week was related to quadratic functions. Quadratic equations in the real world can be utilized for foretelling the results of a race based on previous statistics. 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? p = -25x2 + 300x quadratic equation Therefore
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Name: Piyush Sonawane Student Id: 901-767-730 The Big-O-Notation in Data structures Introduction:- The Big-O-Notation is done to test the efficiency of one algorithm or many algorithms of same code and the time duration it takes to run and to execute in the given input size or it can be also be defined as how algorithm or similar algorithms are execute more quickly in its worst case scenario or outcome. Example: A programmer would want to execute his program
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Michelle and Maggie are at baseball practice. Michelle throws a ball into the air and when it drops to a height of 5ft.‚ she hits the ball. The height of the ball is modeled by the graph below where t = time in seconds and h = height of the ball from the ground. Maggie is throwing a ball into the air and catching it. The height of Maggie’s ball is modeled by the function h(t) = –16t2 + 48t + 15. Part 1. Which ball goes higher in the air‚ the ball that is hit or the ball
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communicating how to solve equations‚ which is called “method of false position.” In the ancient civilization of the Old Babylonian Period (1800-1600 B.C.) were more advanced than the Egyptians‚ they used a general procedure equivalent to solving quadratic equations‚ they mainly dealt with the equivalent of systems of two equations. The Babylonians taught algebra by using examples to solve an algebra problem and like the Egyptians they too solve their mathematic problems by verbally stating the problems
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3 1) Number Properties i) Integers Numbers‚ such as -1‚ 0‚ 1‚ 2‚ and 3‚ that have no fractional part. Integers include the counting numbers (1‚ 2‚ 3‚ …)‚ their negative counterparts (-1‚ -2‚ -3‚ …)‚ and 0. ii) Whole & Natural Numbers The terms from 0‚1‚2‚3‚….. are known as Whole numbers. Natural numbers do not include 0. iii) Factors Positive integers that divide evenly into an integer. Factors are equal to or smaller than the integer in question. 12 is a factor of 12‚ as are 1‚ 2
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Greek Mathematical Development Michael Morton Baker College Ancient knowledge of the sciences was often wrong and wholly unsatisfactory by modern standards. However not all of the knowledge of the more learned peoples of the past was false. In fact without people like Euclid or Plato we may not have been as advanced in this age as we are. Mathematics is an adventure in ideas. Within the history of mathematics‚ one finds the ideas and lives of some of the most brilliant people in the history
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Who has the power to determine what is right from wrong? Do the authorities have that power? If so‚ is there a limit to that power? In the early 17th century‚ there were many conflicts involving the authority figures and who had the power to say what is true and what is false. After the invention of the telescope‚ questions regarding natural events such as whether the earth or the sun was at the center of the universe were talked about more frequently. However‚ who got to determine whether the telescopic
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to be a line there are other applications too. For example‚ a graph that is not a linear function as the quadratic function has a shape of a parabola‚ but we still can determine its average rate of change. In order to get the average rate of change of a quadratic function we connect two points on the parabola and this line is called the secant line. Let’s remember that the slope of a quadratic function will not be constant‚ because it will be different based on whatever two
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SPECIAL PRODUCTS AND FACTORING STRATEGIES When you learn to factor quadratics‚ there are three other formulas that they usually introduce at the same time. The first is the "difference of squares" formula. Remember from your translation skills that "difference" means "subtraction". So a difference of squares is something that looks like x2 – 4. That’s because 4 = 22‚ so you really have x2 – 22‚ a difference of squares. To factor this‚ do your parentheses‚ same as usual: x2 – 4 = (x )(x
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Greeks. The ancient Greek mathematician Euclid influenced mathematics in a large way after developing the Pythagorean theorem. His theorem (written around 300 B.C.) stated that “If two straight lines cut one another‚ the vertical‚ or opposite‚ angles shall be the same” (Doc. 5). Euclid wrote this theorem to set a base rule to help find the sum of the angles of a triangle. The Pythagorean theorem is still used today in mathematics thanks to Euclid’s contribution to society. Perhaps the most famous
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