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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Exercise 4.1 2. Establish each of the following for all n ≥ 1 by the Principle of Mathematical Induction. Solution a) S(n): ==‚ S(1): = = =1‚ So S(1) is true. Assume S(k): = Consider S(k+1) = = +=-1+= -1. Hence‚ it follows that S(k)⇒S(k + 1) is true for all n ∈ Z+ by the Principle of Mathematical Induction. b) S( n) for n=1‚ = 2 = 2+(1-1). So S(1) is true. Inductive Step: assume S(k)is true‚ for some (particular) k ∈ Z+—that is‚ assume that =2+(k-1). For n=k+1‚ = + (k+1)
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Working with algebra you must understand why the properties of real numbers are so important. I will demonstrate my solutions to three problems and I will include my mathematical work. Also I will use five vocabulary words that help me find solutions to the problems. Properties of real numbers are useful for simplifying algebraic expression because a lot of thing we do in life are equations. We use a lot of mathematical terms in the real world. Lastly I will show every step I took to simplify and
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GMO: Friend or Foe? Introduction What is it? First of all‚ what is a GMO‚ or Genetically Modified Organism? Put simply‚ a GMO is an organism that has been genetically modified to improve its ability to grow in environments that it is not native to‚ resist pests without having to spray pesticides‚ tolerate extreme weather conditions‚ produce more food (such as milk in cows)‚ or show other desired traits. GMOs are produced through a technique which is generally known as recombinant DNA technology
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Should we‚ as a society use GMOs? Global food production faces many challenges such as climate change‚ exponential population growth‚ and the struggle to find arable lands. Societies have always produced GMOs (genetically modified organisms) to increase the occurrence of desired traits with methods such as selection‚ cross-pollination‚ and hybridization. However‚ the new technology‚ genetic engineering‚ the process of rearranging genes is saturating the GMO conversation. Still‚ the genetic engineering
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CASE STUDY: Strategic Capital Management ------------------------------------------------- NOTES SCM LLC 12.9.1998 – Elena raised $20 million for her new fund Interested in Ubid‚ recently had an IPO—lucrative Internet-sector investment? Mandate of generating 10% annual returns charge investors 2% management fee of assets under management an incentive fee equal to 20% of profits. Mandatory minimum investment horizon of 2 years Ubid & Creative Computers creative computers – a
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Name of the school Grade: ---- Chapter Name – Work Sheet number ------------------------------------------------- Date: -------- Time: Estimated Time to Complete ------------------------------------------------- Name of Student: Date of Submission: Maths assignment XII RELATIONS AND FUNCTIONS 1. If fx= x and x= x ‚ then evaluate fog52-gof-72. 2. If fx= 3-x313 and x= logex ‚ find fof(x). 3. Let * be a binary
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Formal Analysis of Art ART/101 July 17‚ 2011 Formal Analysis of Art There are a lot of differences between expressive and analytical lines in art. Analytical lines are mathematically rigorous‚ precise‚ controlled‚ logical‚ and rational. Sol LeWitt’s Wall Drawing No. 681 is one of the examples of analytical line. (Sayre‚ 2010). Expressive lines are less logical‚ free‚ loose‚ and somewhat out of control. Vincent Van Gogh’s painting “The Starry Night” is an example of art using expressive lines
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The following example shows all three artistic devices combined in the form of an early American political caricature published in New York in 1860 (Graph.01). Following the basic form of artistic interpretation as developed by Erwin Panofsky‚ the first step will be a description of what can be seen inside the image‚ followed by the examination of their iconographical meaning‚ and finally‚ the iconological interpretation will be brought to the light (Panofsky ???). Once these steps are done‚ the
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GMOS IN PHILIPPINE AGRICULTURE: AN ECONOMIC ANALYSIS POLICY PROBLEM: How to address the GMO (Genetically modified organism) issue‚ specifically in agriculture. POLICY ISSUE: Should the Philippines pursue the promotion of GMOs in agriculture? Ulysses J. Lustria Jr. 2006 1 I. Introduction There is a continuous and heated debate on GMOs especially in the international level. Powerful stakeholders such as Greenpeace and biotech companies are very much involved. Domestically‚ we
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