f(x)= 2x^2 + 8x + 5 Vertex: In order to find the vertex of the quadratic equation‚ begin by using the proper formula - b / 2(a) to find it. In the equation there is an (a) (b) (c) which is needed for the vertex equation. First look at the equation and determine what are the values of the three variable. In this case (a)= 2‚ (b)= 8‚ (c)= 5. Now plug them in properly into the vertex equation. * Notice in the vertex equation there is a negative sign!!! DO NOT FORGET! When plugged into the equation
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Problems: 1) Find the slope of the following functions at X = 3. a. Y = 4 + 3X2 b. Y = 5X + 6X3 c. Y = 6X d. Y = (6X + 3)2 / 4X 2) If a firm’s Total Cost equation is TC = 200 + 3Q + 7Q2: a. What is the equation for the firm’s marginal cost? b. What is the firm’s marginal cost when Q =1? Q= 5? 3) At the Peoria Company‚ the relationship between profit and output is as follows: ( = -40 +
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Pythagorean Quadratic Member MAT 222 Introduction to Algebra Instructor Yvette Gonzalez-Smith August 04‚ 2013 Pythagorean Quadratic The Pythagorean Theorem is an equation that allows a person to find the length of a side of a right triangle‚ as long as the length of the other two sides is known. The theorem basically relates the lengths of three sides of any right triangle. The theorem states that the square of the hypotenuse is the sum of the squares of the legs
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Pythagorean Quadratic MAT 221: Introduction to Algebra Pythagorean Quadratic The Pythagorean Theorem was termed after Pythagoras‚ who was a well-known Greek philosopher and mathematician‚ and the Pythagorean Theorem is one of the first theorems identified in ancient civilizations. “The Pythagorean theorem says that in any right triangle the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse” (Dugopolski‚ 2012‚ p. 366 para. 8). For this reason
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Logs in the Real World How do you use logarithms in the real world? Like most things that we are taught in math‚ most people would not be able to answer this question. Though many people have no clue how to use a logarithm in the real world or have ever needed to use one‚ there are still many uses for logs that are actually quite common. Three common uses for logs in the real world are calculating compound interest‚ calculating population growth or decay‚ and carbon dating. Using logs is a key
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The Real World Problem Noise pollution is a serious problem‚ as defined is unwanted or excessive sound that can have deterious effects on human health and environmental quality‚ whilst also disrupting the balance of life. The real world problem depicted in the image in particular from Noise pollution is aircraft noise‚ which is a result of air traffic‚ for the residents of suburbs neighboring airports it imposes a great cost. It can result in stress‚ damage to hearing‚ noise insulation‚ rise
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and the Real World Chapter 1 Sociology is the systematic or scientific study of human society and social behavior‚ which includes all levels within the structure of the society‚ from large-scale institutions and mass culture to small groups and individual interactions. Howard Becker’s definition of sociology is that sociology means “doing things together." Sociologists studies how society affects the individual and how the individual affects society. Social sciences examine the social world‚ while
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Tabu Search Algorithm for the Quadratic Assignment Problem Department of Industrial Engineering Koc University‚ Istanbul‚ Turkey gkirlik@ku.edu.tr Gokhan Kirlik April 16‚ 2010 Abstract Quadratic assignment problem is one of the most known and challenging combinatorial optimization problems. In this study‚ a new tabu search algorithm is proposed to solve the quadratic assignment problem. Proposed algorithm is tested with different tabu search elements such as neighborhood size‚ size of the tabu
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Colleen Cooper Solving Quadratic Equations MAT 126 Survey of Mathematical Methods Instructor: Kussiy Alyass October 1‚‚ 2012 Solving Quadratic Equations Using correct methods to solve quadratic equations can make math an interesting task. In the paper below I will square the coefficient of the x term‚ yield composite numbers‚ move a constant term and see if prime numbers occur. I will use the text and the correct formulas to create the proper solutions of the two projects that are
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o=TeAm YYePG‚ ou=TeAm YYePG‚ email=yyepg@msn.com Reason: I attest to the accuracy and integrity of this document Date: 2005.05.11 15:13:52 +08 ’00 ’ MAXIMUM PERFORMANCE This book is dedicated to the visionary pioneers who created the world we now live in; and to those who are creating the world we will inhabit in the future. MAXIMUM PERFORMANCE A practical guide to leading and managing people at work Nick Forster Professor at The Graduate School of Management‚ University of Western
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