Math Checkup Unit 1 Lesson 3 Essay Example

Math Checkup Unit 1 Lesson 3 Essay Linear Functions Answer the following questions using what youve learned from this lesson. Write your responses in the space provided, and turn the assignment in to your instructor. 1. What is the slope of the line in the graph below? Show your work. Answer: To find out the slope, you must first take two separate points on the graph, such as (-5,-1) and (0,1). Then, it’s a simple matter to use the equation [pic] to find the slope: [pic]= [pic] 2. What is the slope of the line represented by the table of values below? How do you know? |x |y | |-2 |3 | -1 |4. 5 | |0 |6 | |1 |7. 5 | |2 |9 | Answer: By taking two different (x,y) values from the table and using the [pic] formula, we can easily find the slope. For example, let’s use (-2,3) and (0,6): [pic]= [pic] 3. Which of the following graphs could be the graph of y = 4x 5? Circle the letter of your answer(s) and explain your choice(s). a. b. c. d. 4. Write the equation of the line that passes through the points (3,7) and (-1,2) in: The slope is [pic]=[pic]=[pic] a. Point-slope form -2=[pic](x+1) b. Slope-intercept form y=[pic]x+[pic] 5. What is the slope of a line that is perpendicular to [pic]? Show your work. Answer: A line perpendicular to y=[pic]x would have a slope that’s the reciprocal of the slope to y=[pic]x. We will write a custom essay sample on Math Checkup Unit 1 Lesson 3 specifically for you for only $16.38 $13.9/page Order now We will write a custom essay sample on Math Checkup Unit 1 Lesson 3 specifically for you FOR ONLY $16.38 $13.9/page Hire Writer We will write a custom essay sample on Math Checkup Unit 1 Lesson 3 specifically for you FOR ONLY $16.38 $13.9/page Hire Writer So the answer is [pic]. 6. Write the equation of a line passing through (0,6) and parallel to the line [pic]. Answer: y=[pic]x+6 7. Which of the following tables of values could have been generated by a linear function? How do you know? a. |x |y | |-2 | -3 | |-1 |-5 | 0 |-7 | |1 |-9 | |2 |-11 | b. |x |y | |-2 |1 | |-1 |3 | |0 |6 | |1 |10 | |2 |15 | c. |x |y | |-2 |1 | |-1 |1 | |0 |1 | |1 |1 | |2 |1 | Answer:Table A is a linear function, since it has an even distribution in both its x and y values. Table B is NOT a linear function, since it doesn’t have an even distribution in its y values. Table C is a linear function, since it has an even distribution in both its x and y values. 8. For each table in #7 that could have been generated by a linear function, calculate the slope of the line produced by that function. Answer: The rise over run formula [pic] shows the slope of a function table. Table A has a slope of [pic]= [pic]= -2. Table C has a slope of [pic]= [pic]= 0. 9. The cost of hosting a dinner in a particular restaurant is given by y = 18. x + 250, where x is the number of people at the dinner and y is dollars. What is the slope of this function? What does it mean in the context of the problem? Answer: The slope is 18. 5. It means that each person that attends costs $18. 50. 10. The cost of hosting a dinner in a particular restaurant is given by y = 18. 5x + 250, where x is the number of people at the dinner and y is dollars. What is the y-intercept of this function? What does it mean in the context of the problem? Answer: The y-intercept is 250. This means that you must pay $250 BEFORE you pay for each guest’s meal. 11.Write the equation of the line that is parallel to the x-axis and goes through the point (1,4). Answer: y=4 12. Does the point (2,6) lie on the line that connects (1,4) and (0,3)? Explain. Answer: The equation for the slope of (1,4) and (0,3) is y=x+3. Just plug (2,6) into the equation: 6=2+3? No. 6=/=2+3 So, no. (2,6) does not lie in the line that connects (1,4) and (0,3). 13. Which of the following pairs of lines are perpendicular? How do you know? Perpendicular? a. [pic] and [pic]No. Their slopes are NOT negative reciprocals. b. [pic]and [pic]Yes. Their slopes are negative reciprocals. c. [pic]and [pic]No.Their slopes are NOT negative reciprocals. 14. Jeremy uses the linear function G = 12h + 50 to represent the grade, G (in points out of 100), that he can earn on an exam as a function of h, the number of hours he spends studying for the exam. a. Identify the slope and y-intercept of Jeremys function and explain what they mean in the context of the problem. The slope is 12 and the y-intercept is 50. This means that Jeremy’s score, if he didn’t study, would be 50. However, for every hour he studies, his score will go up 12 points. b. If Jeremy spends 3 hours studying for the exam, what grade does he expect to earn?Show your work. G = 12(3) + 50 = 36 + 50 = 86 Jeremy can expect to earn 86 points on the test if he studies for 3 hours. c. How many hours should Jeremy study if he wants to earn a perfect score on the exam? Show your work. 100 = 12h + 50 50 = 12h h = 4 hours, 10 minutes. 15. Suppose that demand, D, for a particular product is given by the function D = 100 2p, where p is the price in dollars of the product and D is the number of products that can be sold at that price. a. What does the slope of this function mean in the context of the problem? The slope shows that for each dollar the price increases, two less items will be sold. b.What price should be set in order to sell 75 items? Show your work. 75 = 100 2p 2p = 25 p = $12. 50 The price should be set as $12. 50 to sell 75 items. 16. Temperature may be given in degrees Celsius or in degrees Fahrenheit. The freezing point of water is 32(F or 0(C. The boiling point of water is 212(F or 100(C. a. Write the equation of a line that shows the relationship between degrees Fahrenheit and degrees Celsius. C=[pic](F-32) b. What is the temperature in Fahrenheit when it is 17oC? 62. 6 Fahrenheit c. What is the temperature in Celsius when it is 79oF? 26. 1 Celsius 17. Write at least three different expressions that mean slope. Answer: Slope=[pic]=[pic]=[pic] 18. In order to write the equation of a line, what two pieces of information do you need? (Hint: there may be more than one answer to this question. ) Answer: You must know both the slope and y-intercept to write the equation of a line. 19. The cost of manufacturing soccer balls is given by C = 24,000 + 7x, where x is the number of soccer balls produced. a. What is the slope of this equation and what does it represent in the context of the problem? The slope is 7, and that means each soccer ball costs $7. b. What is the y-intercept of this equation and what does it represent in the context of the problem?The y-intercept is 24,000, and it means that you have to pay $24,000 BEFORE making any soccer balls. c. If a manufacturer wanted to spend less than $30,000 to produce soccer balls, what is the maximum number of balls that can be produced? Show your work. 30000=24000+7x 6000=7x 857. 14=x The maximum number of soccer balls that can be made without spending above $30000 is 857. 20. Write the equation of a line that is parallel to the line connecting (2,5) and (-1,-4). Answer: y=3x+5 This is the only line with a negative slope and a negative intercept.

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So You Want to Study Abroad (6 Things to Consider)

So You Want to Study Abroad (6 Things to Consider) So You Want to Study Abroad (6 Things to Consider) More and more people choose to study abroad these days. And why not? You get to travel, meet new people, learn about a different culture and earn a college degree at the same time! But studying abroad requires a bit of preparation, so make sure you’ve considered the following factors†¦ 1. Length of Placement Different placements are available depending on how long you want to spend studying abroad. This ranges from a few weeks or a single semester, to full degree programs for those who want to really throw themselves into an overseas experience! 2. Where to Go This is the big one! Where should you study? Some of the most common places for U.S. students to study are in Europe, but it’s possible to study almost anywhere in the world, with other popular destinations including Canada, Mexico, Japan, China and Australia. As well as your personal interest in wherever you decide to study, practical factors to consider include your familiarity with the language (both of the country and the language of instruction), the lifestyle and culture of the place where you’ll be studying, and the tuition and living costs involved. If you really cant decide, throw a dart at a world map and see where it sticks. [Image: Mason Vanks Maps/wikimedia] 3. The Program Once you know where you want to study and the length of placement you’d prefer, it’s time to start looking at different programs. If you’re simply studying abroad for part of your degree, your best option will usually be to apply for a program run by your college. If you want to study abroad for your entire degree, you’ll have to research your chosen destination and apply as an international student. 4. Funding If you have the money to pay for your studies already, you can skip this one. But many of us with dreams of studying abroad would appreciate a little financial help, so it’s worth researching whether funding is available. 5. Entry Requirements and Qualifications The application process for studying abroad differs from institution to institution, so make sure you check carefully and understand the requirements. This will include having the academic qualifications necessary to study your chosen course, as well as providing a resume, a letter of recommendation and possibly proof that you can speak the language of instruction. Some colleges and universities also set admissions tests. The most important thing is starting the application early enough, as that will give you enough time to organize everything before you’re due to begin your studies! 6. Travel Arrangements The final step, once you’ve been accepted on a course, is to organize the travel. And there’s lots to do before booking your flights, including sorting out a visa, making sure you have a valid passport and working out your living arrangements for once you arrive. As with the entry requirements, the key here is knowing what you need to do before travelling to the country where you’ll be studying, as well as leaving plenty of time to make the arrangements. And then its just a case of Bon voyage!

International human rights Essay Example | Topics and Well Written Essays - 3000 words

International human rights - Essay Example Consultation with employees is with their representatives and not individual employees. The definition and role of the representative body will depend on national legislation and workplace practices1. Collective bargaining is to be employed at the workplace, in order to resolve disputes between employers and employees. Various policies relating to workplace have been implemented by the statute, and the employer can include certain policies at his discretion. This directive was implemented by the Information and Consultation Regulations, whose precedent was the European Works Council Directive of 19942. The new directive will require the UK to provide a universal right to its employees in various establishments and undertakings. Integration of the new directive into the national legislation of the UK will require the government to enact a universal statutory framework for employees. â€Å"Transposition of the EU information and consultation Directive means that the UK now has, for the first time, a general statutory framework giving employees the right to insist on being informed and consulted by their employers on a range of key business, employment and restructuring issues3.†The existing legislative strategy of the government is providing greater flexibility to employers while responding to the EU Regulations. Employers can initiate negotiations on agreements that are specifically designed for organizations4. â€Å"Since the mid 1970’s – employers in the UK have faced legal obligations, emanating mainly from EU Directives, to inform and consult with employees on specific issues, such as redundancies and business transfers5.† They are under a legal duty to inform and consult with their employees, in respect of certain policy matters, such as redundancies and business transfers. In the year 1994, the ECJ ruled that employers were under an obligation to consult and

The Impact of the World Trade Organisation (WTO) on the Sustainability Essay

The Impact of the World Trade Organisation (WTO) on the Sustainability of Competitiveness of the Petrochemical Industry in Saudi Arabia - Essay Example o establish the rules to harmonize the rule associate with the chemical industry in Saudi Arabia (Al-Alamy, 2003; Zuhd, 2005l; Al Zuhd, 2005; Al-Sadoun, 2008). According to the GATT says Yu, this â€Å"Harmonize System would ensure greater ability for countries to monitor and protect the values of tariff concession† (Yu, 2008, p. 8). It ensures that there is only One General Rules to be applied to all Members but these rules also cover the specific commitments made by all members. For example, in the part one of the agreement concession called the Most Favored Nation Tariffs, there is a clause known as â€Å"bonded tariff† or the maximum tariff the members should levy. If the tariff levied is higher than the maximum tariff stated, the country has to compensate other parties for the excess amount, but it is based on line-by-line according to national nomenclatures of the time when concession took place. How the tariff is calculated? It is based on the description of the product base rate duty before any tariff, rate of bonded tariff, implementation period, initial negotiation, and other duties and charges (Robinson, 2004; Al-S adoun, 2008). In his paper to the World Bank, Saudi Arabia and WTO in the light of Mena Experience, (http://worldbank.org/idf/ndf3/papers/global/Al-Sahlawi.pdf.) Professor Al-Sahlawi, indicates that compare to the growth of manufacturing industry in the global market, the growth of petrochemical industry in the Middle East and Arab Regions is considered slow. He suggests that it is important to follow Egypt and Morocco to improve petrochemical industry and make it to be more competitive than the manufacturing industry in the global market or to create petrochemical products as export merchandise. In terms of joint ventures in the petrochemical industry, Al-Salawi (ibid) claims that furthering the process of privatization eases the process of foreign direct investment such as in Egypt where the rate of foreign direct investment has increased

The story Harrison Bergeron Essay Example for Free

The story Harrison Bergeron Essay The story Harrison Bergeron was set in two different years in the future, 2081 and 2053. The basic story between all three works is everyone being equal and â€Å"handicapped†. Harrison is a young adult living with his parents and is taken away because he is too smart than the â€Å"average† person, which in the real world be considered dumb. He rebels against the government and shows up on television to show people how their live would be without being handicapped. At the end of every story he is shot and he dies. His family doesn’t realize what happens but all they know is that something sad had happen. In the first film the way the future is in the year 2081. Technology is advanced and everyone is equal and handicapped. Harrison is in jail for trying to rebel against the government. He is giving propaganda to the people so they take off their handicaps. Both of his parents are wearing bands that stop them from thinking or being smart. His father is wearing weights so he is handicapped like the rest of the people. His mother is considered average. Harrison breaks out of jail and goes to a theatre that is being televised. He has many weights and no band. He breaks his handicaps. And he starts to dance with one of the ballerinas that are there. She also takes off her handicaps. The government or people in charge try to cut the signal to all televisions. He still gets the signal with a device he had. He then start to dance to and with the girl to show the people what they can accomplish without handicaps. He is then shot by the woman in charge of the people. That event was also televised and people did not know was going on due to their band but they know something sad happen like his family. In the second film Harrison Bergeron it is set in 2053. The future is not so advanced. The government saw that people were happier in the 1980’s so they changed everything to that time. All people are handicapped and have bands. Harrison is the smartest in his class. He is too smart then takes a test that sends him the secret place where he then falls in love with a woman. He gets a job of taking care of what gets televised. He then rebels because his boss hurts the woman he loves. He shows films and music of when people were still different and not handicapped. After some hours he is caught and forced to say that everything that he had sad was a lie. During his televised interview he Is admitting to lieing about what he had showed the people he shoots himself in front of everyone. Everyone’s band is tripled to not rebel also. Again his family doesn’t know what happen. All they know is that something sad has happened. The third work is a story. The story follows the same basic story as in the films except Harrison is seven feet tall and he is better than everyone else. In all three stories Harrison is shot on t.v. and people only know that something sad has happened and not that he died. All three works follow the same story. He has a different physical appearance in all three works. He only goes to jail in the film 2081. The film 2081 is also the only work where Harrison find a girl he likes. The story and film 2081 are set in 2081.

The Controversy at No Gun Ri :: Korean War No Gun Ri Essays

The sensitive subject of whether the 7th Calvary killed innocent men, women, and children at No Gun Ri arose years after the end of the Korean War. Some sources argue that the killings were unprovoked, while others claim that the Communist enemy was mixed within the refugee lines. One source claims the killings numbered over 350 innocent people and others claim it was a mere 35. Although there is a major discrepancy in the number of civilians killed, the fact that innocent men, women, and children were murdered does not disappear. Therefore, whether the casualties were 35 or 350, the United States army engaged in a massacre of innocent Korean refugees. Therefore, the killings at No Gun Ri can not be denied, whether they casualty count is high or low. Some people can not fathom how the United States military could engage in such an action. However â€Å"Experts cite an absence of discipline and experience among the Americans, who had been badly shocked by the North Korean assault,† (Thompson, par. 7) as an explanation of why this could happen. This is not an uncommon theme when speaking of the soldier of the Korean War. Rudy Tomedi cites several examples of people who were never in the infantry being forced to become an infantryman. He uses the example of Bob Roy who states â€Å"Nine months before I’d been in the Military Police. M Company was originally an MP unit. Then one day they came around and said, ‘All right, you’re all in the infantry’† (Tomedi, 3). If this type of assignment was not uncommon during the Korean War, it is highly possible that those at No Gun Ri were just as unprepared to fight as Bob Roy was. If they were unprepared it is also quite possible that the soldiers panicked. General Ridgeway, who rose to be in command of the entire UN forces, claims that the United States’ forces were outnumbered, with low morale, and spread extremely thin. He claims â€Å"Every command post I visited game me the same sense of lost confidence and lack of spirit†¦It was not their doing that had brought them far understrength to this unfortunate country with major shortages in weaponry and insufficient clothing†¦Ã¢â‚¬  (Ridgeway, 87). With a military force in such bad shape the possibilities of it acting irrationally is very high.