Chapter 4 Solving Linear Equations 1. Definitions Linear Equation Solution Property of Equality 2. Solving Linear Equations Distributive Property Eliminating Fractions 3. Solving for One Variable in a Formula 4. Summary: Process for Solving Linear Equations 5. Worked out Solutions for Exercises 4.1 Definitions: Linear Equations: An equation is a statement that two expressions have the same value: [pic]
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Absolute values In an absolute value‚ everything with it is counted as a positive. ∣-a∣ = --a= a ∣a∣ =a In an equation‚ absolute values have two possibilities when talking about equations ∣a+b∣ =x = a+b=x = a+b= -x e.g. Solve ∣x-4∣=8 x-4=8 OR x-4= -8 x=12 x=-4 Sub both answer into the equation ∣12-4∣ =8 OR ∣-4-4∣ =8 8=8 8=8 Both solution re true so x=12 or x=-4 Absolute inequalities (method 1) If ∣a+b∣ ≤x∣a+b∣
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from now" is six times Miguel’s "age last year" or‚ in math: g + 3 = 6(m – 1) This gives me two equations with two variables: m + g = 68 g + 3 = 6(m – 1) Solving the first equation‚ I get m = 68 – g. (Note: It’s okay to solve for "g = 68 – m"‚ too. The problem will work out a bit differently in the middle‚ but the answer will be the same at the end.) I’ll plug "68 – g" into the second equation in place of "m": g + 3 = 6m – 6 g + 3 = 6(68 – g) – 6 g + 3 = 408 – 6g – 6 g + 3 = 402 – 6g
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Ferguson Deliverable #1 Metaphor on Transactional Model 8-24-2010 The Transactional Model of Communication: An Equation The transactional model of communication is an infinitely long‚ incredibly complex ‘web’ of perceptions‚ actions‚ predictions‚ and reactions that perpetuate/transfer among people. The transactional model of communication can be compared to a simple but extensive equation. To avoid the subjectivity about numbers and their representation of quantities and physical properties in math
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in Hartee for each molecule was also obtained. The molecules used were Iodine (I2)‚ Carbon Monoxide (CO)‚ Cyanide ion (CN-)‚ Acetonitrile (CH3CN) and Benzene (C6H6). The energy equations used previously allows one to solve the Schrodinger equation for molecular energies. The Hamiltonian operator in the energy equation‚ containing the electron correlation is more complicated and cannot be solved. The electron correlation is the interaction of electrons with other electrons. There are several model
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Phrases and Expressions in English Word/Expression: to wolf something down Quick translation: to eat something quickly Example: "I wolfed down that sandwich so quickly." My interpretation: Wolves are known for eating their food quickly‚ for fear that another wolf will get to it before them. So to "wolf something down" is to eat as quickly as a wolf does. Word/Expression: gotta Quick translation: to have to/to need to Example: "I gotta leave now." Word/Expression: to go (expression used where
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Partial degradation of glucose Uses no O2 Yields some ATP Cellular respiration Complete degradation to CO2 and H2O Requires O2 = aerobic Yields much more ATP 2. Describe the summary equation for cellular respiration. Also note the specific chemical equation for the degradation of glucose. Organic compounds + O2 è CO2 + H2O + energy C6H12O6 + 6O2 è 6CO2 + 6H2O + energy (ΔG = -686 kcal/mol) Redox reactions: Oxidation and Reduction
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Finding Faith in Religion What Constitutes an Expression of Religion? Name: Megan Campbell Instructor’s Name: Ms. R. Revington Student Number: 110034176 Course: ENG4U1-03 Date: October 17‚ 2012 Religion is a worldwide practice and can be different to every individual. I believe that one can practice religion for many different reasons; some just may not involve a strong faith in the religion. To go through the motions of a religion is not the same as having faith in that religion. One
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Technologies Impact on Creative Expression Modern technology has shown to have many impacts on the way activities are both perceived and accomplished. Contemporary cars and airplanes enable us to travel longer distances then those that existed a century ago. Due to the use of cell phones and web-cams‚ a person can instantly connect with others on a global scale‚ figuratively transporting them across the globe with a simple call. Mass amounts of information can be gathered simply and efficiently
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Determine Value of R Lab 3 Report must be typed and submitted to Turn it in by Wednesday Sept 24th 11:59pm. Title +1 Purpose +1 Procedure +2 Data Table +4x Balanced Chemical Equation +2 Calculations Calculate R for each trial and then average. +5 Calculate % error +2 Type and Answer Discussion Questions +8 Additional Questions for Calculating the R Lab 1. One mole of hydrogen gas has a mass of 2.02 g. Use your value of molar volume to calculate the mass of one Liter of
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