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About set can u define a set ? is {2,3,7,8} a set? if it is a set,can you write in set builder form

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Set builder form only can be write if u generate a set while following some logic or property ok

Posted on Sep 20, 2008

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Write an equation in standard form for vertex(6,1) passing through the point (4,5)


Assuming the 'standard form' is "slope-intercept", calculate the slope from the equation m = y2-y1 = 5 - 1 = 4 = -2
x2-x1 4 - 6 -2
The intercept can be found by substituting either of the two points into the equation y = mx + b
5 = (-2)4 + b
5 = (-8) + b
13 = b
(OR, using the other point, y = mx + b
1 = (-2)6 + b
1 = (-12) + b
13 = b )
Then expressing in general:
y = (-2) x + 13

Oct 10, 2014 | Educational & Reference Software

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What is the average rate of change for 5x+4


The rate of change for the function y=5x+4 is the coefficient 5 that multiplies the independent variable x. For a unit variation of x (x varies by 1) y varies by 5 units.
Between x1=2 to x2=3, y varies from y1=5*2+4=14 to y2=5*3+4=19.
The rate of change is defined as
(variation in y)/(variation in x)=(19-14)/(3-2)=5

Sep 28, 2014 | SoftMath Algebrator - Algebra Homework...

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Rational numbers


8.98=898/100
Both numerator and denominator are multiples of 2:The fraction can be simplified further. Simplifying, you get the irreducible form of the fraction as t 449/50.

Sep 06, 2014 | Educational & Reference Software

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(x^3+2)^2.3x^2^2dx


If you are calculating Integral ((x^3+2)^2* 3x^2*dx) define X=x^3+2, dX=3.x^2 dx, integral becomes Integral (X^3.dX)=X^3/3=(1/3)(x^3+2)^3
If you are calculating Integral ((x^3+2)^2* 3x^4*dx), develop the binomial, and use the rule for the integral of a power to integrate each term in the polynomial of degree 10 that you obtain. I will leave this for you to do.


5c486be6-74d4-4e36-8477-76b020621387.png

Dec 15, 2013 | Bagatrix Precalculus Solved Full Version...

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This is what my question says. some scientists estimate that there are 100 billion stars in the milky way galaxy.In standared form,100 billion is 100,000,000,000. write 100billion in exponential form.


1=10^0
10=10^1
100 (2 zeroes after the 1)=1x10^2
1000 (3 zeroes after the 1)=1x 0^3
1000 000 (one million) =1x10^6
1 billion =1 000 000 000 =1x10^9
100 billions =100x 1000 000 000=(1x10^2)x(1x10^9)=
1x(10^2)x(10^9)
Now use the power multiplication rule (a^n)x[a^m)=a^(m+n). Thus
1x(10^2)x(10^9)=1x10^(2+9)=1x10^(11)
100 billions =1x10^11=10^11.

Sep 10, 2013 | Educational & Reference Software

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Write each quadratic equation in standard form. . identify the values of a,b,and c. . ...


  • Solve (x + 2)(x + 3) = 12.
    It is very common for students to see this type of problem, and say:
      "Cool! It's already factored! So I'll set the factors equal to 12 and
      solve to get x = 10 and x = 9. That was easy!"

    Yeah, it was easy; it was also (warning!) wrong. Besides the fact that (10 + 2)(9 + 3) does not equal 12, you should never forget that you must have "(quadratic) equals (zero)" before you can solve.
    So, tempting though it may be, I cannot set each of the factors above equal to the other side of the equation and "solve". Instead, I first have to multiply out and simplify the left-hand side, then subtract the 12 over to the left-hand side, and re-factor. Only then can I solve.
      (x + 2)(x + 3) = 12
      x2 + 5x + 6 = 12
      x2 + 5x - 6 = 0
      (x + 6)(x - 1) = 0
      x + 6 = 0 or x - 1 = 0
      x = -6 or x = 1
    Then the solution to (x + 2)(x + 3) = 12 is x = -6, 1

Jul 17, 2011 | H. B. Enterprises Quadratic Solver

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When trying to open a PDF file in Family Tree Builder I get Error message :- 'Requested document cannot be opened' Computer:- Packard Bell imedia s1710 OS :- Windows Vista Home Premium 64bit This...


The error may be with the file or the software you are using to open it. Try download a fresh copy of adobe reader and try copying the file again and opening it again.

Mar 27, 2011 | MyHeritage Family Tree Builder

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Why is tan90 not defined?


The tangent of an angle (in a right triangle) is defined to be the length of the side opposite the angle, divided by the length of the side adjacent to the angle (that is not the hypoteneuse). As the angle approaches 90 degrees, the length of the opposite side gets very large and the length of the adjacent side nears 0. At 90 degrees, the length of the adjacent side is 0, and division by 0 is not defined, so the tangent of 90 degrees is not defined.

Nov 26, 2010 | Texas Instruments World of Mathematics...

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Differentiate each of the following w.r.t.x; 29.sin2xsinx


Use the rule for differentiating products of functions: ()' signifies derivative
(29*sin(2X)*sin(X))'= (29)'*sin(2X)*sin(X) +29* (sin(2X))'*sin(X) +29*sin(2X)*(sin(X))'
But
  1. (29)'=0 derivative of a constant is zero
  2. (sin(2X))'=cos(2X)*(2X)'=2*cos(2X)
  3. (sin(X))'=cos(X)
Result is
(29*sin(2X)*sin(X))'= 29*2*cos(2X)*sin(X)+29*sin(2X)*cos(X)

You could also have cast your formula in the form
sin(2X)*sin(X)= 1/2[ cos(2X-X)-cos(2X+X)]=1/2[cos(X)-cos(3X)]
then calculated the derivative of
29/2*[cos(X)-cos(3X)]
which is
29/2*[-si(X) +3*sin(3X)]

The challenge for you is to prove that the two forms are equivalent
29*2*cos(2X)*sin(X)+29*sin(2X)*cos(X)=29/2*[-si(X) +3*sin(3X)]

Jun 21, 2010 | Vivendi Excel@ Mathematics Study Skills...

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