QUADRATIC FUNCTIONS (WORD PROBLEMS) 1. The area of a rectangle is 560 square inches. The length is 3 more than twice the width. Find the length and the width. Representation: Let L be the length and let W be the width. The length is 3 more than twice the width‚ so The area is 560‚ so Equation: Plug in and solve for W: Solution: Use the Quadratic Formula: Since the width can’t be negative‚ I get . The length is 2. The hypotenuse of a right triangle is 4 times the smallest side. The third
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questions algebraically. You may sketch the graph of the parabola to help you visualize the flight of the ball. 1. A water balloon is tossed into the air with an upward velocity of 25ft/s. Its height h(t) in ft after t seconds is given by the function h(t) = -16t2 + 25t + 3. a) After how many seconds will the balloon hit the ground? b) What will the height be at t = 1 second? 2. A football is passed through the air and caught at ground level for a touchdown. The height h of the ball
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When you are graphing quadratics‚ it is the same as graphing linear equations but‚ quadratics have the curvy line‚ called a parabola. When you are graphing your points‚ it is best to graph three or more points. You are really going to need to point three or more points‚ because if there are less than three you will not have a correct graph‚ graphing more than three will insure that your graph will be correct. The biggest number that they say you have to graph will most likely not be able to be graphed
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Quadratic functions are used all the time‚ every day‚ all over the world. Even though right now‚ it doesn’t seem like this kind of math is ever going to creep back into our life. That is actually far from true. These math skill are crucial to have if one ever decides to do anything in engineering‚ or something like that. Those types of jobs are now becoming more and more popular‚ because the world is always going to need educated people who know how to construct or refurbish buildings and homes.
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xm (a) Express the width (W) in terms of x. (b) Write an expression‚ in terms of x only‚ for the area of the field. (c) If the length (x) is 70 m‚ find the area. Working: Answers: (a) ………………………………………….. (b) ………………………………………….. (c) ………………………………………….. (Total 4 marks) 1 2. The diagram shows the graph of y = x2 – 2x – 8. The graph crosses the x-axis at the point A‚ and has a vertex at B. y A x O B (a) Factorize x2 – 2x – 8. (b) Write down the coordinates of each of these points (i)
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of a Quadratic Function MCR3U1 (Nature of the Roots) MINDS ON... The demand to create automotive parts is increasing. BMW developed three different methods to develop these parts. The profit function for each method is given below‚ where y is the profit and x is the quantity of parts sold in thousands: PROCESS A: P(x) = -0.5x2 + 3.2x –5.12 PROCESS B: P(x) = -0.5x2 + 4x – 5.12 PROCESS C: P(x) = -0.5x2 + 2.5x – 3.8 The graphs of the corresponding profit functions are
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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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Real World Quadratic Functions Maximum profit. A chain store manager has been told by the main office that daily profit‚ P‚ is related to the number of clerks working that day‚ x‚ according to the function P = −25x2 + 300x. What number of clerks will maximize the profit‚ and what is the maximum possible profit? In order to find the point at which profit is maximized‚ I must find the critical points of the first derivative of the equation. Coefficient of x^2 is negative‚ so
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Materials Required: FRACTIONAL CHARTS‚ REAL OBJECTS Activity Time: 2:10-3:10 PM Concepts Taught: Solves word problem involving addition in similar fraction A SAMPLE LESSON PLAN IN MATHEMATICS GRADE FOUR USING BLOCK MODEL APPROACH I. Objective Solves word problem involving addition in similar fraction {Learn to be generous all the time} II. Subject Matter A. Solving word problem involving addition in similar fraction B. BEC-PELC‚ Mathematics 4‚ Textbook‚ pp. 105-106 C. Textbooks‚ flashcards
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Real World Quadratic Functions Read the following instructions in order to complete this assignment: 1. Solve problem 56 on pages 666-667 of Elementary and Intermediate Algebra. 2. Write a two to three page paper that is formatted in APA style and according to the Math Writing Guide. Format your math work as shown in the example and be concise in your reasoning. In the body of your essay‚ please make sure to include: o An explanation of the basic shape and location of the graph and what
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