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    Basic Algebra

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    Solve: Normal Subgroups of a Group

    Modern Algebra Group Theory (XXXVII) Subgroups of a Group Normal Subgroups of a Group If N is a normal subgroup of G and H is any subgroup of G, prove that NH is a subgroup of G.

    Normal subgroups and product of two right cosets

    Modern Algebra Group Theory (XXXV) Cosets of Subgroups of a Group Normal Subgroups of a Group A subgroup N of G is a normal subgroup of G if and only if the product of two right cosets of N in G is again a right coset of N in G.

    Determine an expression for the instantaneous power

    Determine an expression for the instantaneous power in the circuit, p=iv, as the sum of two cosines The instantaneous current and voltage in an electric circuit are given by i = I cos 50*3.14*t v = V cos (50*3.24* t + 3.14/6) If I is 3m

    The Order of an Element of a group

    Modern Algebra Group Theory (XXXIII) Subgroups of a Group The Order of an Element of a group If in the group G, a^5 = e, aba^(-1) = b^2 for a,b belongs to

    CLEP Exam and Finding Value of the Variable

    I am practicing for CLEP exam. Can't work problem backwards. Multiple choice. What is the remainder when x to the 3rd + 5x to the 2nd - 6x + 10 is divided by x + 3 ? I know the answer is 46, I just don't know why. Can some one walk me through it?

    College Algebra: Writing Equations from Word Problems

    Please help with the following attached questions: 2,8,12,20 2. If 40L of an acid solution is 75% acid, how much pure acid is there in the mixture? 8. Unknown Numbers: Consider the following problem. The difference between six times a number and 9 is equal to five times the sum of the number and 2. Find the number.

    College Algebra: Systems of Equations Application Word Problems (8 Problems)

    22. Speed of a Plane: Two planes leave Low Angeles at the same time. One heads south to San Diego; the other heads north to San Francisco. The San Francisco plane flies 50 mph faster. In 1/2 hour, the planes are 275 miles apart. What are their speeds? 28. Wind Speed: Joe traveled against the wind in a small plane for 3 hr. Th

    College Algebra

    Please help with the following attached questions: 16, 20, 30, 32, 42, 50, 56 and 64. (See attached file for full problem description)

    College Algebra

    Please answer the following attached questions: 14, 16, 20, 34, 42, 52, 66, 72 (See attached file for full problem description)

    Logarithm Problems : Change of Base, Graphing and Solving for X

    Find the exact values: 1) log (base 10) 1000 2) ln e^-100 3) log (base 5) (1/25) 4) log (base10) (0.1) 5) log (base 12) 3 + log (base 12) 48 6) 2^(log(base 2) 3 + log(base 2) 5) 7) e^(ln 15) 8) e^(3ln2) 9) log(base 8)320 - log(base8)5 -------------------------------------------------------------------------------

    Quadratic Equation Applications

    1) Using the quadratic equation x2 - 4x - 5 = 0, perform the following tasks: a) Solve by factoring. b) Solve by completing the square. c) Solve by using the quadratic formula. 2) For the function y = x2 - 4x - 5, perform the following tasks: a) Put the function in the form y = a(x - h)2 + k. b) What is the line of s

    Problem Set

    (See attached file for full problem description) --- ? Identify the document by typing your full name and section number next to the yellow text. ? Rename the file by adding your last name to current file name (e.g., "u1ip_lastname.doc"). ? Type your answers next to the yellow text. ? To show your work, you will need t

    Quadratic functions

    When using the quadratic formula to solve a quadratic equation (ax2 + bx + c = 0), the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative. How can I create three unique equations where the discriminant is positive, zero, or negative, and for each case, explain what this value means to the graph of

    Putting a function in a form y=

    Y = x^2 - 4x - 5 = x^2 - 2*2*x - 5 = ( x^2 - 2*2*x +2^2 ) - 2^2 - 5 = (x-2)^2 - 2^2 - 5 = (x-2)^2 - 4 - 5 = (x-2)^2 -9 y = (x-2)^2 -9 How do I put this in the form y=a(x-H)^2+K, how do I graph this function, and why is it not necessary to plot points to graph when using y=a(x-h)^2+K?

    Algebra word problem

    If John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). He wants to maximize the area of his patio (area of a rectangle is length times width). What should the dimensions of the patio be? How do I set up this equation?

    Quadratic equation

    Using the Quadratic equation: x2 - 4x - 5 = 0. How do I solve this by factoring? by completing the square? & solve by Quadratic formula?