document.write( "Question 808293: x and y\r
\n" ); document.write( "\n" ); document.write( "In a table if 1 is x and y is 2
\n" ); document.write( "In the same table 2 is x and y 8
\n" ); document.write( "In the same table 3 is x and y is 9
\n" ); document.write( "then if 10 is the value of x what is the value of y?
\n" ); document.write( "

Algebra.Com's Answer #487026 by ankor@dixie-net.com(22740)\"\" \"About 
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x and y
\n" ); document.write( "In a table if 1 is x and y is 2
\n" ); document.write( "In the same table 2 is x and y 8
\n" ); document.write( "In the same table 3 is x and y is 9
\n" ); document.write( "then if 10 is the value of x what is the value of y?
\n" ); document.write( " x | y
\n" ); document.write( "-------
\n" ); document.write( " 1 | 2
\n" ); document.write( " 2 | 8
\n" ); document.write( " 3 | 9
\n" ); document.write( "10 | ?
\n" ); document.write( ":
\n" ); document.write( "I think this is a quadratic equation, using the form ax^2 + bx + c = y
\n" ); document.write( "Find a b and c
\n" ); document.write( "x=1
\n" ); document.write( "a + b + c =2
\n" ); document.write( "x =2
\n" ); document.write( "4a + 2b + c = 8
\n" ); document.write( "x=3
\n" ); document.write( "9a + 3b + c = 9
\n" ); document.write( ":
\n" ); document.write( "Subtract the 1st equation from the 2nd
\n" ); document.write( "4a + 2b + c = 8
\n" ); document.write( " a + b + c = 2
\n" ); document.write( "---------------eliminates c
\n" ); document.write( "3a + b = 6
\n" ); document.write( ":
\n" ); document.write( "Subtract the 1st equation from the 3rd
\n" ); document.write( "9a + 3b + c = 9
\n" ); document.write( " a + b + c = 2
\n" ); document.write( "---------------- eliminates c again
\n" ); document.write( "8a + 2b = 7
\n" ); document.write( "multiply 3a + b = 6 by 2 and subtract from the above equation
\n" ); document.write( "8s + 2b = 7
\n" ); document.write( "6a + 2b = 12
\n" ); document.write( "-------------eliminates b find a
\n" ); document.write( "2a = -5
\n" ); document.write( "a = -2.5
\n" ); document.write( ":
\n" ); document.write( "Find b
\n" ); document.write( "3(-2.5) + b = 6
\n" ); document.write( "-7.5 + b = 6
\n" ); document.write( "b = 6 + 7.5
\n" ); document.write( "b = 13.5
\n" ); document.write( ":
\n" ); document.write( "Find c using the 1st equation, replacing a and b
\n" ); document.write( "-2.5 + 13.5 + c = 2
\n" ); document.write( "11 + c = 2
\n" ); document.write( "c = 2 - 11
\n" ); document.write( "c = -9
\n" ); document.write( ":
\n" ); document.write( "Our equation: y = -2.5x^2 + 13.5x - 9
\n" ); document.write( "x = 10
\n" ); document.write( "y = -2.5(10^2) + 13.5(10) - 9
\n" ); document.write( "y = -250 + 135 - 9
\n" ); document.write( "y = -124 when x = 10
\n" ); document.write( ":
\n" ); document.write( "You can confirm this for each value of x, find y
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