proof‚ the icing on the cake‚ algebra and geometry playing equal parts. In a similar manner‚ algebraic formulas can also be derived from geometric diagrams. A good example would be the conics. One can’t imagine the conics without their respective geometric diagrams. Not only is geometry tied into algebra in that sense‚ but the fact that the curves had been under scrutiny by the Greeks‚ the greatest exponents of geometry‚ shows their inclination toward some algebra. Numerical approximations for
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Name: _________________________ Score: ______ / ______ Algebra I Quarter 1 Exam Answer the questions below. Make sure to show your work when applicable. Solve the absolute value equation. Check your solutions. | 5x + 13| = –7 5x + 13 = -7 5x = -20 X = -4 Simplify the expression below. 6n2 - 5n2 + 7n2 6 – 5 + 7 = 8 =8n2 The total cost for 8 bracelets‚ including shipping was $54. The shipping charge was $6. Write an equation that models the cost of each bracelet
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Should intermediate sanctions be run by traditional probation and prison systems or by new private or public agencies seeking to serve as alternatives to them? List two benefits and two challenges for each of these strategies and provide your own policy recommendation about which one should be used (and why). Overcrowding of prisons and unnecessary incarceration rates is one of the major problems in the United States today. As stated in Chapter 9‚ “ more then 60 billion dollars is spent on corrections
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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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ECON 281 Fall Term Intermediate Microeconomic theory I University of Alberta XiaoGang Che Chapter One Overview 1. Defining Microeconomics and Macroeconomics 2. Microeconomic Modeling Tools • Constrained Optimization • Equilibrium Analysis • Comparative Statics 3. The Types of Microeconomic Analysis • Positive Analysis • Normative Analysis Chapter One 2 Microeconomics Defined Microeconomics is the study of how individual economic decision-makers such as consumers‚ workers‚ firms
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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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The National Security Council Report 68-(NSC 68) was presented to the president Harris S. Truman on April‚ 4 1950. The report was a group effort‚ created with input from the Defense Department‚ the State Department‚ the CIA‚ and other interested agencies; NSC-68 formed the basis for America’s Cold War policy for the next two decades. The USA Patriot Act is an law that fights against terrorist‚ started by the U.S. Congress in October 2001‚ by President George W. Bush. The major cause was to respond
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ACCT 551 – Intermediate Accounting - II Week – 1 Assignment Chapter 12 E 12-4 Presented below is selected information for Palmiero Company. 1.Palmiero purchased a patent from Vania Co. for $1‚500‚000 on January 1‚ 2010. The patent is being amortized over its remaining legal life of 10 years‚ expiring on January 1‚ 2020. During 2012‚ Palmiero determined that the economic benefits of the patent would not last longer than 6 years from the date of acquisition. What
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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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