Two Variable Inequality Essay Example for Free

Two Variable Inequality Essay This week we are learning about two-variable inequalities as they pertain to algebraic expressions. The inequality can be graphed to show the values included in and excluded from a given range of numbers. Solving for inequalities such as these is a critical skill in many trades which can save or cost a company a lot of time and money. Ozark Furniture Company can obtain at most 3000 board feet of maple lumber for making its classic and modern maple rocking chairs. A classic maple rocker requires 15 board feet of maple, and a modern rocker requires 12 board feet of maple. Write an inequality that limits the possible number of maple rockers of each type that can be made, and graph the inequality in the first quadrant. First I must assign a variable to each type of rocker Ozark Furniture makes. Let c = the number of classic rockers Let m = the number of modern rockers It takes 15 board feet of lumber for each classic rocker so I will use 15c in my equation. Likewise, I will use 12m for the 12 board feet of lumber in the modern rocker. The maximum amount of lumber Ozark can obtain is 3000 board feet. Therefore, my equation will look like this: 15c + 12m ≠¤ 3000 If I call c the independent variable (on the horizontal axis) and m the dependent variable (graphed on the vertical axis) then I can graph the equation using the intercepts. The c-intercept is determined when m = 0: 15c ≠¤ 3000 c ≠¤ 200 The c-intercept is (200,0). The m-intercept is found when c = 0: 12m ≠¤ 3000 m ≠¤ 250 The m-intercept is (0, 250). Since this inequality is â€Å"less than or equal to†, the graphed line will be solid, sloping downward from left to right within the first quadrant of the graph. The shaded section will cover the area from the line towards the origin, stopping at the respective axes. Consider the point (50,100) on my graph. It is well inside the shaded area meaning that Ozark Furniture could easily fill this order for 50 classic and 100 modern rocking chairs. 50(15) + 100(12) = 1920 board feet of lumber leaving 1080 board feet remaining. Now consider the point (150,100) on the graph. It is outside the shaded area which indicates that this order of 150 classic rockers and 100 modern rockers would require more lumber than the company can acquire. 150(15) + 100(12) = 3450 board feet of lumber which is 450 board feet more than they have. Ozark cannot fulfill this order. Consider the point (100, 125) now. This point falls directly on the line on the graph indicating that the company would have just enough lumber to fill this order with none to spare. 100(15) + 125(12) = 3000 board feet of maple. If Ozark receives a faxed order for 175 modern rockers and 125 classic rockers, they would not be able to fulfill the order. When we plot the order on the graph (125, 175) we can clearly see it is well outside the shaded area. 125(15) + 175(12) = 3975 board feet of lumber required. They would need an additional 975 board feet of lumber to complete the order. These scenarios clearly show how important it is to be able to solve an inequality with two variables.

Determinism, Objectivity, and Pessimism in The Open Boat :: Open Boat Essays

Determinism, Objectivity, and Pessimism in The Open Boat      Ã‚  Ã‚  Ã‚  Ã‚   In Stephen Crane's short story "The Open Boat", the American literary school of naturalism is used and three of the eight features are most apparent, making this work, in my opinion, a good example of the school of naturalism. These three of the eight features are determinism, objectivity, and pessimism. They show, some more than others, how Stephen Crane viewed the world and the environment around him.      Ã‚  Ã‚  Ã‚  Ã‚   Determinism is of course the most obvious of the three features. Throughout the entire story, the reader gets a sense that the fate of   the four main characters, the cook, the oiler, the correspondent, and the captain are totally pre-determined by nature and that they were not their own moral agents. "The little boat, lifted by each towering sea and splashed viciously by the crests, made progress that in the absence of seaweed was not apparent to those in her." The characters had no control over their boat, rather nature was totally in control. "She seemed just a wee thing wallowing, miraculously top up, at the mercy of the five oceans. Occasionally a great spread of water, like white flames, swarmed into her." (pg.145) There is also a sense that man is totally not important to the natural forces controlling his fate. "When it occurs to man that nature does not regard him as important, and that she feels she would not maim the universe by disposing of him, he at first wishes to throw bricks at the temple, and he hates deeply that there are no bricks and no temples." (pg156) The one character who perishes, the oiler, is of course a victim of determinism. Even as he was so close to land and no longer out in the open sea, nature still takes its role in determining his fate.      Ã‚  Ã‚  Ã‚  Ã‚   Objectivity refers to how the author describes reality as it exists, that is, not glorifying something, but rather simply stating the observation. The fact that the narrator is the correspondent in itself give an impression on how the story is going to be told in a more journalistic sense, describing actual events instead of feelings or ideas. " In the meantime the oiler and the correspondent rowed. They sat together in the same seat, and each rowed an oar.

Philosophy of Education Essay

Thomas Jefferson once said â€Å"genius is 1% inspiration and 99% perspiration.† I believe it is this 1% inspiration that we must find, as teachers, in the youth of today. That way, we can give them the motivation to unlock the 99% perspiration inside themselves. After all, without that 1% inspiration, you have no reason to perspire. Teaching requires a certain kind of patience, understanding, and willingness to perspire on its’ own. It is not an easy task to uncover that 1% inspiration within your students. It is a bit like digging for gold. You really have to want it, know why you want it, and go after it. Essentially, a teacher has to have their own â€Å"inspiration† about being a teacher to be able to find the â€Å"inspiration† in their children. My inspiration is uncovering what our students can do for the world of tomorrow when they truly believe in themselves and can think at the highest levels of Blooms (evaluation and creation). A child that knows their dominant learning style and areas of multiple intelligences can comprehend a larger amount of information. They can also embrace their individuality and become comfortable with themselves inside the classroom. They are less focused on what their peers are accomplishing, and more focused on investing in their identified talents. I speak from experience because I was identified at a young age as having a learning style that was not as common at the time (auditory). I received additional assistance as a child, but most of the time I had to uncover my own â€Å"inspiration.† Many teachers during that time were unaware of how to approach an auditory learner. Since then, I have become extremely compassionate towards students who have a willingness to learn. It is important to break down those walls of â€Å"I can’t† and transform them into â€Å"how am I going to.† There is always a way to get something accomplished.

Hiv / Aids And Young People The Problem And The Solution

HIV/AIDS and Young People: The Problem and the Solution According to the Foundation for AIDS Research, â€Å"Among the 1.1 million Americans living with HIV/AIDS, twenty-five percent of them are between the ages of 13 and 24† (The Foundation for AIDS Research [amfAR], 2015). In other words, HIV/AIDS (Human Immunodeficiency Virus/Acquired Immunodeficiency Syndrome) is very common among teenagers and young adults. People in this age group are infected with HIV every day. As a result, Healthy People 2020, a nationwide health initiative, includes goals specifically geared towards HIV/AIDS among youth. The objectives of Healthy People 2020 regarding HIV/AIDS in youth are related to some of the provisions of the Affordable Care Act (ACA). The ACA strives to solve the issue HIV/AIDS by eliminating the main causes of transmission. The primary reasons for HIV/AIDS in young people are low rates of condom use, substance use, and low rates of testing. Through the stipulations of the ACA, the goals of Healthy People 2020 concerning HIV/AIDS am ong young people will be met. The major cause of HIV/AIDS among young people is unprotected sex. Many young people are failing to use condoms during sexual activity. As an illustration, â€Å"In a 2013 survey in the United States, of the 34 percent of high school students reporting sexual intercourse in the previous 3 months, 41 percent did not use a condom† (Center for Disease Control [CDC], 2015). A large number of sexually active students in this surveyShow MoreRelatedHiv / Aids And Aids856 Words   |  4 PagesHIV/ AIDS affects many people in the world. One of the many places that have the highest HIV/ AIDS epidemic is in South Africa. South Africa has one of the highest prevalence of HIV/ AIDS in the whole world. There are 6.3 million people living with HIV/AIDS in South Africa. 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