4 5 −3 +8 12) Multiply 2 − 4 5 + 3 13) Multiply 3 − 4 3 + 4 14) Multiply 5 + 7 C. Linear Equations in One Variable: 15) 6 − 7 − 3 = −1 16) 8 2 − 3 = 6 2 + 6 17) 5 + 2 4 − 4 = 3 2 − 1 18) 19) − = = + D. Factoring Completely 20) 12 + 36 − 30 21) +5 + +5 22) 3 + 3 + 5 + 5 23) + 3 + 4 + 12 24) 2 − 8 25) 2 − 8 26) 4 − 9 27) 4 − 36 28) + 9 + 14 29) + 5 − 14 30) 3 + 9 − 30 1 E. Solving Quadratic Equations by Factoring 31) 5 + 5 = 0 32) + 8 = −12 33) = 2 + 35 F. Rational Expressions Factor and Simplify:
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substances are dissolved in water‚ the ions separate and become surrounded by water molecules. The focus of this experiment is on precipitates. The goal of this experiment is to study the nature of ionic reactions‚ write balanced equations‚ and to write net ionic equations for precipitation reactions. A detailed view of the results can be found in the table below. Cations used: Barium‚ Copper‚ Iron‚ Sodium‚ Cobalt‚ Nickel Anions used: Nitrate‚ Carbonate‚ Chloride‚ Hydroxide‚ Sulfate‚ Bicarbonate
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Unit Test‚ Part 2: Linear Equations and Systems Answer the questions below. When you have finished‚ submit this assignment to your teacher by the due date for full credit. (10 points) 1. The table gives the population of a town for the years 2000–2009. a. Make a scatter plot of the data‚ draw a line of best fit‚ and then find the equation of the line of best fit. Show and explain your work. b. Describe what the slope of the line of best fit represents. c. Use the equation to predict the population
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these properties are fundamentally important to our understanding of more advanced concepts (tangents‚ slopes‚ derivatives). Skills described in this introductory material will be required in many contexts. 1.1 Geometric ideas: lines‚ slopes‚ equations Straight lines have some important geometric properties‚ namely: The slope of a straight line is the same everywhere along its length. Definition: slope of a straight line: y ∆y ∆x x Figure 1.1: The slope of a line (usually given the symbol
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Rates of reaction Sodium Thiosulphate and Hydrochloric Acid An experiment was carried out to investigate the effect of temperature on the rate of reaction between sodium thiosulphate and hydrochloric acid. The equation for this reaction is shown below. Method (1) A measuring cylinder was used to measure 50cm3 of 0.08M sodium thiosulphate solution into a test tube. A bung was placed in the test tube. (2) A pipette was used to measure 5cm3 of 1.0M hydrochloric acid and this was placed into a second
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Solving the Mystery of Double Entry Bookkeeping – Warsono‐bin‐Hardono (swarsono@feb.ugm.ac.id) SOLVING THE MYSTERY OF DOUBLE ENTRY BOOKKEEPING 1 Sony Warsono-bin-Hardono Department of Accounting Faculty of Economics and Business Universitas Gadjah Mada Indonesia ABSTRACT Double-entry bookkeeping (DEB) has been shown to be reliable. The first documentation of its usage dates to 1494 and it has been used since then without any significant changes‚ despite more than half a millennium having passed
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All rights reserved. Course Description This course explores advanced algebra concepts and assists in building the algebraic and problem solving skills developed in Algebra 1A. Students will solve polynomials‚ quadratic equations‚ rational equations‚ and radical equations. These concepts and skills will serve as a foundation for subsequent business coursework. Applications to real-world problems are also explored throughout the course. This course is the second half of the college algebra sequence
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Equations Reducible to Quadratic Equations Exercise 4.2 Solve the following equations: 1. x 4 − 6 x 2 + 8 = 0 Solution: x4 − 6 x2 + 8 = 0 Let y = x 2 and y 2 = x 4 The above equation becomes: y 2 − 6 y + 8 = 0 y2 − 6 y + 8 = 0 y2 − 4 y − 2 y + 8 = 0 y ( y − 4) − 2( y − 4) = 0 ( y − 2)( y − 4) = 0 y − 2 = 0 and y − 4 = 0 y=2 y=4 2 As‚ y = x x2 = 2 x2 = 4 x = ±2 x=± 2 solution set = { 2‚ − 2‚ 2‚ −2} 2. x −2 − 10 = 3 x−1 Solution: x −2 − 10 = 3 x −1 x −2 − 3 x −1 − 10 = 0 Let
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c=-15=0. The new equation is (2m^2-m-15) Original equation: 2m^2-m-15=0 Step 1. (2m^2-6m+5=15=0) To start we separate the fraction. Then solve both sides of the original equation separately Step 2. 2m(m-3)+5(m-3)=0 Move both factors to the left of the 0 a) M-3=0 Step 3. 2m+5=0 Divide each term in A by “2” Solve: a) m=-5/2 For the second problem the quadratic formula will be used to solve the equation. Since a=2y^2 b=3y
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Heavenly Hash 4 cups cooked rice 1 can diced chicken ½ cup celery 1 onion 1 can cream of mushroom soup 1 cup mayo 1 can of water chestnuts 1 package frozen peas Stir in bowl. Pour into 9x13 pan. Cook at 350 degrees for 30-40 minutes (until hot). Heavenly Hash 4 cups cooked rice 1 can diced chicken ½ cup celery 1 onion 1 can cream of mushroom soup 1 cup mayo 1 can of water chestnuts 1 package frozen peas Stir in bowl. Pour into 9x13 pan. Cook at 350 degrees for 30-40 minutes
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