The domain of an expression is the set of input values the expression can take
The domain of the expression is [tex]y \ne 1.5x[/tex]The domain of the simplified expression is [tex]y \ne -1.5x[/tex](a) The domain of the expression
The expression is given as:
[tex]\frac{(9x^2 + 4y^2 - 12xy)}{(4y^2 - 9x^2)}[/tex]
Set the denominator to 0, to determine the domain
[tex](4y^2 - 9x^2) = 0[/tex]
Remove brackets
[tex]4y^2 - 9x^2 = 0[/tex]
Add 9x^2 to both sides
[tex]4y^2 = 9x^2[/tex]
Divide both sides by 4
[tex]y^2 = 2.25x^2[/tex]
Take positive square roots of both sides
[tex]y = 1.5x[/tex]
Hence, the domain of the expression is [tex]y \ne 1.5x[/tex]
(b) The domain of the simplified expression
The expression is given as:
[tex]\frac{(9x^2 + 4y^2 - 12xy)}{(4y^2 - 9x^2)}[/tex]
Rewrite as:
[tex]\frac{(9x^2 + 4y^2 - 12xy)}{(4y^2 - 9x^2)} = \frac{(9x^2 - 12xy+ 4y^2 )}{((2y)^2 - (3x)^2)}[/tex]
Expand the numerator
[tex]\frac{(9x^2 + 4y^2 - 12xy)}{(4y^2 - 9x^2)} = \frac{(9x^2 - 6xy - 6xy+ 4y^2 )}{((2y)^2 - (3x)^2)}[/tex]
Factorize the numerator
[tex]\frac{(9x^2 + 4y^2 - 12xy)}{(4y^2 - 9x^2)} = \frac{3x(3x - 2y) - 2y(3x- 2y )}{((2y)^2 - (3x)^2)}[/tex]
Factor out 3x - 2y
[tex]\frac{(9x^2 + 4y^2 - 12xy)}{(4y^2 - 9x^2)} = \frac{(3x - 2y)(3x- 2y )}{((2y)^2 - (3x)^2)}[/tex]
Express the denominator as a difference of two squares
[tex]\frac{(9x^2 + 4y^2 - 12xy)}{(4y^2 - 9x^2)} = \frac{(3x - 2y)(3x- 2y )}{(2y - 3x)(2y + 3x))}[/tex]
Rewrite as:
[tex]\frac{(9x^2 + 4y^2 - 12xy)}{(4y^2 - 9x^2)} = \frac{-(2y - 3x)(3x- 2y )}{(2y - 3x)(2y + 3x))}[/tex]
Cancel out the common term
[tex]\frac{(9x^2 + 4y^2 - 12xy)}{(4y^2 - 9x^2)} = \frac{-(3x- 2y )}{(2y + 3x)}[/tex]
Set the denominator to 0, to determine the domain
[tex]2y + 3x= 0[/tex]
Subtract 3x from both sides
[tex]2y= -3x[/tex]
Divide both sides by 2
[tex]y= -1.5x[/tex]
Hence, the domain of the simplified expression is [tex]y \ne -1.5x[/tex]
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Explanation:
Domain: y does not equal 1.5x and y does not equal -1.5x
Simplifies domain: y does not equal -1.5x
how is a strong democracy sustained
I need help anyone!!!
I have a dress rehearsal tomorrow and i need a suit like outfit what do i do (in middle school)
Answer:ask your mum for pounds and by one in the store here in englind mate
Explanation: JK just want the points
Try using a dress shirt, like a button up shirt and if you have like a blazer, or a nice other jacket coat type of thing put those together with some jeans and your golden my friend. :D
What does the simile mean between a roller coaster can feel like flying
Answer:
Knowing that a simile is a comparison between two things/ideas using the words "like" or "as"--->
A roller coaster can feel like flying because similar to how you would imagine flying to feel like (almost free-falling, liberated, vulnerable, yet invigorating, etc.), a roller coaster enables you to feel the same way, you are high up in the air racing at fast speeds and looping in some way that somehow defies the laws of physics ✨ yes fun stuff
Essentially, roller coasters can feel like flying because flying and roller coasters give the same feelings of excitement and also being high up in the air, since being on the ground won't take ya anywhere.
Give three examples of cow practices or beliefs that would be considered different from popular beliefs. What is the reasoning for these beliefs/practices.
The examples of cow practices that were different from popular beliefs include:
1. Cow meat was prohibited as good for Hindus.2. Cow was a god in Hindi and was worshipped.3. Cows are treated by Hindus as part of their family.It should be noted that in Hinduism, cow wasn't eaten as food as it was considered a symbol of life and shouldn't be killed.
Verses of the Rigveda considered the cow to be a goddesses that was identified with Aditi himself. Indian families have at least a diary cow that they treat as the member of their family.
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PLEASE HELP how does assimilation and acculturation help bilingualism HELPPP
Answer:
No it doesn't
Explanation:
bilingualism comes from multiculturalism assimilation involves in turning the new culture to your own
_______________ is a byproduct of both chemical and physical weatherization.Salt
Salt
Soil
Spalls
Sinkholes
Answer:
Soil
Soil is a byproduct of both chemical and physical weatherization
Profit equals the total amount of money made minus expenses. prices. revenue. supply.
Answer:
expenses
Explanation:
The equation for profit is revenue-expenses
not prices: remember these as price tags on the bread you get at supermarkets
not revenue: revenue is the total amount of money made
not supply: completely unrelated to price
Profit equals the total amount of money made minus expenses.
What is Profit?This is the gain or profit realized from a transaction. It can be calculated by using the formula below:
Profit = Revenue - Expenses.
The profit is important as it helps business owners in the fixing of prices of goods and services so as to ensure that gain is maximized and continuous running of the company.
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Look at the series: 2, 1, (1/2), (1/4), ... What number should come next?
Answer:
1/8, 1/16, 1/32, 1/64
Explanation:
Each number is getting divided by 2
. How do you think Apple has handled the various ethical issues that it has faced in the past
Answer:
Answer below
Explanation:
I think that Apple has responded well to a majority of the ethical claims brought against it.
Apple is the most ethical company in al of Silicon Valley
I know because I have owned a privacy/security consulting company in Silicon Valley for over 40 years so I worked with all those high tech companies and I know that Apple actually is ethical, from personal experience, the other companies don't care about ethics, they only clean up their messes when they get caught or are about to get caught doing something unethical.
I think that apple has responded well to a majority of the ethical claims brought against it. For instance , it has ensured that is does not use any toxic chemicals to manufacture its products.
___________________________________________________________
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The ethical decisions are handled based on the philosophies and compliance as well. Although apple company has been hit with the lawsuits before regarding any property rights, and violations of privacy, they stayed firm on what they believe in.
What are ethical issues?An ethical issue is a circumstance in which a moral conflict arises in the workplace. Thus, it is a situation in which a moral standard is being challenged. Ethical issues in the workplace occur when a moral dilemma emerges and it must be resolved within a corporation within time limit.
Apple handles ethical issues through the introduction of a business conduct which guide for all the employees and partners to follow. It also set many goals to counter the impact of the production processes on the environment and also improve working conditions.
The ethical decision is handled based on the philosophies and compliance. Although the apple company has been hit with lawsuits before regarding property rights, and violations of the privacy, they stayed firm on what they actually believe in.
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Don’t have a question
Answer:
don't have an answer :):):):):)
Answer:
but thanks for the pts
......
Scales can represent
a. A range of information
b. A range of resources
c. Proportional measurement
d. All of the above
Please select the best answer from the choices provided
Α
B
C
D
Answer:
I would suggest c for the answer
Answer:
D
Explanation:
2+2 :) how are u doing?
when the moon appears to completely cover the sun, the moon must be at which phase?
Answer: New moon
Explanation: New moon because the moon is in-between the sun and the earth so there is no light to be reflected back to earth if there is no light in that side.
Really need help with the statistical reasoning!!!!!!
AP Statistics: Why do you believe shorter players tend to be better at free throws? Give a statistical (not physical) reason for your answer.
Answer:
In order to compensate for their lack of height and compete for a roster spot, shorter players develop a better skill set
Explanation:
Ratio word problems for 6th grades
Answer:
An amusement park sold 21 child tickets. The other 29 tickets it sold were adult tickets. What is the ratio of the number of adult tickets to the number of child tickets?
Try that one.
In the 1920s which united states action furthered the goal of international peace
Is the author of the article suggesting that the influence of department stores can no
longer be seen in society? Which selection from the article BEST supports your
answer?
A No; Over the years, women became the primary consumers for their families, and
brands started to vie for their attention and their dollars.
B Yes, In pically, though, the department stores that helped turn women into shopping
powerhes with a spending power of up to $20 trillion worldwide may be in their
waning days.
C Yes; As legacy retailers like JCPenney and Sears shutter, the days of glamorous
showcase shopping seem far away.
D No; But the freedom they helped to give women has only grown - and these days, a
woman doesn't even have to leave the house to flex her consumer power.
The answer choice from the article which BEST supports the inference that the influence of department stores can no longer be seen in society is the statement that even though the department stores although once powerful worldwide may be in their waning days.
As a result of this, we can see that from the list of available options, there is the obvious choice to show that the inference that the department stores which were once powerful and was a favorite destination for shopping could be on decline and their influence greatly reduced.
A department store is one which contains different stores in one location and contains a variety of consumer goods where people can come in and make their purchase.
Therefore, the correct answer is option B
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2 Assignment 23 Lesson 6.2 Question 2 - What are the differences between console.log and setProperty in this puzzle?
Answer: console.log prints text is the Debug console and setProperty changes the properties of elements on the screen. console.log only needs one input and setProperty needs three
Explanation:
console.log prints text is the Debug console and setProperty changes the properties of elements on the screen. console.log only needs one input and setProperty needs three
On a test where the scores are normally distributed, approximately what percentage of the scores are within two
standard deviations of the mean?
O 20%
O 33%
O 50%
O 68%
0 95%
On December 31, 2018, Country Living Sales has 10-year Bonds Payable of $89,000 and Discount on Bonds Payable of $2350. How will this be shown on the December 31, 2018 Balance Sheet?
Answer:
87,650
Explanation:
It would look like this because you subtract,
a triangle has angles that measure (x+40), (3x +20), and (10x-20) respectively. which of the following terms best describes this triangle?
Answer:
Isoceles
Explanation:
Had it on my test
The term that best describes the given triangle is known as Isosceles. Thus, the correct option for this question is C.
What do you mean by Isosceles triangle?An Isosceles triangle may be defined as a type of triangle in which two sides have the same length. With respect to the length of the sides, the angles opposite to the two sides correspond to each other and are also always equal.
According to the question,
The angles of a triangle are determined by the following concept:
x+40 + 3x+20 + 10x-20 = 180.
14x + 40 = 180.
14x = 180 - 40 = 140, x = 10.
Now, the angles are 50, 50, and 80.
Two angles are equal which means two sides are definitely equal.
Therefore, an isosceles is a term that best describes the given triangle. Thus, the correct option for this question is C.
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40 PTS!!!!!!
Tori has been a personal secretary for the Governor for the past three years. During this time, Tori has observed what he considers to be insincerity on the part of the Governor with regards to interest in social causes. It seems to Tori that the Governor is more interested in spending the federal government’s money than actually helping people. Tori reasons, "I think the public would be interested in this hypocrisy. I will contact a publisher to find out how much I might be paid for the story. They may even put me on television. This could be a big win for me!" Which philosophy best depicts Tori's reasoning:
Egoism
Act Utility
Rule Utility
Kantian Ethics
What causes weather?
1.The spin of the planet
2.Uneven heating of the earth from the sun
3.The hydrologic cycle
4.Climate change
Answer:
2. Uneven heating of the earth from the sun
Explanation:
Weather on Earth is caused by heat from the sun and movement of the air. All weather happens in the lower layer of Earth's atmosphere, which is a layer of gases surrounding Earth. The sun's heat warms the air in this layer to different temperature levels in different places.
How is a roller coaster similar to flying
_______________ is a byproduct of both chemical and physical weatherization.
1.Salt
2.Soil
3.Spalls
4.Sinkholes
Answer:
Sinkholes is the correct answer.
A byproduct of both chemical and physical weatherization is: 2. Soil.
Weathering can be defined as both the chemical and physical breakdown of a rock into smaller fragments (pieces) that are referred to as sediments.
Generally, there are two (2) main types of weathering and these are;
Physical weatheringChemical weatheringSoil formation occur mainly as a result of the process of both the chemical weathering of minerals and physical weathering of rocks, especially when in contact with living organism, air, climate, wind and water.
In conclusion, salt isn't a byproduct of weathering and sinkholes are a byproduct of erosion.
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please help im dead fr gonna cry
Answer:
Microbiology- The study of microorganisms
Taxonomy-science of classifying organisms
Genetics-science of heredity, how traits are passed from parent to offspring
Biogeography-study of how and why plants and animals live where they do
Political maps can be used to determine which country a city is located in
Please select the best answer from the choices provided
Т
F
Answer:
Answer below
Explanation:
Options:
True
False
True, because they do show cities
________________________________
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Mrs. Chavis's statistics class has 26 students in it, 14 girls and 12 boys. She uses a calculator to select two students at random to solve a problem on the board.
The probability that both students are girls is 0.28
Probability is the likelihood or chance that an event will occur
Probability = n(E)/n(S)
where:
n(E) is the number of eventsn(S) is the total sample space:If Mrs. Chavis's statistics class has 26 students in it, then n(S) = 26
Since three are 14 girls in it, hence n(E) = 14
Pr(both students are girls) = 14/26 * 13/25 (without replacement)
Pr(both students are girls) = 182/650
Pr(both students are girls) = 0.28
Hence the probability that both students are girls is 0.28
Complete question.
Mrs. Chavis's statistics class has 26 students in it, 14 girls and 12 boys. She uses a calculator to select two students at random to solve a problem on the board. What is the probability that both students are girls?
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Answer:
Hence the probability that both students are girls is 0.28
Explanation:
The probability that both students are girls is 0.28
Probability is the likelihood or chance that an event will occur
Probability = n(E)/n(S)
where:
n(E) is the number of events
n(S) is the total sample space:
If Mrs. Chavis's statistics class has 26 students in it, then n(S) = 26
Since three are 14 girls in it, hence n(E) = 14
Pr(both students are girls) = 14/26 * 13/25 (without replacement)
Pr(both students are girls) = 182/650
Pr(both students are girls) = 0.28
Hence the probability that both students are girls is 0.28
The nuclear family into which a person is born or adopted.
-family
-nuclear family
-family of orientation
-family of procreation
-extended family
-kinship
Answer:
Family
Explanation:
Family is defined as a group of people related by blood or adoption. so it doesn't matters whether born or adopted it is still a family.
Which of the following rocks is likely to exfoliate?
Shale
Slate
Igneous
All of the above
Answer:
All of them
Explanation:
They all have a good chance of breaking up after being weathered