Part 1. Describe the order of operations and explain how it is used to simplify expressions. Explain specifically the order in which mathematical operations must be performed to correctly simplify an expression. The order of operations is a rule that always applies to mathematical problems. It includes addition‚ subtraction‚ multiplication and division as well as grouping of numbers (such as in parentheses and powers). It gives a definite order of how to do a problem involving multiple operations
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Monster Energy Drink Glucose - C6H12O6 Glucose is the body’s preferred fuel. Standard energy drinks contain a lot of sugar It’s a carbohydrate and a lot of exercise regimen suggests a good dose of carbohydrates for workouts lasting more than an hour. Caffeine - C8H10N4O2 Caffeine stimulates the central nervous system giving the body a sense of alertness as well as dilates blood vessels. It raises heart rate and blood pressure and dehydrates the body. Guarana Inositol- C6H12O6 Guarana comes
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II. To solve a quadratic equation arranged in the form ax2+ bx=0. Strategy: To factor the binomial using the greatest common factor (GCF)‚ set the monomial factor and the binomial factor equal to zero‚ and solve. Ex. 2) 12x2- 18x=0 6x2x-3= 0 Factor using the GCF 6x=0 2x-3=0 Set the monomial and binomial equal to zero x=0 x= 32 Solutions * In some cases‚ the GCF is simply the variable with coefficient of 1.
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Brandon Deonath Add maths SBA Mrs. Ramnarine 5s Title: To find the maximum volume of a box using the method of differentiation. Problem statement: Mr. Lee‚ owner of a private cake company‚ sells a square 5 inch cake in a box made from 50 x 50 cm sheets of material. He would like to put a bigger square 8 inch cake in a box made from the same 50 x 50 com sheets of material. He decided to use the method of differentiation to help him with his task. Method: 1. Three squares measuring
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| | (-∞‚ 1)‚ (1‚ ∞) | Question 14 Find the location of the indicated absolute Minimum of f(x) over the given interval. f(x) = x3 - 3x2; [0‚ 4]Answer | | x = 2 | | | x = 0 | | | x = No minimum | | | x = 4Question 15 P(x) = -x3 + 12x2 - 21x + 100‚ x ≥ 4 is an approximation to the total profit (in thousands of dollars) from the sale of x hundred thousand tires. Find the number of hundred thousands of tires that must be sold to maximize profit.Answer | | 4 hundred thousand |
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Introduction to Management Science‚ 10e (Taylor) Chapter 5 Integer Programming 1) The 3 types of integer programming models are total‚ 0 - 1‚ and mixed. Answer: TRUE Diff: 1 Page Ref: 182 Main Heading: Integer Programming Models Key words: integer programming models 2) In a total integer model‚ all decision variables have integer solution values. Answer: TRUE Diff: 1 Page Ref: 182 Main Heading: Integer Programming Models Key words: integer programming models 3) In a 0 - 1
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Homework Sheet - Basic Algebra 1. John and Sarah are simplifying this expression. 3a + 8b + 7a – 6b John says the answer is 2a + 2b and Sarah says the answer is 10a + 14b. What is the correct answer? Sarah 2. Simplify these expressions. a) 4d + 6e – 2d – 3e = 2d-3e b) 12g – 3h – 8g + h = 4g-4h c) k + 2k + 3k – m – 2m – 3m = 6k-3m d) 7c + 4d – 10c + 5d = -3c+9d 3. Multiply out these brackets. a) 3(2a + 7) = 6a+21 b) 5(3x – 2y) = 15x-10 c) 2(4g2 – 3g) = 8g2-6
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5. a) -16 b) -209‚ c) 20 6. 10xx4+3x2-242x2+3 7. -3x2sina3+x3 8. 2x-33x2+x+1428x2-12x-7 11. cosxcosxcosx-xsinx 12. 2sec22xcostan2x 13. 2x+14x x+x 14. cosxcossinsinxcossinx 15. -3sinxcos2x 16. –cos1xx+sin1x 17. -12xx2+12x2-14 18. 3x2+1-3x522x-151-3x4 19. 2pr2cosrx2rsinrx+np-1 20. -2cos2tsec25-sin2t 21. 75x3-x4615x2-4x3 22. 4x28+x-1x3x4+1+1x2 23. sectanxtantanxsec2x 24. 2sinθ1+cosθ2 26. 2πsinπt-2cosπt-2 25. 2θcos2θcosθ2-2sin2θsinθ2 27. 4x+33x+144x+7
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Polynomials: Basic Operations and Factoring Mathematics 17 Institute of Mathematics Lecture 3 Math 17 (Inst. of Mathematics) Polynomials: Basic Operations and Factoring Lec 3 1 / 30 Outline 1 Algebraic Expressions and Polynomials Addition and Subtraction of Polynomials Multiplication of Polynomials Division of Polynomials 2 Factoring Sum and Difference of Two Cubes Factoring Trinomials Factoring By Grouping Completing the Square Math 17 (Inst. of Mathematics) Polynomials: Basic Operations
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MATH 4321 Spring 2013 Assignment Solution 0-Sum Games 2 1. Reduce by dominance to 2x2 games and solve. 5 4 4 3 (a) 0 1 1 2 1 0 2 1 4 3 1 2 10 0 7 1 (b) 2 6 4 7 6 3 3 5 Solution: (a). Column 2 dominates column 1; then row 3 dominates row 4; then column 4 dominates column 3; then row 1 dominates row 2. The resulting submatrix consists of row 1 and 3 vs. columns 2 and 4. Solving this 2 by 2 game and moving back to the original game we find that value is
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