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    Basic Algebra

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    Questions ... (Please See attachment)

    I am having some issues with these questions. I am just not getting it. Please help. All questions that are circled. (Please see attachment) The graphs of the following systems are given in (a) through (d). Match each system with ... Solve each system by the substitution mehtod. Determine whether ... Solve each system

    Factoring Polynomials

    I need some help with these problems. Please see attachment. Please show all work to each equation Factor out the GCF in each expression 1) 15x^2y^2 - 9xy^2 + 6x^2y 2) a(a + 1) -3(a + 1) Factor each polynomial completely 3) x^3y + 2x^2y^2 + xy^3 Use grouping to factor each polynomial completely 4) x^3

    Jacobian of a 3-Component Mapping

    I have the map f(u,v) = (2u/(1 + u^2 + v^2), 2v/(1 + u^2 + v^2), (1 - u^2 - v^2)/(1 + u^2 + v^2)), and I need help showing that the Jacobian J of this map satisfies the condition that the ijth entry of (J^T)J is given by 4/[(1 + u^2 + v^2)^2] D_{ij} where D_{ij} is the Kronecker delta.

    Simplfy Quadratic Equations

    See the attached file. 1. Multiply Simplify your answer 2. Simplify your answer. Type a fraction or an integer. Type N if the root is not a real number. 3. Subtract. Simplify by collecting like radical terms if possible. Simplify your answer. Type an exact answer, using radicals as needed. 4. Multiply and si

    Find all subfields

    Find all subfields of Q(sqrt(2), sqrt(3))with proof that you have them all. What is the minimal polynomial of sqrt(2) + sqrt(3)? Which of your subfields does it generate over Q?

    Six Graphs : Parabolas, Hyperbolas and Conic Sections.

    ASSIGNMENT 10 10.1 10. Graph each horizontal parabola and give the domain and range. x = -2(y + 3)^2 4. Graph each ellipse, identify the domain, range, center, vertices, endpoints of the minor axis, and the foci in each figure. x^2/16 + y^2/25 = 1 32. Graph the equation Y = - square root 1 -

    Exponential Growth Word Problem

    First-class postage (for the first ounce) was $.20 in 1981 and $.37 in 2002. Assume the cost increases according to an exponential growth function. A) Let t=0 correspond to 1981 and t=21 correspond to 2002. Then t is the number of years since 1981. Use the data points (0,20) and (21,37) to find the exponential growth rate and

    Gauss-Jordan Elimination

    4x(1) + 5x(2) + 2x(3) = 11 2x(2) + 3x(3) - 4x(4) = -2 2x(1) + x(2) + 3x(4) = 12 x(1) + x(3) + x(4) = 9 Using a Gauss-Jordan Elimination process, x (1) =

    Cost of cleaning pollution

    Please help answer the following basic algebra problem. Provide step by step calculations. The cost in dollars of removing p% of the pollutants from the water in a small lake is given by: C = 125,000 p / 100 - p Where 0 < p < 100, C is the cost, and p is the percentage of pollution removed. (a) find the cost of elim

    Finding Relative Extrema

    Find all relative extrema of the following function: f(x) = x^3 - 6x^2 +15. See the attached file.

    Mathematics - Algebra - Precalculus

    Three problems attached. Show the terms and find the sum 1) Terms: ? Sum: ? 2) Terms: ? Sum: ? 3) Find the coefficient of the term x^5 y^3 in the expansion of (4x-y)^8.

    Double Antidifferentiation Found

    F"(x)=5x^4/5 f(x)= (use C as the arbitrary constant for the first antiderivative and K as the arbitrary constant for the second antiderivative)

    Why Choose a Point Off the Line to Define a Different Equation?

    The equation doesn't change just because you choose different points. If those points are both on the line, then generating an equation from those two points will have to result in the same line being graphed. A line stretches forever in both directions. In order for a different graph to appear, at least one point must be off th

    canonical formulas of conical sections and their properties

    Please see the attached file for the fully formatted problems. 1. Solve the system of equations algebraically. Be sure to find all solutions! X^2+y^2=10 2x^2-y^2=17 I got not sure if it's right or missing x=2.999999976132 Y=0.999999870315 2. Find the coefficient of the term x^5 y^3 in the expansion of (4x

    Uncertainty - Certainty Factor

    You are given: R1: IF you are studying hard, THEN you will receive an A in the course. CF (certainty factor) = 0.82 R2: IF you understand the material, THEN you will receive an A in the course. CF = 0.85 R3: IF you are very smart, THEN you will receive an A in the course. CF = 0.90 1. What

    Word problems on Equations

    (1) To find a number which tells what person in a row (if no more than 9 people are in a row) is wearing a ring on which joint of which finger, double the number of the person in the row, add 5, multiply by 5, add the number of the finger, multiply by 10, add the number of the finger joint and subtract 250. The hundreds digit te

    Steve's Fishing Trip

    Please see attachment. Steve has just returned from salmon fishing. He was lucky on this trip and brought home two salmon. Steve's wife, Wendy disapproves of fishing, and to discourage Steve from further fishing trips, she has presented him with the following cost data. The cost per fishing trip is based on an average of 10 f

    20 Problems : Graphs, Quadratic Equations and Word Problems

    Please see the attached file for the fully formatted problems. 1. Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. F(x) = The vertex is ? Type an ordered pair. The line of symmetry is 2. Solve (b) Find the x-intercepts of f(x) = 3. Find t

    Solve

    Solve x2 + 18x + 81 = 0