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
Which of the following is not an implication of large U.S. trade deficits?
U.S. productivity is falling.
O
Deficits cause the U.S. dollar to depreciate.
O
The nation must consume within its production possibilities curve.
O
All of these are implications of large trade deficits.
Answer:
All of these are implications of large trade deficits.
Deficits lead the US dollar to weaken, productivity to plummet, and the nation must spend within its production possibilities curve, all of which are consequences of big US trade deficits. Option D is correct.
What is the trade deficits?A trade deficit, also known as a negative balance of trade, occurs when a country spends more money than it earns in international commerce with the rest of the world.
U.S. productivity is falling, The nation must consume within its production possibilities curve. Deficits weaken the US dollar, reduce productivity, and force the country to spend inside its production possibilities curve, all of which are effects of large US trade deficits.
When a country purchases more than it sells, it has a trade imbalance. In other terms, a trade imbalance occurs when a country buys more than it exports.
Therefore, option D is correct.
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Which injury would most likely result in the separation of muscle and bone that were once connected?
a torn tendon
a blocked trachea
a ruptured spleen
a broken blood vessel
Answer:
A
Explanation:
:)
2+2 :) how are u doing?
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
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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Don’t have a question
Answer:
don't have an answer :):):):):)
Answer:
but thanks for the pts
......
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
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.
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
. 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.
___________________________________________________________
(Hope this helps can I pls have brainlist (crown)☺️)
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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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
3. How does racism affect income security and distribution?
Answer:
Explanation:
It affects the secuity becasue for example, if you choose someone, a white or a black person you would obiosluy choose the white right? so then the black peolple would have no job and no way to earn money. It affets the distribution because if you go in a public area and you see a black person you would not like that and act very mean.
Distribution chart:
A-claim: All S are P
E-claim: No S are P
I-claim: Some S are P
O-claim: Some S are not P
Evaluate the following categorical syllogisms:
1. "All A are B. All A are C. Therefore, all B are C."
2. "All B are C. No C are D. Therefore, no B are D."
3."Some A are not B. Some B are C. Therefore, some C are not A."
4."All framistans are veeblefetzers. Some veeblefetzers are carbostats. Some framistans are carbostats."
Answer:
Please help me i need to finish this and i can't find the answer
Question # 1
Multiple Choice
A holistic approach to health care involves _____.
treating all of the current illnesses
treating all of the current illnesses
creating special care plans
creating special care plans
looking at all the patient’s problems
looking at all the patient’s problems
focusing on the general wellness of patients
focusing on the general wellness of patients
Question # 2
Multiple Choice
Geriatric means _____.
relating to the ill
relating to the ill
pertaining to the elderly
pertaining to the elderly
long-term care
long-term care
individuals with multiple illnesses
What percentage of students were noted as having different values from their parents?
a. 1%
c. 56%
b. 15%
d. 99%
Please select the best answer from the choices provided
Α
B
C
D
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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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.
_______________ 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 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
What is the generic name for digital currency
Explanation:
bitcoin is the generic name for digital currency..
hope it helps.
stay safe healthy and happy.
The equation 3x + 2 = 29 is modeled below.