Chapter 2: Equations and Inequalities MAT 1103: Fundamentals of Mathematics 2.1 Equations 1) Equation Statement indicating that 2 quantities are true. Example: Solution set: 3x − 2 = 10 values of variable that satisfy equations. 2) Restricted values a. Fraction: 1 , x≠a x−a b. Radical: c. Logarithmic: x−a, x≥a log( x − a) , x > a 3) Solve Linear equation in 1 variable ax + b = 0 Example 1: Solve a. (a and b are real numbers and a ≠ 0) 2x + 3 = 0 b. 3( x +
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Roll No. Serial No. of Q. C. A. B. ≤¡ÈJ …ÂX‡Rπ› ‚¢zW : 58 ] Total No. of Questions : 58 ] [ ≤¡ÈJ ÆÂÈÈåX∆ …ÂÏ¡π› ‚¢zW : 40 [ Total No. of Printed Pages : 40 81-E Code No. : 81-E ‚¢xË∆ ‚¢zW : ê·ÂŒÈ : πÂä∆ Subject : MATHEMATICS (ߢÇYË·˜Ô ü˘Ê·Ê¢∆¬ / English Version ) [ Date : 08 04. 2013 [ Time : 9-30 A.M. to 12-45 P.M. [ Max. Marks : 100 å»Ê¢∑ : 08. 04. 2013 ] ‚ÂÆÂÈŒÈ : üúπB 9-30 ࢫ ÆÂÈ«˘ÊW„ÂR 12-45 ¬ÂÕ¬π ] …¬ÂÆÂ⁄ÕÂå˘ •¢∑π›ÂÈ : 100 ] FOR OFFICE
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solve my quadratic equation. First the problem already gives me an equation p=-25x^2+300x I will plug the given numbers of this equation into my formula x=-b/(2a) letting a=-25 and b=300. P=-25x^2+300x original equation X=-b/(2a) the formula I will use plugging in a=-25 and b=300 X=-300/(2)(-25) first I will foil out the right side X=-300/-50 then divide X=6 final six is the number of clerks that will maximize profit I will then plug 6 into my original equation of p=-25x+300x
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at different points on the x axis. A quadratic is an equation constructed from information collected from a graph; this equation can also be used to produce a graph. Quadratics can be used to solve the problem dealt in this investigation as the Sydney Harbour Bridge is identified as a parabola shape. Only basic information is given about the bridge and the answers can be established by solving the additional questions. The quadratic equation will be tested from the graph to prove the accuracy of
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f(x) = 20000(1/2)x Value in 3 years = f(3) = 20000(1/2)3 = $2500 The max and min occur when the derivative is zero. Let's take the derivative: -2 * X + 3 = 0 -2 * X = -3 X = 3/2 = 1.5 the top is at 1.5 meters. Substitute x into the equation: f(x) = -x^2 + 3x + 6. f(1.5) = - 1.5^2 + 3 * 1.5 + 6 = - 2.25 + 4.5 + 6 = 8.25 meters x=y^2 x = 225, y = -15 x = 196, y =
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The value for the order in hydrochloric acid was derived to be an average of 0.0664, the accepted value for the reaction was 2nd order. The calculated percent error was found to be 66.8% using the percent error equation shown in the appendix. The average order for the magnesium ribbon was expected to be 1st order, it was found to be 0.738. The percent error was calculated to be 26.8% for the order of magnesium in the reaction. The derivation of rate law using
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product FORMING LINEAR EQUATIONS I. Standard form of Linear equation Ax + By = C where A,B, and C are constants (A & B not both 0) ===> is a straight line It is a first-degree equation – each variable in the equation is raised to the first power. e.g.: 2x + 5y = -5 2s – 4t = -1/2 FORMING LINEAR EQUATIONS II. Slope-Intercept form of Linear equation y = mx + b Example: y = 2x + 1 y = -3x + 2 FORMING LINEAR EQUATIONS III. Point-Slope form of Linear equation y – y1 = m (x – x1)
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Kristen Cookie Company Concept: * Cookies will be supplied fresh * Make to order Production Process S.No. | Steps | Time taken (minutes) | Responsible | 1 | Take on order through e-mail | 1 | Roommate | 2 | Adding ingredients & mixing (max. 3 dozen) | 6 | You | 3 | Spooning the cookies onto the tray (max. 1 dozen) | 2 | You | 4 | Bake in oven (max. 1 dozen) | 10 | Roommate | 5 | Cool the cookies | 5 | Roommate | 6 | Packing the cookies | 2 | Roommate | 7 | Delivery &
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Abstract: The purpose of this lab will be to investigate air resistance and determine the exponent for a falling coffee filter. Therefore, we measured the mass of the coffee filters to determine their weight, so that we will be able to use the values to determine the amount of air resistance encountered by the coffee filters. The results of the trials are shown in the table analysis that will be attached. There will also be graphs attached that will correspond to the data collected. Introduction:
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properties corresponding to the idea of absolute rest. They suggest rather that, as has already been shown to the first order of small quantities, the same laws of electrodynamics and optics will be valid for all frames of reference for which the equations of mechanics hold good.1 We will raise this conjecture (the purport of which will hereafter be called the “Principle of Relativity”) to the status of a postulate, and also
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