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Trigonometry-basics/313257: The inverse of COS X is a function. The domain of Cos x could be

1 solutions

Answer 224032 by Fombitz(13828) About Me  on 2010-06-10 23:07:51 (Show Source):
You can put this solution on YOUR website!
The domain of cos(x) is (-infinity, infinity), no restrictions.


Equations/313222: 50+25+x+y+z=180,how would u solve for x,y,z?
1 solutions

Answer 224031 by Fombitz(13828) About Me  on 2010-06-10 23:06:24 (Show Source):
You can put this solution on YOUR website!
You can't solve for all three.
For each unknown, you need an equation.
3 unknowns require 3 equations.


Equations/313220: how would you solve, 65+75+x+y+z=180
1 solutions

Answer 224029 by Fombitz(13828) About Me  on 2010-06-10 23:05:34 (Show Source):
You can put this solution on YOUR website!
What are you solving for?
x in terms of y and z? x=40-y-z
y in terms of x and z? y=40-x-z
z in terms of x and y? z=40-x-y


Exponents/313241: solve
-3x^2-9=0
1 solutions

Answer 224028 by Fombitz(13828) About Me  on 2010-06-10 23:02:52 (Show Source):


Mixture_Word_Problems/313284: 62(200
Solution A is 80% Alcohol and Solution B is 30% Alcohol. How many Liters of each Solutions should be mixed in order to make 200 liters of a Solution that is 62% Alcohol ?
1 solutions

Answer 224027 by Fombitz(13828) About Me  on 2010-06-10 23:01:14 (Show Source):
You can put this solution on YOUR website!
1.80A%2B30B=62%28200%29
2.A%2BB=200
Multiply eq.2 by -30 and add the equations together.
80A%2B30B-30A-30B=62%28200%29-30%28200%29
50A=32%28200%29
A=32%284%29
highlight%28+A-128%29
Then from eq. 2,
128%2BB=200
highlight%28+B=72%29
128 liters of 80% solution and 72% of the 30% solution.


Probability-and-statistics/313081: using the age data only, conduct a 95% confidence interval of the mean of employees at Cumba, Inc.
1 solutions

Answer 223945 by Fombitz(13828) About Me  on 2010-06-10 16:54:37 (Show Source):
You can put this solution on YOUR website!
You need number of samples, mean, and standard deviation to calculate a confidence interval.
Please re-post.


Quadratic_Equations/313126: Solve. 4 over m^2-7=1
1 solutions

Answer 223943 by Fombitz(13828) About Me  on 2010-06-10 16:52:00 (Show Source):


Equations/313190: Determine whether the system is consistent, inconsistent, or dependent.
3x - 3y = -9
9x - 9y = -27
1 solutions

Answer 223941 by Fombitz(13828) About Me  on 2010-06-10 16:50:21 (Show Source):
You can put this solution on YOUR website!
Dependent, 3*(eq.1)=eq.2


Rectangles/313087: The perimeter of a rectangle is 90cm, its width is half its length. What would the equation be to solve this? I think it is 2L+2(1/2L)=90
1 solutions

Answer 223940 by Fombitz(13828) About Me  on 2010-06-10 16:49:14 (Show Source):
You can put this solution on YOUR website!
Yes, that's it. Now simplify and get one L term that looks like
L=...


test/313089: How to do basic algebra
1 solutions

Answer 223939 by Fombitz(13828) About Me  on 2010-06-10 16:47:54 (Show Source):
You can put this solution on YOUR website!
Put all variable terms on left hand side and all constant terms on the right hand side using the basic rules of arithmetic.
That's basically the whole thing, in a nutshell.


Quadratic_Equations/313133: how do you get the x intercepts by evaluating the function in order to get other points to graph the function>??????
this is what I have so far:
f(x) =2x^2 +2
=2(x^2 +1) +2
f(x) = 2(x^2+1+.5-.5)+2
=2(x+2+1)+3(.5)+2
=2(x+3)^2 + 3.5

am i on the right track and if so what next in order to finish ??
1 solutions

Answer 223937 by Fombitz(13828) About Me  on 2010-06-10 16:43:34 (Show Source):
You can put this solution on YOUR website!
No, not on the right track.
To get x-intercepts, set f(x)=y=0 and solve for x.
0=2x%5E2+%2B2
Well there are no x such that when you square them and add 2 will give you zero. There are no x-intercepts for this parabola.
It never crosses the x-axis.
.
.
.
To get the y-intercept, set x=0 and solve for y.
y=2%280%29%5E2%2B2
y=2
.
.
.
You can find the axis of symmetry and vertex by completing the square.
y=2x%5E2%2B2
Actually, it's already in vertex form,
y=2%28x-0%29%5E2%2B2
So the vertex is at (0,2) and it opens upwards.
.
.
.
To get other points, just pick an x and calculate y.
x=0+%2B-+1, y=2%281%29%5E2%2B2=4
x=0+%2B-+2, y=2%282%29%5E2%2B2=10
.
.
.


logarithm/313124: I am trying to calculate the value of x= log 82/log 9 -3. What do I put in the calculator?
1 solutions

Answer 223934 by Fombitz(13828) About Me  on 2010-06-10 16:37:52 (Show Source):
You can put this solution on YOUR website!
Not sure what brand you use, if it's HP, it's different.
82
log(82)
Then divide that(/) by
9
log(9)
Then subtract that(-) by
3
=
Answer(-0.9944)


absolute-value/313151: How do you solve: +6+%2A+abs%28x-8%29+?
1 solutions

Answer 223932 by Fombitz(13828) About Me  on 2010-06-10 16:35:27 (Show Source):
You can put this solution on YOUR website!
You can't solve an expression.
You need an "="
Such as,
6%2Aabs%28x-8%29=10
Please re-post.


Graphs/313119: One endpoint P (1, -3) and the midpoint M (-7, 7) of line segment PQ are given. Find the coordinates of the other endpoint, Q.
A) Q (9, -23)
B) Q (-13, 15
C) Q (-15, 17)

Please Help...
Thanks,
Stephanie Jackins
1 solutions

Answer 223930 by Fombitz(13828) About Me  on 2010-06-10 16:31:44 (Show Source):
You can put this solution on YOUR website!
The distance from the midpoint to P is the same as the distance from the midpoint to Q.
x:P to M, DELTA%2Ax=Mx-Px=-7-1=-8
y:P to M, DELTA%2Ay=My-Py=7-%28-3%29=10
.
.
.
x:M to Q, Qx=Mx%2BDELTA%2Ax=-7%2B%28-8%29=-15
y:M to Q, Qy=My%2BDELTA%2Ay=7%2B10=17
.
.
.
Q=(-15,17)
.
.
.
C) is the correct answer


Radicals/313178: is this relationship correct? why or why not?
√x+y = √x + √y
1 solutions

Answer 223927 by Fombitz(13828) About Me  on 2010-06-10 16:26:36 (Show Source):
You can put this solution on YOUR website!
Let's check. Let x=y=1.
sqrt%281%2B1%29=sqrt%281%29%2Bsqrt%281%29
sqrt%282%29=1%2B1
sqrt%282%29=2
No, that's not true.
.
.
.
sqrt%28x%2By%29=sqrt%28x%29%2Bsqrt%28y%29
Square both sides.

x%2By=x%2B2sqrt%28xy%29%2By%29
2sqrt%28xy%29=0
So the equation above only holds for certain values of x and y.
It only holds when x=0, y=0, or x=y=0
Now you see why.


logarithm/313118: 3^(2x-1) = 10*(3^x)-3. "How to solve x?" thank you
1 solutions

Answer 223923 by Fombitz(13828) About Me  on 2010-06-10 16:21:07 (Show Source):
You can put this solution on YOUR website!
3%5E%282x-1%29+=+10%2A%283%5Ex%29-3
3%5E%282x%29%2F3=10%2A3%5E%28x%29-3
Substitute u=3%5Ex, then u%5E2=3%5E%282x%29
u%5E2%2F3=10%2Au-3
u%5E2=30u-9
u%5E2-30u%2B9=0
Use the quadratic formula,
u+=+%28-%28-30%29+%2B-+sqrt%28+%28-30%29%5E2-4%2A1%2A9+%29%29%2F%282%2A1%29+
u+=+%2830+%2B-+sqrt%28+900-36+%29%29%2F%282%29+
u+=+%2830+%2B-+sqrt%28+864%29%29%2F%282%29+
u+=+%2830+%2B-+12sqrt%28+6%29%29%2F%282%29+
u+=+15+%2B-+6sqrt%28+6%29+
Two solutions:
u1=15%2B6sqrt%286%29
3%5E%28x%29=15%2B6sqrt%286%29
x=log%283%2C%2815%2B6sqrt%286%29%29%29
x=log%2810%2C%2815%2B6sqrt%286%29%29%29%2Flog%2810%2C%283%29%29+
.
.
.
u2=15-6sqrt%286%29
3%5E%28x%29=15-6sqrt%286%29
x=log%283%2C%2815-6sqrt%286%29%29%29
x=log%2810%2C%2815-6sqrt%286%29%29%29%2Flog%2810%2C%283%29%29+


Quadratic-relations-and-conic-sections/313103: given
(x-2)+8(y+5)2
find vertex
focal length
focus
width of latus rectum
directix
axis of symmetry
eccentricity

1 solutions

Answer 223915 by Fombitz(13828) About Me  on 2010-06-10 15:55:02 (Show Source):
You can put this solution on YOUR website!
Your equation is not complete.
You need an "=" and a value after the "=".
Please re-post.


Quadratic_Equations/313163: I'm stumped.
Given an array of known X and Y values, and a list of *new* X values, how can I solve for what the new Y value will be ?
A bit more detail: In Excel, I plotted these known X and Y values by means of a XY Scatter Chart, then asked it to create me a Trend Line, showing me the formula. The formula, for this data, is: y = 14.132x² - 63.03x + 79.647. I need to know how to actually *arrive* at that formula by a more manual means.
Thanks! :)
1 solutions

Answer 223913 by Fombitz(13828) About Me  on 2010-06-10 15:53:39 (Show Source):
You can put this solution on YOUR website!
Check out the link below for the particulars.
You can do this all within an EXCEL spreadsheet.
You're trying to fit y=a0%2Ba1%2Ax%2Ba2%2Ax%5E2to the given N sets of data (xi,yi).
.
.
.
You need to create a matrix of values.
[X]=%28matrix%283%2C3%2Ca%2Cb%2Cc%2Cb%2Cc%2Cd%2Cc%2Cd%2Ce%29%29
where
a=N
b=sum%28xi%2C1%2CN%29
c=sum%28xi%5E2%2C1%2CN%29
d=sum%28xi%5E3%2C1%2CN%29
e=sum%28xi%5E4%2C1%2CN%29
.
.
.
Then create another matrix of values,
[Y]=%28matrix%283%2C1%2Cp%2Cq%2Cr%29%29
where
p=sum%28yi%2C1%2CN%29
q=sum%28xi%2Ayi%2C1%2CN%29
r=sum%28xi%5E2%2Ayi%2C1%2CN%29
Then you have the coefficients a0,a1, and a2.
[a]=%28matrix%283%2C1%2Ca0%2Ca1%2Ca2%29%29
.
.
.
The matrix equation you need to solve is,
[X][a]=[Y]
[a]=[X]inv[Y]
So find the inverse of [X] and matrix multiply by [Y].
That will provide you the coefficients of the least square fit quadratic, [a].
.
.
.
http://mathworld.wolfram.com/LeastSquaresFittingPolynomial.html


Inequalities/313152: 3(x-2)+7=5+4x i know the answer is 4 i just dont know how to do the step by step work
1 solutions

Answer 223897 by Fombitz(13828) About Me  on 2010-06-10 15:03:19 (Show Source):
You can put this solution on YOUR website!
3%28x-2%29%2B7=5%2B4x+
Distribute the 3.
3x-6%2B7=5%2B4x
Combine like terms on the left hand side.
3x%2B1=5%2B4x
To get rid of the 1 on the left side, subtract 1 from both sides.
3x%2B1-1=5%2B4x-1
3x%2B0=4x%2B4
3x=4x%2B4
To get rid of the 4x from the right side, subtract 4x from both sides.
3x-4x=4x-4x%2B4
-x=0%2B4
-x=4
Multiply both sides by (-1)
-%28-x%29=-4
highlight%28+x=-4+%29
Verify the solution using the original equation.
3%28x-2%29%2B7=5%2B4x+
3%28-4-2%29%2B7=5%2B4%28-4%29+
3%28-6%29%2B7=5-16
-18%2B7=-11
-11=-11
True statement, good solution.


Quadratic_Equations/313153: i want to know that what does the root of the quadratic equation mean? what the root of any particular quadratic equation tells us?
1 solutions

Answer 223892 by Fombitz(13828) About Me  on 2010-06-10 14:51:41 (Show Source):
You can put this solution on YOUR website!
The root of any equation is the x position where the function crosses the x-axis or f%28x%29=0.


Quadratic_Equations/313146: find all real solutions to each equation
x^2 + x +√x^2+x -2=0
1 solutions

Answer 223891 by Fombitz(13828) About Me  on 2010-06-10 14:49:47 (Show Source):
You can put this solution on YOUR website!
graph%28300%2C300%2C-10%2C10%2C-5%2C15%2Cx%5E2%2Bx%2Bsqrt%28x%5E2%2Bx-2%29%29
.
.
.
No real solutions.


Polynomials-and-rational-expressions/313123: Hi,I need some help with this problem,%28n-1%29%28n%2B1%29/%28n%2B1%29x%28n-4%29/%28n-1%29%28n%2B4%29
1 solutions

Answer 223890 by Fombitz(13828) About Me  on 2010-06-10 14:46:21 (Show Source):


Polynomials-and-rational-expressions/313145: (4x^2-16)/(2x+4)
1 solutions

Answer 223889 by Fombitz(13828) About Me  on 2010-06-10 14:39:26 (Show Source):


Quadratic_Equations/313085: Find the vertex of the parabola represented by this equation:
y+=+%28x-2%29%28x-6%29

1 solutions

Answer 223870 by Fombitz(13828) About Me  on 2010-06-10 11:26:17 (Show Source):
You can put this solution on YOUR website!
You did get the value correct for x=-2.
But that point is not the vertex.
To get to vertex form, complete the square.
y=x%5E2-8x%2B12
y=%28x%5E2-8x%2B16%29-4
y=%28x-4%29%5E2-4
THe equation is now in vertex form,
y=a%28x-h%29%5E2%2Bk
where (h,k) is the vertex.
For your equation, the vertex is (4,-4).
Here's a graph to verify.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2-8x%2B12%29


Human-and-algebraic-language/313035: Soybea meal is 12% protein, cornmeal is 6 % protein. How many pounds of each should be mixed in order to get a 240lb mixture that is 8%?
1 solutions

Answer 223863 by Fombitz(13828) About Me  on 2010-06-10 08:04:31 (Show Source):
You can put this solution on YOUR website!
Soybea meal is 12% protein, cornmeal is 6 % protein. How many pounds of each should be mixed in order to get a 240lb mixture that is 8%?
Let S be the amount of soybeans, C the amount of cornmeal.
1.S%2BC=240
2.12S%2B6C=8%28240%29
Multiply eq. 1 by (-6) and add the equations together.
-6S-6C%2B12S%2B6C=-6%28240%29%2B8%28240%29
6S=2%28240%29
S=240%2F3=80
Then from eq. 1,
S%2BC=240
80%2BC=240
C=160
80 lbs of soybeans, 160 lbs of cornmeal


Equations/313042: +5a%5E2=240 solve by taking square roots
1 solutions

Answer 223861 by Fombitz(13828) About Me  on 2010-06-10 07:56:03 (Show Source):


Surface-area/312998: A tin is a right circular cylinder with a diameter of 4 meters and a height of 6 meters. What is the surface area of this tin, in terms of pi?
1 solutions

Answer 223829 by Fombitz(13828) About Me  on 2010-06-09 20:53:31 (Show Source):


Circles/312861: find x. two circles not touching, with a tangent seperating them, the tangent is seperated into 2 equal parts by the circle. two secants going through the seperate circles. Top secant exterior is x-1. bottom secant exterior is 2x. both interior parts are 6.
1 solutions

Answer 223826 by Fombitz(13828) About Me  on 2010-06-09 20:47:48 (Show Source):
You can put this solution on YOUR website!
Is there some way you could upload a scan or reference a sketch of the problem setup?


Radicals/312853: evaluate the radical
(^4 sqrt 4,096)^2
please help me with this problem
1 solutions

Answer 223825 by Fombitz(13828) About Me  on 2010-06-09 20:46:26 (Show Source):
You can put this solution on YOUR website!
Is this the problem?
%284sqrt%284096%29%29%5E2=4%5E2%28sqrt%284096%29%29%5E2=16%2A4096=65536


Numeric_Fractions/312830: how do you solve for x+y
1 solutions

Answer 223824 by Fombitz(13828) About Me  on 2010-06-09 20:44:27 (Show Source):
You can put this solution on YOUR website!
You can't solve x%2By because it's not an equation(no "="), it's an expression.
If you had x%2By=2 you could solve for x in terms of y or y in terms of x.


logarithm/312941: x^2-2x-3=0
Thank You
1 solutions

Answer 223823 by Fombitz(13828) About Me  on 2010-06-09 20:42:13 (Show Source):
You can put this solution on YOUR website!
x%5E2-2x-3=%28x-3%29%28x%2B1%29
x=3 and x=-1 are the zeros.
Is that your question?