Quadratic Equations in Standard Form
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https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/e/quadratic_equation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
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https://www.khanacademy.org/math/algebra/quadratics/quadratic-formula/v/using-the-quadratic-formula?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
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https://www.youtube.com/watch?v=ty4Ohya4hdE
Note: All Khan Academy content is available for free at (www.khanacademy.org)
How an exchange can benefit from trading futures and how it can use margin to mitigate its risk. Created by Sal Khan.
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https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/futures-margin-mechanics?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets
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https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/futures-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets
Finance and capital markets on Khan Academy: In many commodities markets, it is very helpful for buyers or sellers to lock-in future prices. This is what both forwards and futures allow for. This tutorial explains how they work and what the difference is between the two.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
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https://www.youtube.com/watch?v=iyrOGvbSS2U
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Sal derives the formula F=ILB to determine the force on a current carrying wire. Created by Sal Khan.
Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-field-current-carrying-wire/v/magnetism-6-magnetic-field-due-to-current?utm_source=YT&utm_medium=Desc&utm_campaign=physics
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Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
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https://www.youtube.com/watch?v=jQ2nD8ZGeEw
73-76, pg. 284. Created by Sal Khan.
Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-17?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT
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GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005)
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
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https://www.youtube.com/watch?v=3ia-sGkAVf8
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/linear-nonlinear-functions-tut/e/interpreting-graphs-of-linear-and-nonlinear-functions?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade
Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-overview/v/trolls-tolls-and-systems-of-equations?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade
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8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.)
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
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https://www.youtube.com/watch?v=YyjpeoxdUXc
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Part 1a of the 2008 BC free response. Created by Sal Khan.
Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2008/v/ap-calculus-bc-exams-2008-1-b-c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC
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AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
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https://www.youtube.com/watch?v=upO6Mh862PI
Sal solves a very complicated geometrical trig problem that appeared as problem 11 in the 2003 AIME II exam. Created by Sal Khan.
Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-12?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory
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About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
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https://www.youtube.com/watch?v=smtrrefmC40
Note: All Khan Academy content is available for free at (www.khanacademy.org)
More on shifting aggregate planned expenditures. Connecting to the multiplier
Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic/is-lm-model-tutorial/v/investment-and-real-interest-rates?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics
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Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
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https://www.youtube.com/watch?v=aSY8XPGChAU
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/algebra/exponent-equations/alg-integer-exponents/e/properties-of-integer-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/negative-and-positive-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
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https://www.khanacademy.org/math/algebra/exponent-equations/alg-integer-exponents/v/negative-bases-and-exponents-classification-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios.
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https://www.youtube.com/watch?v=_DKe8gHlnEQ
Note: All Khan Academy content is available for free at (www.khanacademy.org)