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    Algebra

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    Solving for the Value of Y

    Solve the following equation for y: (9y - 5)/(6) + (9y +1)/(3) = 13 Find the answer and then simplify it.

    Solving Equations

    Solve for X. Write your answer as a fraction in simplest form. 5/2 x + 6 = 1/5 x -1/2

    Slopes of Perpendicular and Parallel Lines

    13. The slope of the line perpendicular to the line passing through (0, 0) and (-5,-5) is a) 0 b) inf c) 1 d) -1 16. The line y = x+4 is parallel to 4x + 4y = 15 a) True b) False 17. The above two lines (question 16) intersect at a) (-3.875, 0.125) b) (0.125,3.875) c) (-0.125, 3.875) d) (3.875, 0.125)

    ABCD is a trapezium in which AC is parallel to BD and AC

    In this question ABCD is a trapezium in which AC is parallel to BD and AC is 4/5 times the length of BD....See attached file for full problem description. Find Image of C C1 A1C1 // B1D1 A1C1 must have x-coordinate = 1 B1D1 = 1 A1C1 = 1 = Therefore, C1 = (1, )

    Line Intersection Problem

    Let L whose be a straight line in the xy-plane whose equation is of the form y - 8 = m(x - 2). (a) Determine all the points in the xy-plane where the line L intersects the curve y = 2x^2 . (b) Using the results of Part (a), determine whether there are any values of m such that L intersects the curve y = 2x^2 in exactly

    Uniform Convergence of a Sequence

    Let (f_n) be a sequence of continuous functions on R--->R^q which converges at each point of the set Q of rational numbers. If the set {f_n} is uniformly equicontinuous on R, show that the sequence converges at every point of R and that the convergence is uniform on every compact set of R.

    Solve: The Slope of a Perpendicular Line

    Consider the line x+5y = 5. Please address the following questions: What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this line?

    Solving Equations

    Solve the following equation for Z. -7Z/2 = 49 See attached file for full problem description.

    Equation for a line

    A line passing through the point (x,y) = (-3, -2) and has a slope of 2. What is the equation for this line?

    Rainstorms

    Two rainstorms occurred in one week in a certain area. The first storm lasted 15 hours, and the second storm lasted 30 hours, for a total 1650ml of rain. What was the rate of rainfall for each of the two storms if the sum of the two rates was 75ml per hour?

    Solve the recurrence

    Solve the recurrence T(n) = 2T(sqrt(n)) + 1 by making change of variables. The solution should be asymptotically tight. 2. Use a recursive tree to give an asymptotically tight solution to the recurrence T(n) = T(n-a) + T(a) + cn, where n > = 1 and c > 0 are constants.

    Word problem

    Two rainstorms occurred in one week in a certain area. In the first rainstorm 35ml of rain fell per hour, and in the second rainstorm 40ml of rain fell per hour. Rain fell that week for a total of 55 hours for a total rainfall of 2075ml . How long was each of the two rainstorms?

    Recursive Definitions

    I want to get a better understanding of how these problems are done. For Exercises #1-3, decide whether the sequences described are subsequences of the Fibonacci sequence, that is, their members are some or all of the members, in the right order, of the Fibonacci sequence. 1. The sequence A(n), where A(n) = (n-1)2^n-2 +