Answer:
y > 2x - 2 and x + 4y > -12
Explanation:
Given
Let the first line be A. So, the coordinates are:
(-4,-2) and (0,-3)
Let the second line be B. So the coordinates are:.
(0,-2) and (2,2)
Required
Complete the inequality
[First, we need to determine the slope (m) of A]
m = (y2 - y1)/(x2 - x1)
[Where]
(x1,y1) = (-4,-2) and (x2,y2) = (0,-3)
[The equation becomes]
m = (-3 -(-2))/(0 - (-4))
m = (-3 + 2)/(0 + 4)
m = (-1)/4)
m = -¼
[Next, we calculate the equation of A using]
y - y1 > m(x - x1)
[We used > because from the question, we understand that everything above the line is shaded.]
So, the inequality becomes.
y - (-3) > -¼(x - 0)
y + 3 > -¼(x)
y + 3 > -¼x
[Multiply through by 4]
4y + 12 > -x
[Add x to both sides]
x + 4y + 12 > x - x
x + 4y + 12 > 0
[Subtract 12 from both sides.]
x + 4y + 12 -12 >0 -12
x + 4y > -12
[We do the same operations for line B]
First, we need to determine the slope (m)
m = (y2 - y1)/(x2 - x1)
Where
(x1,y1) = (0,-2) and (x2,y2) = (2,2)
[The equation becomes]
m = (2 -(-2))/(2 - 0)
m = (2 + 2)/(2-0)
m = 4/2
m = 2
[Next, we calculate the equation of B using]
y - y1 > m(x - x1)
[We used > for the same reason as line A]
So, the inequality becomes.
y - (-2) > 2(x - 0)
y + 2 > 2(x)
y + 2 > 2x
[Subtract 2 from both sides]
y > 2x - 2
[Hence, the complete linear inequalities are:]
y > 2x - 2 and x + 4y > -12
Answer: -12
Explanation:
How to bring full marks without Learning
Answer:
Attend all your classes. It may seem like a no-brainer, but the best way to study without studying is simply by attending all your classes. Sure, you may scoff and wonder how just being present will help with your studying but here's the key — you have to be present both physically and mentally in class
Applying the formula for the sum of the first n integers? a-Evaluate 2+4+6+......+500
Answer:
[tex]S_{250} = 62750[/tex]
Explanation:
Given
[tex]Sequence: 2 + 4 + 6 + ..... + 500[/tex]
Required
Evaluate the sequence
The sequence shows an arithmetic progression and will be solved using the sum of n terms of an Arithmetic Sequence as follows:
[tex]S_n = \frac{n}{2}(a + L)[/tex]
But first, we need to determine the value of n as follows:
[tex]L = a + (n - 1)d[/tex]
Where
[tex]L = Last\ Term = 500[/tex]
[tex]a = First\ Term = 2[/tex]
[tex]d = Common\ Difference = 4 - 2 = 2[/tex]
So:
[tex]L = a + (n - 1)d[/tex]
[tex]500 = 2 + (n - 1) * 2[/tex]
Open bracket
[tex]500 = 2 + 2n - 2[/tex]
Collect Like Terms
[tex]2n = 500 + 2 - 2[/tex]
[tex]2n = 500[/tex]
Divide through by 2
[tex]n = 250[/tex]
So:
[tex]S_n = \frac{n}{2}(a + L)[/tex] becomes
[tex]S_{250} = \frac{250}{2}(2 + 500)[/tex]
[tex]S_{250} = 125(2 + 500)[/tex]
[tex]S_{250} = 125(502)[/tex]
[tex]S_{250} = 125 * 502[/tex]
[tex]S_{250} = 62750[/tex]
Hence, the sum of the sequence is 62750
Who is the chief minister of Assam, india?
Answer:
Sarbananda Sonowal
Which of the following statements most accurately describes the relationship between the
dancers?
5. Which of the following statements most accurately describes the relationship between the
dancers?
A. The dancers were all part of a large performance troupe, which traveled
between small French villages and enlisted the participation of locals.
B. The dancers had no connection whatsoever, except for their epileptic conditions
(though none of the dancers knew this when they began).
C. The dancers were all part of an experiment, which had the purpose of testing
local doctors on their diagnostic skills.
D. The dancers were all part of the same small village, and were influenced in some
fashion by one another to begin—and continue—dancing
Answer:
D-The dancers were all part of the same small village, and were influenced in some fashion by one another to begin—and continue—dancing.
Explanation:
how Richard Schiffman builds an argument to
persuade his audience that Americans need to work fewer hours."
Answer:
Throughout the passage, “Why We Should Work Less,” by Richard Schiffman, the author argues that Americans need to work fewer hours because of the impact of “grueling work schedules.” The author crafts his argument by using personal anecdotes of his friends in the workforce, presenting quantitative data, and using harsh ...
Explanation:
I HOPE THIS HELPS YOUJamal volunteers his time after school to walk the dogs at a local animal shelter. Jamal does not get paid for this time, even though he spends about two hours there every day. Although he is not making money, list one way that volunteering in this way could be beneficial to Jamal in the future. Also list one way that Jamal is benefitting his community.
Answer:
This is late, but I hope the following helps you and those looking for help on this question.
Explanation:
Jamal is benefitting himself by helping and volunteering at this local animal shelter, even without pay. If he puts this experience on his resume, he will have something that future job interviewers can see. Jamal is benefitting his community by providing a helping hand to the shelter and giving the other workers more time to deal with what they need to do while he walks the dogs.
Even though he is not being paid, Jamal gains from his assistance and volunteerism at this neighborhood animal sanctuary.
What is Community?He will have something to show prospective employers if he included this experience on his resume. By lending a helping hand to the shelter and giving the other staff members more time to take care of their duties as he walks the dogs, Jamal is helping his community.
Dan Harmon is the creator of the American television comedy Community.
The show aired 110 episodes over six seasons, with its last season running on Yahoo. Screen from March 17 to June 2, 2015. Its first five seasons aired on NBC from September 17, 2009, to April 17, 2014.
Therefore, Even though he is not being paid, Jamal gains from his assistance and volunteerism at this neighborhood animal sanctuary.
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2. In the text-dependent section, you were asked to explain one of the theories behind this
strange event. What do you think caused the dancing plague? Do you have any other
theories not mentioned in the text?
What is one of the drawbacks to globalization?
A. Developing countries are industrializing and improving
infrastructure at a rapid rate.
B. Companies charge lower prices for their goods and services to .
compete in the global economy.
O C. Producers have increased freedom to move their operations to
lower-cost regions of the world.
D. Countries and businesses must reduce wages paid to workers in
order to attract foreign investment.
Answer:
D. Countries and businesses must reduce wages paid to workers in
order to attract foreign investment.
Explanation:
Above is one of the drawbacks to globalization; it's the reason why wages for many workers in countries such as Mexico and China are very low.
The drawbacks to globalization is countries and businesses must reduce wages paid to workers in order to attract foreign investment. Thus, option D is correct.
What is Globalization?Globalization has made communication between countries easier to share information openly. This has also helped to increase the speed of transportation of products. Globalization brings nations together, breaking down cultural barriers and turning the world into a global village.
Technology not only changes the way we produce and connect, but also enables more humans to create and test new objects and ideas, reducing the costs and risks of innovation and product development, even in developing countries.
Globalization has positive effects such as increase in national income, access to global capital, emergence of new business opportunities, increase in loans and investments, transfer of technology, development of energy and communication infrastructures. Improvement of labor quality and working conditions.
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In the context of this informational text, why do people follow the crowd? Do people behave
differently in crowds? Do you think the dancing plague was caused just from people doing
what others were doing? Cite evidence from this text, your own experience, and other
literature, art, or history in your answer.
Answer: As they are scared of showing weakness.
Explanation: The consequences of chasing the crowd include lack of rationality, collective fear, lack of concentration, problems, causes of collective fear, wrong negative decisions, and confusion.
which of these are microscopic organisms that require extremely low temperatures to survive