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Functions/342655: find the domain of the function: f(s)= the square root of s-1/s-4
1 solutions

Answer 245266 by Fombitz(13828) About Me  on 2010-09-13 20:57:49 (Show Source):
You can put this solution on YOUR website!
f%28s%29=sqrt%28%28s-1%29%2F%28s-4%29%29
Arguments for the square root function must be non-negative.
%28s-1%29%2F%28s-4%29%3E=0
Break up the number line into three regions.
.
.
.
Region 1:(-infinity,1]
Region 2:[1,4)
Region 3:(4,infinity)
.
.
.
x=1 is allowed, x=4 is not allowed since the function is undefined.
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.
.
Choose a point in each region (not an endpoint).
Test the inequality.
If the inequality is satisifed, the region is part of the solution.
.
.
.
Region 1:s=0
%28s-1%29%2F%28s-4%29%3E=0
%28-1%29%2F%28-4%29%3E=0
1%2F4%3E=0
True, this region is part of the solution region.
.
.
.
Region 2:s=2
%28s-1%29%2F%28s-4%29%3E=0
%282-1%29%2F%282-4%29%3E=0
1%2F%28-2%29%3E=0
-%281%2F2%29%3E=0
False, this region is part of the solution region.
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.
.
Region 1:s=5
%28s-1%29%2F%28s-4%29%3E=0
%285-1%29%2F%285-4%29%3E=0
4%2F1%3E=0
4%3E=0
True, this region is part of the solution region.
.
.
.
Domain:(-infinity,1]U(4,infinity)


Numeric_Fractions/342652: 3/4=n/20
1 solutions

Answer 245262 by Fombitz(13828) About Me  on 2010-09-13 20:50:25 (Show Source):
You can put this solution on YOUR website!
Multiply both sides by 20.
15=n
highlight%28n=15%29


test/342659: Show work.
5-(t+3)=-1+2(t-3)
Solve for t
1 solutions

Answer 245260 by Fombitz(13828) About Me  on 2010-09-13 20:49:12 (Show Source):


expressions/342670: what are all solutions of x to the second power = 16
1 solutions

Answer 245258 by Fombitz(13828) About Me  on 2010-09-13 20:47:54 (Show Source):
You can put this solution on YOUR website!
x%5E2=16
Two solutions:
x=0+%2B-+4


Mixture_Word_Problems/342698: how do i set up the equation for "the amount of acid in x liters of a 20% acid solution"
1 solutions

Answer 245256 by Fombitz(13828) About Me  on 2010-09-13 20:47:12 (Show Source):
You can put this solution on YOUR website!
if the acid solution is 20% acid, then X amount of solution would have (20/100)X amount of acid.


Functions/342649: find the domain of the function f(x) = 5x to the second power +2x-1... and please explain who you figure this out..
1 solutions

Answer 245254 by Fombitz(13828) About Me  on 2010-09-13 20:46:02 (Show Source):
You can put this solution on YOUR website!
The domain is the x values for which f(x) makes sense or is defined.
There are no restrictions so the domain is
(-infinity,infinity)


Expressions-with-variables/342648: If x + 4 y = 10 and - x + 5 y = 8 what is the value of 3x - 2?
1 solutions

Answer 245252 by Fombitz(13828) About Me  on 2010-09-13 20:44:25 (Show Source):
You can put this solution on YOUR website!
Add the two equations together.
x%2B4y-x%2B5y=10%2B8
9y=18
y=2
Then use an equation to solve for x.
x%2B4%282%29=10
x%2B8=10
x=2
So then
3x-2=3%282%29-2
3x-2=6-2
3x-2=4


Linear-equations/342643: 1.Find and label the vertex and the line of symmetry
f(x)=-2(x+2)

1 solutions

Answer 245251 by Fombitz(13828) About Me  on 2010-09-13 20:42:44 (Show Source):
You can put this solution on YOUR website!
Vertex and line of symmetry are applicable to quadratic equations.
This equation is linear.
Please re-post.


Graphs/342642: 2x-3over7=x+1
1 solutions

Answer 245250 by Fombitz(13828) About Me  on 2010-09-13 20:41:35 (Show Source):


Square-cubic-other-roots/342662: what is 6x+y divided by 6x-y ?
1 solutions

Answer 245249 by Fombitz(13828) About Me  on 2010-09-13 20:40:28 (Show Source):


Numbers_Word_Problems/342672: what is a problem that equals 216,000?
1 solutions

Answer 245248 by Fombitz(13828) About Me  on 2010-09-13 20:39:46 (Show Source):


Probability-and-statistics/342692: You have a bag with five tiles. Three are yellow, one is blue and one is red. How many different patterns could you create?
1 solutions

Answer 245247 by Fombitz(13828) About Me  on 2010-09-13 20:38:59 (Show Source):
You can put this solution on YOUR website!
How many tiles in the pattern? Do you have to use all 5 tiles?


Graphs/342087: Use the intercepts to graph the equation x+5y=20?
1 solutions

Answer 245166 by Fombitz(13828) About Me  on 2010-09-13 16:40:50 (Show Source):
You can put this solution on YOUR website!
To find the x-intercept, set y=0 and solve for x.
x%2B5y=20
x%2B5%280%29=20
x=20
(20,0)
To find the y-intercept, set x=0 and solve for y.
x%2B5y=20
0%2B5y=20
y=4
(0,4)
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.
Plot the points, then connect the points with the line.
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.


Length-and-distance/342170: what are the coordinates that has the same length of 13? the coordinated (2,1) and (14,6) are already taken.
1 solutions

Answer 245164 by Fombitz(13828) About Me  on 2010-09-13 16:36:54 (Show Source):
You can put this solution on YOUR website!
(0,0) to (13,0)
(1,0) to (14,0)
and so on.


Numbers_Word_Problems/342445: 3o increased by 3 times the square of a number?
1 solutions

Answer 245163 by Fombitz(13828) About Me  on 2010-09-13 16:35:56 (Show Source):
You can put this solution on YOUR website!
Let N be the number,
30%2B3N%5E2


Numbers_Word_Problems/342491: the sum of three numbers is 75.the second number is 5 more than 4 times the first, and the third is 2 times the first.find the second number
1 solutions

Answer 245162 by Fombitz(13828) About Me  on 2010-09-13 16:35:03 (Show Source):
You can put this solution on YOUR website!
Let A,B and C be the numbers.
1.A%2BB%2BC=75
B=5%2B4A
C=2A
Substitute into eq. 1,
A%2B5%2B4A%2B2A=75
7A%2B5=75
7A=70
highlight%28+A=10%29
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.
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B=5%2B4%2810%29
highlight%28+B=45%29
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.
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C=2%2810%29
highlight%28+C=20%29


Quadratic_Equations/342492: How do you find a, b, and c of the equation y=ax2+bx+c?
1 solutions

Answer 245159 by Fombitz(13828) About Me  on 2010-09-13 16:32:25 (Show Source):
You can put this solution on YOUR website!
You can find a,b,and c if you have three (x,y) pairs from the quadratic equation.
Is that how you mean?


Travel_Word_Problems/342485: "Two cars leave Denver at the same time and travel in opposite directions. One car travels 10mi/h faster than the other car. The cars are 500mi appart in 5h. How fast is each car traveling?"
(I was hoping that somebody could lend me a helping hand on this problem. I'd say word problems are probably my worst nightmare!)
1 solutions

Answer 245157 by Fombitz(13828) About Me  on 2010-09-13 16:30:51 (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
.
.
.
R%5B1%5D%2At=D%5B1%5D
R%5B2%5D%2At=D%5B2%5D
R%5B2%5D=R%5B1%5D%2B10
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D%5B1%5D=R%5B1%5D%2A5
D%5B2%5D=%28R%5B1%5D%2B10%295
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.
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D=D%5B1%5D%2BD%5B2%5D
5R%5B1%5D%2B5%28R%5B1%5D%2B10%29=500
2R%5B1%5D%2B10=100
2R%5B1%5D=90
highlight%28R%5B1%5D=45%29mph
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.
.
R%5B2%5D=R%5B1%5D%2B10
R%5B2%5D=45%2B10
highlight%28R%5B2%5D=55%29mph


Exponents/342487: Hi,
Help me explain:
2 to the third power to the 2nd power?
Please tell me the rules dealing with exponents having exponents? thanks
1 solutions

Answer 245154 by Fombitz(13828) About Me  on 2010-09-13 16:27:06 (Show Source):
You can put this solution on YOUR website!
In that case, multiply the exponents.
%282%5E3%29%5E2=2%5E%283%2A2%29=2%5E6


Mixture_Word_Problems/341982: √7x^5√14x
1 solutions

Answer 245152 by Fombitz(13828) About Me  on 2010-09-13 16:25:39 (Show Source):


Exponents/342478: I have done the following problems and just wanted to know if I am doing them
correct:

%28x%5E5y%5E6%29%5E2%28x%5E3y%5E-2%29%5E-1
I got:
x%5E7y%5E10


%28a%5E-2%2Fb%5E3%29%5E5%28b%5E-3%2Fa%5E4%29%5E-2
I got:
1%2Fa%5E2b%5E9

%28-30a%5E19%29%28-10a%5E17%29
I got:
300a%5E36

Thanks a lot!!!
1 solutions

Answer 245149 by Fombitz(13828) About Me  on 2010-09-13 16:22:19 (Show Source):
You can put this solution on YOUR website!

(1/2) right, (1/2) wrong.
.
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.

Good work!
.
.
.

%28-30a%5E19%29%28-10a%5E17%29=300a%5E%2819%2B17%29=300a%5E36
Good work!


Linear-equations/342068: what is a line parallel to the line y=5x-12 and passing through the point (-2,-6)?
1 solutions

Answer 245144 by Fombitz(13828) About Me  on 2010-09-13 16:17:01 (Show Source):
You can put this solution on YOUR website!
Parallel lines have identical slopes.
m1=m2=5
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.
.
y=5x%2Bb
Use the point to solve for b.
-6=5%28-2%29%2Bb
b=4
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highlight%28y=5x%2B4%29


Quadratic_Equations/342472: Solve 4x^2=20
Find the x-intercepts of f(x)=4x^2-20.
What are the solutions? x=?(type an exact answer, using radicals as needed. rationalize all denominators. express complex numbers in terms of i. use a comma to separate answers.
What are the x-intercepts? or are there no x-intercepts?(type an ordered pair. type an exact answer, using radicals as needed. rationalize all denominators. use a comma to separate answers as needed.
1 solutions

Answer 245141 by Fombitz(13828) About Me  on 2010-09-13 16:15:12 (Show Source):
You can put this solution on YOUR website!
4x%5E2=20
4x%5E2-20=0
4%28x-sqrt%285%29%29%28x%2Bsqrt%285%29%29=0
Two solutions:
x-sqrt%285%29=0
highlight%28x=sqrt%285%29%29
.
.
.
x%2Bsqrt%285%29=0
highlight%28x=-sqrt%285%29%29


Graphs/342474: 2(x+3)<54
1 solutions

Answer 245138 by Fombitz(13828) About Me  on 2010-09-13 16:12:33 (Show Source):


Angles/342020: An angle has measure 3x-10 degrees and its complement has measure 2x+20 degrees. Find the measure of each.
1 solutions

Answer 245135 by Fombitz(13828) About Me  on 2010-09-13 16:11:52 (Show Source):
You can put this solution on YOUR website!
A%2BC=90
.
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A=3x-10
C=2x%2B20
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3x-10%2B2x%2B20=90
5x=80
highlight%28x=16%29
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A=3%2816%29-10
A=48-10
highlight_green%28A=38%29
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C=2%2816%29%2B20
C=32%2B20
highlight_green%28C=52%29


Exponents/342470: I have done the following problems and just wanted to know if I am doing them correct:
%28x%5E5y%5E6%29%5E2%28x%5E3y%5E-2%29%5E-1

%28a%5E-2%2Fb%5E3%29%5E5%28b%5E-3%2Fa%5E4%29%5E-2

%28-30a%5E19%29%28-10a%5E17%29

Thanks a lot!!!
1 solutions

Answer 245132 by Fombitz(13828) About Me  on 2010-09-13 16:09:33 (Show Source):
You can put this solution on YOUR website!
I don't see your solutions attached.
Please repost.


Linear-systems/342078: what is the system by substitution answer to this problem
2x + y = 3
y = 5x - 11

1 solutions

Answer 245131 by Fombitz(13828) About Me  on 2010-09-13 16:08:44 (Show Source):
You can put this solution on YOUR website!
1.2x+%2B+y+=+3
2.y+=+5x+-+11
Substitute eq. 2 into eq. 1,
2x%2B5x-11=3
7x=14
highlight%28x=2%29
Back to eq. 2,
y=5%282%29-11
y=10-11
highlight%28y=-1%29


test/341926: I beep hellp hope this works
1 solutions

Answer 245130 by Fombitz(13828) About Me  on 2010-09-13 16:07:12 (Show Source):
You can put this solution on YOUR website!
It worked but you didn't ask a question.
Please re-post.


absolute-value/341661: Solve the inequality. Graph the soltion
1\4|x-3|+2<1
1 solutions

Answer 245129 by Fombitz(13828) About Me  on 2010-09-13 16:05:54 (Show Source):
You can put this solution on YOUR website!
%281%2F4%29abs%28x-3%29%2B2%3C1
%281%2F4%29abs%28x-3%29%3C-1
No solution.


Functions/342466: f(x)= X^2+2x^2 / (x-1)^2
1 solutions

Answer 245126 by Fombitz(13828) About Me  on 2010-09-13 16:01:58 (Show Source):
You can put this solution on YOUR website!
f%28x%29=+%28x%5E2%2B2x%5E2%29+%2F+%28x-1%29%5E2
f%28x%29=%28x%28x%2B2%29%29%2F%28x-1%29%5E2
.
.
.
What's the question?


Quadratic_Equations/342464: Determine the nature of the solutions of the equation.
x^2-14x+49=0
What does the equation have?
One real solution, two non-real solutions, or two real solutions
1 solutions

Answer 245125 by Fombitz(13828) About Me  on 2010-09-13 16:00:50 (Show Source):
You can put this solution on YOUR website!
Use the discriminant.
D=b%5E2-4ac
D=%28-14%29%5E2-4%281%29%2849%29
D=196-196
D=0
There is one real solution (a double root).
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.
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graph%28300%2C300%2C-5%2C15%2C-10%2C10%2Cx%5E2-14x%2B49%29