The Father of Algebra In the source‚ Shawn Overbay writes a biography on The Father of Algebra‚ Al-Khwarizmi. Overbay shows and explains the equations that Al-Khwarizmi invented and how they were used. In the source‚ the author states “Al-Khwarizmi wrote numerous books that played important roles in arithmetic and algebra” (Overbay). Not only was The Father of Algebra a mathematician‚ he was also an inventor‚ an Astronomer‚ and a Scholar. The visual source is a page from Al-Khwarizmi’s Kitab
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Regents Practice Test 1 Integrated Algebra Part I: Multiple Choice 1. Expressed in simplest form‚ [1] 8a2 [2] 3a2 12a 3c is equivalent to: 4ac [3] 3a3 [4] 3a3c 6. The accompanying graph shows the high temperatures in Elmira‚ New York for a 5-day period in January. 2. Which trinomial is equivalent to (3x - 2)(x + 4)? [1] 3x2 + 10x + 8 [2] 3x2 - 10x - 8 [3] 3x2 + 10x - 8 [4] 3x2 - 10x + 8 Which statement describes the data? [1] median = mode [3] mean < mode [2] median = mean [4] mean
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HISTORY OF ALGEBRA M AT H 1 WHAT IS ALGEBRA? • Denotes various kinds of mathematical ideas and techniques • more or less directly associated with formal manipulation of abstract symbols and/or with finding the solutions of an equation. HISTORICAL OBJECTIVES 1. attempts to deal with problems devoted to finding the values of one or more unknown quantities. 2. the evolution of the notion of number 3. the gradual refinement of a symbolic language THE SEARCH OF “EQUATION” • Egyptian Mathematics
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CMU Spring’14 18-760 VLSI CAD [100 pts] Homework 1 Out Wed‚ Jan 22; Due Mon‚ Feb 3 (by noon in HH1112) 1. Properties of Boolean Difference [15 pts] (i) Use Boolean algebra and the basic properties of Shannon cofactors from the notes to show that this identity is true. Again‚ f and g are functions of x1‚x2‚...xn‚ and x refers to some arbitrary variable in x1‚x2‚...xn. ∂ ( f + g) ∂g ∂f # ∂f ∂g & = f • ⊕ g• ⊕% • ( ∂x ∂x ∂x $ ∂x ∂x ’ Hints: (a) Notice that there are no “x” variables
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Inequality Equation: 12x + 15y ≤ 3000 (1). 12x+ 15(0) 15y ≤ 3000 (2). 12(0) + 15y≤ 3000 12x ≤ 3000 15y≤ 3000 12x / 12 ≤ 3000/12 15y / 15 ≤ 3000/15 12x ≤ 250 15y≤200 The problem 46 on page 240 in the text book‚ Elementary and Intermediate Algebra asks that I evaluate an inequality equation that can satisfy the Ozark Company needs. (Dugopolski‚ M. 2012 )The paragraphs ask for an inequality that can allow the company to use 3000 board feet of maple lumber. Of the 3000 board feet of lumber‚ the
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KENYA METHODIST UNIVERSITY END OF 3RD TRIMESTER 2012 (EVENING) EXAMINATIONS FACULTY:SCIENCE AND TECHNOLOGY DEPARTMENT:PURE AND APPLIED SCIENCES UNIT CODE: MATH 110 UNIT TITLE:LINEAR ALGEBRA 1 TIME:2 hours Instructions: Answer question one and any other two questions. Question One (30 marks) Find the determinant of the following matrices. -4 8 (2 marks) 0 1 1 -3 -2 (3 marks) 2 -4 -3 -3 6 +8 Find the values of x and y if:(5 marks) x + 2y 14 = 4
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Illinois Rules of Professional Conduct Rule 1.1 – Competence Provide competent representation Legal knowledge‚ skill‚ thoroughness reasonably necessary Comments Determining whether requisite knowledge and skill exists: relative complexity/specialized nature of matter‚ lawyer’s own training and experience‚ preparation and study time‚ available help Do not need special training or prior experience to handle a new problem – just study up Emergency matters – you can help to the extent reasonably
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Name/Student Number: Algebra 2 Final Exam Multiple Choice Identify the choice that best completes the statement or answers the question. Simplify the trigonometric expression. 1. a. b. c. d. Answer B In ‚ is a right angle. Find the remaining sides and angles. Round your answers to the nearest tenth. 2. a = 3‚ c = 19 a. = 9.1°‚ = 80.9°‚ b = 18.8 c. = 14.5°‚ = 75.5°‚ b = 18.8 b. = 80.9°‚ = 9.1°‚ b = 18.8 d. = 75.5°
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Accelerated Coordinate Algebra / Analytic Geometry Part A Dr. Khan‚ Ph.D.‚ Fall 2012 ekhan@marietta-city.k12.ga.us WHY ARE YOU TAKING THIS COURSE? All Georgia high school students are required to take four years of mathematics. Taking Accelerated Coordinate Algebra / Analytic Geometry Part A is comparable to taking the typical ninth grade course‚ Coordinate Algebra AND the first half of the tenth grade course‚ Analytic Geometry. The reason for acceleration of the first three courses is to
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Algebra Review 1. Evaluate the expression 1 2 17 B) − 2 1 C) 2 17 D) 2 3a + 2b when a = -3 and b = -4. 2 A) − 2. Simplify: A) B) C) D) 17 29 16 30 3+5• 6 −4 3. Simplify: A) 40 B) 18 C) 34 D) 12 Evaluate: 1 7 − 1 5 − 1 5 1 7 6 − 2 • 2 + 25 4. 3x − y if x = 2‚ y = 8‚ and z = –2. 6z − x A) B) C) D) CPT Review 4/17/01 1 5. Simplify: A) B) C) D) –2 2 11 2 11 − 2 14 − 30 2(− 4 ) 6. Use the distributive property to simplify. A) B) C) D) − 4x + 30 −
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