document.write( "Question 233447: Your family is planning to open a restaurant. You need an initial investmetn of $85,000. Each week your costs will be about $7,400. If your weekly revenue is $8,000, how many days will the damn idiot feel his pussy will it take to break even. Show equation #2 and equation #2. \n" ); document.write( "

Algebra.Com's Answer #483897 by HELP ME!(1) $\"\"$ $\"About$

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Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc

Equation $\"4+x+%2B+2+y+=+8\"$ describes a sloping line. For any
\n" ); document.write( " equation ax+by+c = 0, slope is $\"-a%2Fb+=+-4%2F2\"$ .

X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 8/4 = 2.
Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 8/2 = 4.
Slope is -4/2 = -2.
Equation in slope-intercept form: y=-2*x+4.

$\"graph%28+500%2C+500%2C+2-8%2C+2%2B8%2C+4-8%2C+4%2B8%2C+-2%2Ax%2B4+%29+\"$ \n" ); document.write( "

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Solved by pluggable solver: SOLVE linear system by SUBSTITUTION

Solve:
\n" ); document.write( " $\"+system%28+%0D%0A++++1%5Cx+%2B+1%5Cy+=+2%2C%0D%0A++++1%5Cx+%2B+-1%5Cy+=+0+%29%0D%0A++\"$ We'll use substitution. After moving 1*y to the right, we get:
\n" ); document.write( " $\"1%2Ax+=+2+-+1%2Ay\"$ , or $\"x+=+2%2F1+-+1%2Ay%2F1\"$ . Substitute that
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\n" ); document.write( " $\"1%2A%282%2F1+-+1%2Ay%2F1%29+%2B+-1%5Cy+=+0\"$ and simplify: So, we know that y=1. Since $\"x+=+2%2F1+-+1%2Ay%2F1\"$ , x=1.
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\n" ); document.write( " Answer: $\"system%28+x=1%2C+y=1+%29\"$ .
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Solved by pluggable solver: SUBSTITUTION solver -- compute expression given values

Your Result:

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Graphical form: $\"x%5E2-2x\"$ simplifies to $\"3\"$
Text form: x^2-2x simplifies to 3
Cartoon (animation) form: $\"simplify_cartoon%28+x%5E2-2x+%29\"$
For tutors: simplify_cartoon( x^2-2x )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"highlight_red%28+x+%29%5E2-2%2Ax\"$ .
Replaced x with 3
It becomes $\"highlight_green%28+3+%29%5E2-2%2Ax\"$ .
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Look at $\"highlight_red%28+3+%29%5Ehighlight_red%28+2+%29-2%2Ax\"$ .
Replace constants in factor: $\"highlight_red%28+3+%29\"$ , $\"highlight_red%28+2+%29\"$ with $\"highlight_green%28+9+%29\"$
It becomes $\"highlight_green%28+9+%29-2%2Ax\"$ .
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Look at $\"9-2%2Ahighlight_red%28+x+%29\"$ .
Replaced x with 3
It becomes $\"9-2%2Ahighlight_green%28+3+%29\"$ .
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Look at $\"highlight_red%28+9+%29-highlight_red%28+2%2A3+%29\"$ .
Replace constants in expression: $\"highlight_red%28+9+%29\"$ , $\"highlight_red%28+-2%2A3+%29\"$ with $\"highlight_green%28+3+%29\"$
It becomes $\"highlight_green%28+3+%29\"$ .
Result: $\"3\"$
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Universal Simplifier and Solver

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Done!

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Solved by pluggable solver: SUBSTITUTION solver -- compute expression given values

Your Result:

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Graphical form: $\"x%5E2-2x\"$ simplifies to $\"3\"$
Text form: x^2-2x simplifies to 3
Cartoon (animation) form: $\"simplify_cartoon%28+x%5E2-2x+%29\"$
For tutors: simplify_cartoon( x^2-2x )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"highlight_red%28+x+%29%5E2-2%2Ax\"$ .
Replaced x with 3
It becomes $\"highlight_green%28+3+%29%5E2-2%2Ax\"$ .
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Look at $\"9-2%2Ahighlight_red%28+x+%29\"$ .
Replaced x with 3
It becomes $\"9-2%2Ahighlight_green%28+3+%29\"$ .
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Universal Simplifier and Solver

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Done!

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Solved by pluggable solver: SOLVE a linear equation

Solve $\"2%2Ax%2B1=5\"$ . Move 1 to the right: $\"2%2Ax=5-1\"$ . Divide by 2: $\"x=%285-1%29%2F2=4%2F2+=+2\"$

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