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    Basic Algebra

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    Quadratic equation concepts

    Explain what a Quadratic Equation is and what does it mean to solve it. Give one example and solve it. (you can use any method you want to solve this equation)

    Basic Differentiation Rules and Rates of Change

    Please see the attached file for the fully formatted problem. Prove that (f1 + f2 +f3 + ... + fn)' (x) = f1' (x) + f2' (x) + f3' (x) + fn' (x) using proof by induction and one theorem from basic differentiation rules and rates of change.

    Algebra: Rearranging Formulas

    Please see the attached file for the fully formatted problems. Several formulas need to be rearranged so that a given variable ends up being the subject.

    Babylonian Numbers

    Please help with only letter c - which of the following numbers is bigger? See the attached file.

    Polynomials: Combining Terms

    2x^2 + 3x^2 + x^3. What can be combined and what cannot. What is the explanation of why you can only combine part of the above polynomial?

    Algebra Word Problems and Hindu-Arabic, Mayan, Roman and Babylonian Numerals

    Please see number 1 and the following problems on the attached file : 3-2 6. Wally kept track of last week's money transactions. His salary was $150 plus $54 in overtime and $260 in tips. His transportation expenses were $22, his food expenses were $60, his laundry costs were $15, his entertainment expenditures were $58,

    Write an algebraic equation for this problem

    How many gallons of a 10% salt solution must be mixed with 20 gallons of a 25% salt solution to produce a 20% salt solution? (Let "x" represent the total number of gallons in the container of 10% solution. Therefore, 20+x will represent the total number of gallons in the final container of 20% solution) a.) Write an algebraic

    Examples of Writing Equations and Solve Word Problems

    1.) The average of 5 numbers is 36. The first 4 numbers are 17, 23, 50, and 20. Find the 5th number. a.) Write an algebraic equation for this problem using "x" as the missing number. b.) Solve the equation for the missing number (x) 2.) If you invest $1200 at 4% simple interest, how much additional money would you need

    Manipulatives

    Discuss the statement , In order for children to understand the use of paper-and-pencil algorithms, they should explore addition by first using manipulatives. Do you agree with this statement? Give examples from your own life of this principle (taking what you know and applying it to new things). Discuss the importance of

    Mathematics and Algebra: Radicals Application Practice

    Radicals - Application Practice Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting. Hint for this assignment: Pay atten

    Word problems

    Appendix E Radicals Application Practice Hint for this assignment: Pay attention to the units of measure. You may have to convert from feet to miles several times in this assignment. You can use 1 mile = 5,280 feet for your conversions. 1. Many people know that the weight of an object varies on different planets,

    Simplifying rational expressions and least common multiple

    Find all numbers for which the rational expression is undefined. -15/23z Find all numbers for which the rational expression is undefined. (t^(3 )-6t)/(t^2-25) Simplify by removing factor of 1. (〖80v〗^( 8 ) y^9)/(〖50v〗^(4 ) y^6 ) (The simplified form is) Simplify by removing factor of 1. (r^(2 )-16)/(

    Algebra: Inequalities and Expressing Regions of Inequality

    22. 2x -y + 3 > 0 What is the y intercept of the line? Which region satisfies the inequality? 26. Graph the inequality: x+8y > 8 and x -2y < 10. Where do the lines intersect? Which region satisfies the inequality? (N., E., S., or W. of the intersection) 20. Solve the inequality: y < -2x +1, What is the slope of the

    Equations and word problems

    1. Bonnie and Clyde plan to rob a particular bank lying between St. Louis and Chicago. The bank is located in a town 110 miles northeast of St. Louis, and 165 miles south of Chicago. Bonnie is driving from St. Louis, and Clyde is driving from Chicago. It is important that they arrive at the bank at the same time. Assume they e

    Simplify Several Variables

    See attached for expression Simplify the expressions. (answer with positive exponents only) The question mark is there in error. Only the 3 should be there

    Algebra solution to function

    Exercise from textbook: Sketch the curves of the given function: y = sqr x; x equal to or greater than 0 y = sqr 2x - 5, x equal to or greater than 5/2 For example when y = 3; x = 7 But I have been unable to 'undo' the equation- what if have y = 3 how does one determine x = 7 ? Thank you

    Graphing and Systems of Equations - 1. Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method? Which method do you like best? Why? What circumstances would cause you to use a different method? 2. Describe what the graph of interval [-4,10] looks like.

    1. Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method? Which method do you like best? Why? What circumstances would cause you to use a different method? 2. Describe what the graph of interval [-4,10] looks like.

    Modeling approach path using a cubic polynomial

    An approach path for an aircraft landing is shown in the figure on the next page and satisfies the following conditions: i) The cruising altitude is h when descent starts at a horizontal distance L from touch down at the origin. ii) The pilot must maintain a constant horizontal speed v throughout decent. iii) The absolute val

    Trinomials, Greatest Common Factor and Zero Products

    Please see the attached file for the complete problems. 1. Find the greatest common factor (GCF) 2. Find the greatest common factor (GCF) 3. Factor check by multiplying 4. 5. Factor 6. Factor by grouping 7. Factor by grouping 8. Factor the trinomial 9. Factor the trinomial 10

    Operations with rational expressions

    Please help with the following rational expressions and to simplify. Find each function value 2) f(y) = y - 2 / -5 + y; f(-5), f(0), f(10) 6) g(x) 4 -3x / 2 10) f(x) = -4x/-2 + x 14) h(x) = 5 -3x / 2x^2 - 14x + 20 18) Explain how to simplify a rational expression or to write in it lowest terms? Simplify each rat