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  1. Answers
    3
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    801

    a b= 0 If a not equal to 0 we can divide both...

    a b= 0
    If a not equal to 0 we can divide both sides by a
    a b divided by a equals b
    0 divided by a equals 0
    Then b = 0
    Similarly assume b not equal to 0
    Then divide a b=0 by b
  2. Answers
    3
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    643

    Solve these equations where variables are first...

    Solve these equations where variables are first letters of their names.

    H + F = 120
    H + P = 230
    P = 6F

    Hint: Substitute for P in second equation. Then you have two equations in variables...
  3. Answers
    2
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    2,061

    I thought you were summing (-1)^(n-1) (6n)/e^(2n)...

    I thought you were summing (-1)^(n-1) (6n)/e^(2n) from n =1 to infinity
    The problem you were solving is summing (-1)^(n-1) (6^n)/e^(2n)

    My problem involves summing n r^n from n=1 to infinity for...
  4. Answers
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    1,345

    1 = 1/2 + 1/2 = 1/2 + (1/2 - 1/3) + 1/3 ...

    1 = 1/2 + 1/2
    = 1/2 + (1/2 - 1/3) + 1/3
    = 1/2 + 1/3 + 1/6
    = 1/2 + 1/3 + 1/7 + (1/6 -1/7)
    = 1/2 + 1/3 +1/7 + 1/42
    = 1/2 + 1/4 + (1/3-1/4) + 1/7 + 1/42
    = 1/2 + 1/4 + 1/7...
  5. Answers
    4
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    1,446

    I Need Help

    Some times partial fractions can be easily done.

    Lets get the function x^2 in terms of x+2

    x^2 = [x+2-2]^2

    = (x+2)^2 -4(x+2)+ 4

    Then x^2 /(x+2)^3 = 1/(x+2) -4(x+2)^2 +4/(x+2)^3...
  6. Question: Trig question

    by MathMaven53
    Answers
    5
    Views
    1,712

    Trig question

    Let's express the equation in terms of Sin(x)

    We have 2 Cos^2 (x) + Sin(x) =1

    We use Cos^2 (x) = 1 - Sin^2(x)

    After substituting and simplifying we get the equation

    2 Sin^2(x) -...
  7. Answers
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    3,444

    Trig Identity

    1- cot^2 t = 1 - cos^2 t/sin^2 t

    = (sin^2 t - cos^2 t)/sin^2 t

    = - cos 2t/sin^2 t


    Note that cos^2 t - sin^2 t = cos 2t

    2sin^2 t = 1 - cos 2t
  8. Answers
    3
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    2,603

    Induction Proof

    1/(1x3) + 1/(2x4) +... + 1/n(n+2) = n(3n+5)/4(n+1)(n+2)

    True for n=1

    1/(1*3) = 1(8)/[4(2)(3)]

    since both sides reduce to 1/3

    Assume that
  9. Question: Probability

    by MathMaven53
    Answers
    3
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    1,559

    Re: Probability

    There are five primes between 1 and 11 inclusive:
    2,3,5,7,11

    The probability of picking any integer between 1 and 11
    inclusive is 1/11 so the probability of picking a prime
    between 1 and 11...
  10. Answers
    2
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    1,440

    Re: Homework problem

    Let S be son's age now. Then in 6 years he will
    be S + 6 years old
    Let F be father's age now. Then in 6 years he will be
    F + 6 years old

    Now the father is 4 times as old as his son

    F =...
  11. Answers
    4
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    1,235

    Re: Problem dilemma

    It's been years since I have studied Physics but I'll
    work with the equations and you can substitute values into them.

    Let s be distance brick falls,m the mass of the brick, g be...
  12. Answers
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    2,482

    Re: Math word problem

    Let x be the value two years ago

    Then in one year it is worth (3/4)x
    In two years it is worth (3/4)[(3/4)x]

    This equals (3/4)^2 * x and we know that it also
    equals $90

    So solve for x...
  13. Question: Algebra

    by MathMaven53
    Answers
    1
    Views
    1,601

    algebra

    :)
    (x^m+2)(x^-2)(x^m-5)

    = (x^m + 2)x^(m-7)

    Used law of exponents for x powers

    = x^m x^(m-7) + 2x^(m-7)

    Used distributive law
  14. Answers
    1
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    1,543

    Need Algebra Help!!

    6x^4=(3x^2)( )

    The missing factor must contain 2 since 6=2 * 3
    it also contains x^2 since x^4 = x^2 x^2

    So 6x^4 = (3x^2)(2x^2)

    -35x^2y = (-5xy)( )

    The missing factor contains 7 and x
  15. Answers
    1
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    5,814

    Math symbol text editor

    Where on the internet can I find a free, non-shareware
    Math symbol text editor? By non-shareware, I mean that
    It will not stop working after 30 days and require payment to get codes to unlock the...
  16. Answers
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    1,575

    Need a help with this math

    75 billion dollars times thickness of a dollar bill in inches

    Times 1/12 feet per inch divided by 5280 feet per mile
  17. Question: Algebra

    by MathMaven53
    Answers
    1
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    1,366

    M^2 + N^2 M^2 + N^2 Re: Algebra

    We are given M+N=3 and M^2 + N^2 =6

    Factor M^3 + N^3

    M^3 + N^3 = (M+N)(M^2 -MN + N^2)

    = (M+N)(M^2 + N^2 - MN)

    We have all quantities on the right side except MN
  18. Question: Algebra

    by MathMaven53
    Answers
    1
    Views
    1,391

    Algebra

    :) If 2x+1 is a factor of 2x^2 + 7x + k, then

    X = -1/2 is a root of 2x^2 + 7x + k = 0

    Then by substitution of x=-1/2

    2/4 -7/2 + k = 0

    Solve for k and you get k=3
  19. Answers
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    5,774

    epsilon delta proofs

    |x^3 - 8| = |(x-2)(x^2 + 2x + 4)|
  20. Question: Graphing

    by MathMaven53
    Answers
    1
    Views
    1,306

    graphing

    I can't draw graphs but I can tell you how to graph these relations.

    In question b) solve for x and the graph is a straight vertical line.

    In question d) solve for why and the graph is a...
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