19) m∠2 = 12x-4
Answers
For the given isosceles triangle when we solve m < 2 = 12x - 4 we get the value of x = 4.5 degrees.
It is known that two sides are equal so it is a isosceles triangle so the two angles are equal, that is
m<2 = 50
50 = 12x - 4
50 + 4 = 12x
54 = 12x
Divide by 12 on both sides
54 / 12 = 12 x / 12
x = 54 / 12
= 27 / 6
= 9 / 2
= 4.5 degrees
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Triangles U V W and X Y Z are shown. Angles V U W and Z X Y are congruent, angles U W V and X Z P are congruent, and angles U V W and Z Y X are congruent. The length of side U V is 50, the length of V W is 60, and the length of U W is 40. The length of side Z Y is 48, the length of Y X is 40, and the length of Z X is 32.
Which statement best describes triangles UVW and XYZ?
They are similar and congruent.
They are similar, but not congruent.
They are congruent, but not similar.
They are neither congruent nor similar.
Answers
The statement that best describes triangles UVW and XYZ is; They are similar, but not congruent.
How to Identify Congruent Angles?
We are given that;
Angles VUW and ZXY are congruent.
Angles UWV and XZP are congruent.
Angles UVW and ZYX are congruent.
Now, the length of side UV is 50, the length of VW is 60, and the length of UW is 40. The length of side ZY is 48, the length of YX is 40, and the length of ZX is 32.
Here the triangles are similar by the AAA similarity and the length of the first triangle is in the ratio 40:50:60 = 4:5:6 .
The side of the second triangle is also in the ratio 32:40:48 = 4:5:6 .
Therefore, the triangles UVW and XYZ are similar but not congruent.
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Answer:
B. They are similar, but not congruent
TRUE/FALSE. when we conduct time series forecasting it is safest to utilize regression analysis, because then we will not be extrapolating.
Answers
When we conduct time series forecasting it is safest to utilize regression analysis, because then we will not be extrapolating the above statement is False.
Regression analysis is a group of analytical techniques used to measure the relationships between a dependent variable and one or more independent variables. It may be used to simulate the long-term link between variables and gauge how strongly the relationships between them are related.
Models that evaluate the connection between a dependent variable and an independent variable include simple linear regression. The following equation represents the simple linear model:
Y = a + bX + ϵ
Regression analysis is the most secure method for time series forecasting since it involves extrapolation.
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the updated forecast for the amazon sales accounting for trend, seasonality and adjusted for the serial correlation using the ar(1) model is: billion dollars. if the answer is 75.2432 billion dollars just type 75.243 keep at least 3 decimal places for all parts of your calculation. record your answer with at least 3 decimal places.
Answers
As per the forecast, the updated forecast for the amazon sales accounting for trend, seasonality and adjusted for the serial correlation using the AR(1) model is 75.243.
In statistics, the term correlation defines the degree to which two variables move in coordination with one another.
Here we have Quarterly Amazon Sales (billion dollars) starting in Quarter 3 of 2013 through Quarter 2 of 2021 . And assume in Quarter 2 of 2021 the Amazon Sales were 96.6 billion dollars.
Now we have to use the output provided below to report the updated forecast for the Amazon Sales for Quarter 3 of 2021.
Here the variable time period is coded in the following way:
Start with
t=1 for Quarter 3 of 2013,
t=2 for Quarter 4 of 2013 .
Then the value of t will increase by 1 for each subsequent quarter.
Here in this example we have created indicator variables for Quarters 1, 2 and 3. Quarter 4 is the base level.
Now, by using the output here for the model accounting for trend and seasonality as well as the output for the AR(1) model report the updated forecast for Amazon Sales in Quarter 3 of 2021.
Here the subset of the output posted below: Response Revenues Bivariate Fit of Residual Revenues $2 By Lag residuals Parameter Estimates
Therefore, the Updated forecast for the Amazon Sales accounting for Trend, Seasonality and Adjusted for the Serial Correlation using the AR(1) model is 75.243
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In September 2020, the University Senate passed a resolution to make the belted kingfisher (a bird with blue, white, and orange markings) the official mascot of the University. One might assume that senators voted as such because a majority of their constituents (more than 50%) are in favor of the resolution. You conduct a random sample of 200 students and find that 94 are in favor of the resolution, 76 are opposed, and 30 do not care at all. (a) Construct a 90% confidence interval for p. (a) [5 pts] (b) Based on your sample, is it plausible within 90% confidence that a majority of students support the resolution: yes or no? Explain the reason for your choice (in one sentence). (b) [5 pts].
Answers
On solving the provided question, as Given, n = 200, x = 94, [tex]p^{'} = x/n 94/200 = 0.47[/tex] and the answer is 0.91 < p < 0.53
What is equation?A formula is a statement that the values of two expressions are equal. The formula essentially says that two things are equal. An equals sign or '=' indicates that. 8+2=12-2 is an example equation. According to the above formula, the left side of the formula is equal to the right side. So the equation is the statement "this is equal to that".
Given, n = 200, x = 94, [tex]p^{'} = x/n 94/200 = 0.47[/tex]
[tex]1-\alpha = 0.9\\\alpha =1.\\[/tex]
confidences interval for p :-
(0.47 - 1.695 X [tex]\sqrt{\frac{0.47(1 - 0.47)}{200} }[/tex] , 0.47 + 1.695 X [tex]\sqrt{\frac{0.47(1 - 0.47)}{200} }[/tex])
(0.91 , 0.53 )
0.91 < p < 0.53
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help please
One angle measures 25° and another angle measures (3d − 10)°. If the angles are complementary, what is the value of d?
d = 55
d = 35
d = 25
d = 11.7
Answers
If the angles are complementary, the value of d is C. d = 25.
What are complementary angles?Complementary angles are two angles whose measures add up to 90° . In the figure below, ∠1 and ∠2 are complementary. Two angles need not be adjacent to be complementary. When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles
In this case, it will be:
25 + 3d - 10 = 90
3d + 15 = 90
Collect like terms
3d = 90 - 15.
3d = 75.
Divide
d = 75/3
d = 25
The correct option is C.
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Please help! Confused if the answer is B or D???
Answers
Answer:
Step-by-step explanation:
its b
which ones have no solution?
Answers
Answer:b,d
Step-by-step explanation:
PLSS can you help me and answers
Answers
The lines will intersect at (1, 8) therefore this system of equations has one solution. This can be found by graphing or solving by elimination method. I attached a graph for you.
Answer # 24
False, the lines have the same slope but different y intercepts so the lines are parallel, they will never intersect and they have no solution
Help quick!! One angle measures 24°, and another angle measures (7d-4)°. If the angles are complementary what is the value of d?
d=80
d=17
d = 10
d=3
Answers
Answer:
d = 10°
Step-by-step explanation:
7d - 4 + 24 = 90
7d + 20 = 90
7d = 90 - 20
7d = 70
7/7 d = 70/7
d = 10
What’s the answer? pls hurry!
Answers
Answer:
Step-by-step explanation:
use (Y2-Y1)/(X2-X1)
(7-2)/(0-(-5))=5/5=1
y=1x+b is your equation with value b as the y intercept.
Plug in a point into this and solve for b
7=1(0)+b
7=b
final equation is y=x+7
A is the answer
et h be the set of all points of the form (s, s-1). determine whether h is a vector space. if it is not a vector space, determine which of the following properties it fails to satisfy. a: contains zero vector b: closed under vector addition c: closed under multiplication by scalars
Answers
No, h is not a vector space. It fails to satisfy property (b), closed under vector addition.
For a set to be a vector space, it must satisfy three properties: contains the zero vector, closed under vector addition and closed under multiplication by scalars.
For a set to be closed under vector addition, the sum of any two vectors in the set must also be in the set. In this case, the set h contains the points (s, s-1).
When two points are added, the result is (2s, 2s-2), which is not in the set h. Therefore, h fails to satisfy property (b) and is not a vector space.
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Solve For X, using the degrees given in the equation.
Answers
x= 101°.
Step-by-step explanation:1. Refer to the theory.Theory of triangles states that the sum of all inner angles of a triangle should equal 180°. Hence, you can make an equation that gives the missing value of "x" in this problem.
2. Form the equation.[tex]x+30+49=180[/tex]
3. Solve the equation.[tex]x=180-30-49\\ \\x=101[/tex]
4. Conclude.x= 101°.
The product of 9 and the difference of a number and 7.
Answer:
I
Submit Answer
Answers
Answer:
9x-63
Step-by-step explanation:
9*(x-7)
9x-63
Graph: y < -1
Is (-2,5) a solution? yes or no
Is ( 6,2) a solution? yes or no
Answers
Answer: Both points are not a solution.
Step-by-step explanation:
This says that the graph will be every y-value less than -1. Both 5 (in the point (-2, 5)) and 2 (in the point (6, 2)) are greater than -1, meaning they are both not a solution.
See attached for a graph with the coordinate points graphed as well. Since these points are not in the shaded region, they are not solutions.
How do I find the area between the curves of y=x+2 and y=x^{2}-2?
Answers
Refer to the attached photos. I would appreciate a rate :)
Select the number that matches the power of ten. 105 = 10-3 =
Answers
The number that matches the power of ten is given below:
• 105 = 100000
• 103 = 0.001
What are the values of the numbers given in powers of 10?
The value of numbers expressed in the power of ten is that number multiplied or divided by the given power or exponent of 10.
Writing numbers in powers of 10 is described as writing in standard form.
For a number written in powers of 10, if the power of ten is positive, the number is multiplied by 10 the number of times found in the power of 10.
However, if the power of ten is negative, the number is divided by 10 the number of times found in the power of 10.
For example:
105 = 1 * 10 * 10 * 10 * 10 * 10 * 10 = 100000
10-3 = 1 ÷ 10 ÷10 ÷ 10 = 0.001
The ultimate goal of muted group theory is to:A. Help men understand the perspective of women. B. Elect women to major leadership positions in Western democracies. C. Change linguistic systems that make it more difficult for women to be heard. D. Predict how women and men will communicate across gender lines.C. Change linguistic systems that make it more difficult for women to be heard.(The feminist dictionary is one attempt to create an alternative vocabulary.)
Answers
The question mentions muted group theory, which is a kind of Communication Theory. The answer is option C, which changes linguistic systems that make it more difficult for women to be heard.
A verbal system is a language taken as a combination of its corridor. A verbal system can also relate to a set of choices that druggies of language have in contriving rulings.
Muted group proposition is the introductory idea, articulated by anthropologists Ardener and Ardener, that in every society there are artistic groups who are traditionally muted — given lower access than members of the dominant groups to public converse and to having their individual and community enterprises heard.
Muted group proposition is the introductory idea, that in every society there are artistic groups who are traditionally muted — given lower access than members of the dominant groups to public converse and to having their individual and community enterprises heard.
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