1) Evaluate each algebraic expression‚ given that x= -1‚ y=3‚ z=2‚ a =1/2‚ b= -2/3. a) b) c) 2) Determine the degree of each of the following polynomials. a) b) c) 3) Remove the symbols of grouping and simplify the resulting expressions by combining like terms. a) (x + 3y – z) – (2y – x +3z) + (4z – 3x +2y) b) c) 3 – {2x – [1 –(x +y)] + [x – 2y]} 4) Add the algebraic expressions in each of the following groups. a) b) 5) Subtract the algebraic expressions
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Various derivations of the word "algebra‚" which is of Arabian origin‚ have been given by different writers. The first mention of the word is to be found in the title of a work by Mahommed ben Musa al-Khwarizmi (Hovarezmi)‚ who flourished about the beginning of the 9th century. The full title is ilm al-jebr wa’l-muqabala‚ which contains the ideas of restitution and comparison‚ or opposition and comparison‚ or resolution and equation‚ jebr being derived from the verb jabara‚ to reunite‚ and muqabala
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Algebra Problem Week 5 Joby Weatherwax Introduction to Algebra (MAT 221) Stacie Williams Apr 14‚ 2013 Algebra Problem Week 5 Buried treasure. Ahmed has half of a treasure map‚which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure‚ one must get to Castle Rock‚ walk x paces to the north‚ and then walk 2x + 4 paces to the east. If they share
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Algebra 2 PRACTICE Chapter 12 Test ____________________________ “…………………………..” 3/18/14 You may use a calculator for the entire test; however‚ the solutions for numbers 1 through 3 must be exact solutions—NO DECIMAL SOLUTIONS FOR THE FIRST PAGE. Do not rationalize. SHOW WORK ! I. Solve the following systems by either the substitution or the elimination (addition) method. Write your answers as ordered pairs/ordered triples.(These are worth 5 points each) 2. 6x+y-z=-22x+5y-z=2x+2y+z=5
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The History of Algebra The history of algebra has been around for several decades‚ this method of mathematics has been used during the beginning of time. The development of algebraic notation progressed through out three stages: the rhetorical stage‚ the syncopated stage‚ and the symbolic stage with which we are use to using in our daily usage of algebra. In ancient civilization math was used to help leaders to strategically form how their troops should be lined up for battle and help decide
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The invention of algebra from the ancient world has produced many opportunities for the modern world we live in today. According to the Webster’s Dictionary‚ “algebra by definition is the part of mathematics in which letters and other symbols are used to represent numbers and quantities in formulae and equations.” First and for most‚ algebra is divided into two different groups‚ the first group being “classical algebra”‚ which is solving equations and finding the unknown variable. The second group
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2014 Term II 1402 Final Exam Study Guide Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Which of the following displays a message box to the user? 1) _______ A) MessageBox.Output B) MessageBox.Display C) MessageBox.Show D) DisplayMessageBox 2) The ________ keyword is required to use relational operators in a Case statement. 2) _______ A) To B) Is C) If D)
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ASSIGNMENT 6 MA240 College Algebra Directions: Be sure to make an electronic copy of your answer before submitting it to Ashworth College for grading. Unless otherwise stated‚ answer in complete sentences‚ and be sure to use correct English spelling and grammar. Sources must be cited in APA format. Your response should be a minimum of one (1) single-spaced page to a maximum of two (2) pages in length; refer to the "Assignment Format" page for specific format requirements. NOTE: Show your
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Algebra Archit Pal Singh Sachdeva 1. Consider the sequence of polynomials defined by P1 (x) = x2 − 2 and Pj (x) = P1 (Pj−1 (x)) for j = 2‚ 3‚ . . .. Show that for any positive integer n the roots of equation Pn (x) = x are all real and distinct. 2. Prove that every polynomial over integers has a nonzero polynomial multiple whose exponents are all divisible by 2012. 3. Let fn (x) denote the Fibonacci polynomial‚ which is defined by f1 = 1‚ f2 = x‚ fn = xfn−1 + fn−2 . Prove that the inequality 2 fn
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Name Student No IMPORTANT: Questions 1‚ 2 and 4 apply to the prefuse system provided in the specified repository. Question 1. Intra-method Control Flow (Flowchart) [7 points] Draw a flowchart for the void clearAggregateMappings(int row‚ boolean update) method defined in the AggregateTable class of the prefuse.visual package. Start 137‐138 140 false true 141‐143 145 true 146 false End Page 2 Name Student No Question 2. Inter-method Control Flow (Call Graph) [7
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