Find the domain and range of f(x)=x/x^2-9

Answers

Answer 1

Answer:

[tex]Dom(f)=(-\infty, -3 )\cup (-3, 3 )\cup (3,-\infty )[/tex]

[tex]Ran(f)=\matyhbb{R}[/tex]

Step-by-step explanation:

[tex]f(x)=\dfrac{x}{x^2-9}[/tex]

Once the denominator can't be zero, [tex]x\neq 3[/tex] and [tex]x\neq -3[/tex]

[tex]Dom(f)=(-\infty, -3 )\cup (-3, 3 )\cup (3,-\infty )[/tex]

The range from the graph is all Real numbers


Related Questions

Justify each step.
3•(10•12)=3•(12•10)
=(3•12)•10
=36•10
=360

Answers

Answer:

3•(10•12)=3•(12•10) = 360 = True

Step-by-step explanation:

left-hand side Simplify the following:

3×10×12

10×12 = 120:

3×120

3×120 = 360:

Answer: 360

______________________

Right-hand side:

Simplify the following:

3×12×10

Hint: | Multiply 12 and 10 together.

12×10 = 120:

3×120

Hint: | Multiply 3 and 120 together.

3×120 = 360:

Answer: 360

The scale on a map is 2 cm = 15 miles. Dave measures the distance to the next town at 7 cm. how may miles away is the next town?

Answers

Answer:

15x3.5 = 52.5

Step-by-step explanation:

Answer:

52.5

Step-by-step explanation:

Multiplication method

Jennifer and Jacob took 3h5min to decorate the Christmas tree.they took 1h55min longer to decorate the Christmas tree than to wrap the present.what is the total time they took to decorate the Christmas tree and wrap the present?

Answers

Answer:

5 hours

Step-by-step explanation:

3h5min+1h55min=5hours

Answer:

3+1=4

55+5=60

60 minutes make an hour

=5

Step-by-step explanation:

Help with this plz plz ASAP

Answers

Answer:
The answer is B

-8x-10 y= 24
6.0 + 5y = 2

Answers

(-16)-10y=24

-10y=24+16

this steps has been cropped in the pic

so try to understand

hope you like the answer

please mark as brainlist

Select the correct answer.

Which Triangles in the diagram are congruent?

Answers

Answer:

D. its all hope this helps :)

Step-by-step explanation:

Answer:

triangles 1 and 3 I'd say

The assets​ (in billions of​ dollars) of the four wealthiest people in a particular country are 47, 30, 28, 18. Assume that samples of size n=2 are randomly selected with replacement from this population of four values. a. After identifying the 16 different possible samples and finding the mean of each​ sample, construct a table representing the sampling distribution of the sample mean. In the​ table, values of the sample mean that are the same have been combined.

Answers

Step-by-step explanation:

The 16 possible permutations and their means are:

47, 47: μ = 47

47, 30: μ = 38.5

47, 28: μ = 37.5

47, 18: μ = 32.5

30, 47: μ = 38.5

30, 30: μ = 30

30, 28: μ = 29

30, 18: μ = 24

28, 47: μ = 37.5

28, 30: μ = 29

28, 28: μ = 28

28, 18: μ = 23

18, 47: μ = 32.5

18, 30: μ = 24

18, 28: μ = 23

18, 18: μ = 18

So the frequency distribution of the sample means is:

[tex]\left[\begin{array}{cc}Mean&Frequency\\18&1\\23&2\\24&2\\28&1\\29&2\\30&1\\32.5&2\\37.5&2\\38.5&2\\47&1\end{array}\right][/tex]

The mean of a dataset is the average value of the dataset.

The dataset is given as:

47, 30, 28 and 18

From the above dataset, we can see that the data elements are 4

The sample size is given as:

n = 2

So, the number of different samples is:

[tex]Samples = 4^2[/tex]

[tex]Samples = 16[/tex]

The 16 samples are: {(47,47), (47,30), (47,28), (47,18),(30,47), (30,30), (30,28), (30,18),(28,47), (28,30), (28,28), (28,18),(18,47), (18,30), (18,28), (18,18)}

The mean values of the above samples are: {47, 38.5, 37.5 , 32.5 , 38.5 , 30 , 29 , 24 , 37.5 , 29 , 28 , 23 , 32.5 , 24 , 23 , 18}

Rearrange in ascending order

18, 23, 23, 24, 24, 28, 29,29, 30, 32.5, 32.5, 37.5, 37.5, 38.5, 38.5, 47

So, the table of the sample means is:

Mean             Frequency

18                       1

23                      2

24                      2

28                      1

29                      2

30                      1

32.5                   2

37.5                   2

38.5                   2

47                       1

Total                 16

Read more about sample mean at:

https://brainly.com/question/14532771

The exam in a course consists of 25 true/false questions, each worth two points, 35 multiple-choice questions, each worth one point, and 5 fill-in-the-blank questions, each worth three points. The probability that a student answers a true/false question correctly is 0.8, the probability that they answer a multiple-choice question correctly is 0.75, and the probability that they answer a fill-in-the-blank question correctly is 0.65. What is the expected score on the exam? Now consider the case where an incorrect answer on a true/false question results in a penalty of −1 point. 2 What is the resulting expected score?

Answers

Answer:

Expected Score (No Negative Marking) = 135 points

Expected Score (with penalty) = 130 points

Step-by-step explanation:

First we find no. of true false answered correctly:

True/False Correct = (Total No. of True/False)(Probability to correctly answer true/false)

True/False Correct = (25)(0.8)

True/False Correct = 20

Now, for points scored from true/false:

True/False Score = (True/False Correct)(Points for 1 True/False)

True/False Score = (20)(2)

True/False Score = 40 points

Now, we find no. of mcqs answered correctly:

MCQs Correct = (Total No. of MCQs)(Probability to correctly answer MCQs)

MCQs Correct = (35)(0.75)

MCQs Correct = 26.25 = 26

Now, for points scored from MCQs:

MCQ Score = (MCQs Correct)(Points for 1 MCQ)

MCQ Score = (26)(1)

MCQ Score = 26 points

Now, we find no. of fill in the blanks answered correctly:

Fill in the blanks Correct = (Total No. of Fill in the blanks)(Probability to correctly answer Fill in the blanks)

Fill in the blanks Correct = (35)(0.65)

True/False Correct = 22.75 = 23

Now, for points scored from true/false:

Fill in the blanks Score = (Fill in the blanks Correct)(Points for 1 Fill in the blanks)

Fill in the blanks Score = (23)(3)

Fill in the blanks Score = 69 points

So, the expected total score will be:

Expected Score = 40 points + 26 points + 69 points

Expected Score = 135 points

IN CASE OF PENALTY:

We know that:

Incorrect True/Flase = Total True/False - Correct True/False = 25 - 20 = 5

Therefore,

Total Penalty = (Incorrect True/False)(Penalty on one)

Total Penalty = (5)(- 1 points)

Total Penalty = - 5 points

Now, expected score will be;

Expected Score (with penalty) = 135 points - 5 points

Expected Score (with penalty) = 130 points

What is the value of x in the equation 8x-5(x-1)=20
1. 25/3
2. 21/4
3. 5
4. 7

Answers

Answer : x = 5
So pick “(3)”

Solve for b.
ab +c=d

Answers

Answer:

[tex]ab + c = d \\ ab = d - c \\ b = \frac{d - c}{a} [/tex]

Does the equation y = x/2 represent a proportional relationship

Answers

Answer:yes

Step-by-step explanation:Y=x/2 because it goes through the origin

5,5,3 Is this a triangle? Explain.
8,8,8,Is this a triangle? Explain.
7,8,15 Is this a triangle? Explain.
5,6,10 Is this a triangle? Explain.


No clown answers or you'll get reported please help me I have until 3:00 am desperate please solve

Answers

Answer:

None of these points form a right triangle.

Step-by-step explanation:

IF YOU'RE TRYING TO FIND IF THE POINTS FORM A RIGHT TRIANGLE, THIS SHOULD WORK.

5,5,3 Explantation: To first start things off, we know our hypotenuse is the longest side of the right triangle. Using this information, we know that 5*2( 5 squared) is 25 and that 3 squared is 9. Now we add these two points and we get 34. (Don't forget to square the other side.) Now we have 34=25 which is not true sooo we know the points given do not form a RIGHT triangle.

The same goes with the other points. Once you solve them, neither of them form a right triangle. (Don't forget that we use a*2 + b*2=c*2) (The c should be the biggest point given!)

Hope this helps, if you have any questions please feel free to ask! :)

PLZZ HELP Will give brainlist plz help its for my 9 week exam

Which statement BEST describes a situation in which opposite quantities combine to make zero?


A. Shawna made 8 cups of soup and divided the soup into 8 containers.

B. Marcos missed 4 questions on a test in which each question was worth 4 points.

C. Peter scored 2 goals in the first period of a soccer game and 2 goals in the second period.

D. Melanie deposited $10 in her savings account and later withdrew $10 from the account.

Answers

Step-by-step explanation:

i think the correct answer is d because one you combine what she had with what she withdrawed she will have $0 left

Solve for x
5x – 2(x+1)= 1/4
Enter your answer as a fraction in simplest form in the box.
X =
Basic

Answers

Answer:

x = 3/4

Step-by-step explanation:

Step 1: Write equation

5x - 2(x + 1) = 1/4

Step 2: Solve for x

Distribute -2: 5x - 2x - 2 = 1/4Combine like terms: 3x - 2 = 1/4Add 2 to both sides: 3x = 9/4Divide both sides by 3: x = 3/4

Step 3: Check

Plug in x to verify it's a solution.

5(3/4) - 2(3/4 + 1) = 1/4

15/4 - 2(7/4) = 1/4

15/4 - 14/4 = 1/4

1/4 = 1/4

are two squares with the same side lengths scaled copies of one another explain your reasoning

Answers

Answer:

no

Step-by-step explanation:

if they have the same side lengths, then neither of the squares were scaled up nor down. they're the same size, so they're just copies of each other

Convert a density of 9.45 g/L to its equivalent in g/mL

Answers

Answer:

the answer is 0.00945

Answer:

0.00945g/mL

Step-by-step explanation:

Divide the mass / volume value by 1000

In lisa class ,24of students are tall and 12 are short. In pauls class 15 studens are tall and 20 students are short. Which class has a higher ratio of tall to short students.

Answers

Answer:

Lisa's class because she has 24:12 and paul has 15:20

Find the exact length of the third side.

Answers

Answer:

5

Step-by-step explanation:

The answer is 5 I just used google.

In five towns in the state of Idaho, a new recycling policy started. A sample of 5,000 homes found that 0.56 put out a
recycling bin each week. Using a 95% confidence level, what is the estimate of the population proportion that recycles?
between 55.65% and 56,69%
between 54.97% and 57.03%
between 54.65% and 56.35%
between 55.31% and 56.35%

Answers

10 miss girl thank u very much

What categories does the number -3/17 belong in ?

Answers

Answer:

Irrational

Step-by-step explanation:

-3/17= -0.1764705882 and irrational numbers does not repeat

1.Find the missing angle
2.what is the measure of angle 1
3.what is the measure of angle 2?

Answers

Angle two is 42. Triangles are 180 degrees so add angle one and 3 then subtract the sum and 180

Hi i need help with this "The cost of a theme park ticket is $25. The cost for 2 ticket is $50 what is the cost of 4 theme park tickets ​

Answers

Answer:

$100

Step-by-step explanation:

If 1=$25, 2=$50, then 4*25=100 and 50*2=100

1) Which of these situations can be represented by the opposite of 80? Select all that apply. *
a) An airplane descends 80m.
b) An elevator ascends 80m.
c) The cost of a train ticket drops $80.
d) You remove 80 songs from an iPhone.
e) Suzy's grandmother is 80 years old.

Answers

Answer:

D because if you remove the song there will be no more numberrs which is the opposite.

Situations A, C and D are the correct answers.

From the options, we need to check the situations opposite to 80.

What are integers?

An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.

Now,

Situation A: An aeroplane descends 80 m, this can be represented in integer form as -80.

Situation B: An elevator ascends 80 m, this can be represented in integer form as 80.

Situation C: The cost of a train ticket drops by $80, which can be represented in integer form as -80.

Situation D: You remove 80 songs from an iPhone, which can be represented in integer form as -80.

Situation E: Suzy's grandmother is 80 years old, which can be represented in integer form as 80.

Therefore, situations A, C and D are the correct answers.

To learn more about integers visit:

https://brainly.com/question/15276410.

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what is 2.1 divided by 12.6

Answers

Answer:

0.16666666666

Answer:

0.16666667

Step-by-step explanation:

I need help "The cost of 1 movie ticket is $7.50. The cost of 2 movie tickets is $15. Based on the constant rate of change what is the cost of 4 movie tickets?​

Answers

Answer:

4 tickets cost $30

step by step:

15+7.50=22.5 (3 tickets)

22.5+7.50=30 (4 tickets)

PLZ ANSWER FAST (40 POINTS + BRAINLIEST)


Rewrite the expression y 2/3 as a radical expression.

Answers

Answer:

[tex]\sqrt[3]{y^2}[/tex]

Step-by-step explanation:

Rewrite the expression y^2/3 as a radical expression.

if n is a positive integer that is greater than x and a is a real number or a factor, then aˣ/ⁿ = [tex]\sqrt[n]{a^x}[/tex]

use the rule to convert y²/₃ to a radical

where a =, x =, and n =.

therefore, the radical expression is [tex]\sqrt[3]{y^2}[/tex]

can you help me find the answer please​

Answers

Answer:

Its B (4.69 * 10^8)

Step-by-step explanation:

if u add them all together thats what you get I typed it into a calculator

Applying the Pythagorean Theorem

What is the value of x?

x = ?

Answers

Answer :

hyp² = base² + perp²

by putting the values we get

10² = 8² + perp²

100 = 64 + perp²

taking 64 to left side.

100 - 64 = perp²

36 = perp²

Now taking underroot on both sides we get

[tex] \sqrt{36 \: } = \sqrt{perp { }^{2} } [/tex]

therefore

6 = perp

perp is x in the above solution.

The solution is x = 6

The value of x in the triangle is x = 6

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the triangle be represented as ABC

Triangle ABC is a right triangle

Now , the measure of sides of the triangle are

The measure of side AB = x

The measure of side BC = 8

The measure of side AC = 10

Now , For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Substituting the values in the equation , we get

AC² = AB² + BC²

10² = x² + 8²

Subtracting 8² on both sides of the equation , we get

x² = 10² - 8²

x² = 100 - 64

x² = 36

Taking square roots on both sides of the equation , we get

x = 6

Therefore , the value of x is 6

Hence , the measure of side AB of the triangle is x = 6

To learn more about triangle click :

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Write an equation that represents this comparison sentence.

24 is 4 times as many as 6

Answers

Answer:

4x6=24

Since 24 is 4 times as many as six, it means 4x6 is 24.

convert decimal number 0.25 in rational numbers ​

Answers

Answer:

0.25 = 25/100

=> 1/4

Therefore 1/4 is the rational form of 0.25 ,

If my answer helped, kindly mark me as the brainliest!!

Thank You!

Answer:

not sure but 1/4

Step-by-step explanation:

0.25 = 25/100

1/4

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