document.write( "Question 191813: The value of a share of I.J. Solar can be represtented by V(x)=x^2-6x+13, where x is the number of months after January 2004. What is the lowest value V(x) will reach and when did that occur? \n" ); document.write( "

Algebra.Com's Answer #143940 by Earlsdon(6294) $\"\"$ $\"About$

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Given:
\n" ); document.write( " $\"V%28x%29+=+x%5E2-6x%2B13\"$ Find the minimum value of x.
\n" ); document.write( "The minimum value of x will occur at the vertex of the upward-opening parabola.
\n" ); document.write( "This is found by:
\n" ); document.write( " $\"x+=+%28-b%29%2F2a\"$ where a = 1 and b = -6, so...
\n" ); document.write( " $\"x+=+-%28-6%29%2F2%281%29\"$
\n" ); document.write( " $\"highlight%28x+=+3%29\"$
\n" ); document.write( "The lowest value of V(x) is found by substituting the minimum value of x (x = 3) into the given function $\"V%28x%29+=+x%5E2-6x%2B13\"$ and solving for V.
\n" ); document.write( " $\"V%28x%29+=+x%5E2-6x%2B13\"$ Substitute x = 3.
\n" ); document.write( " $\"V%283%29+=+%283%29%5E2-6%283%29%2B13\"$ Simplify.
\n" ); document.write( " $\"V%283%29+=+9-18%2B13\"$
\n" ); document.write( " $\"V%283%29+=+22-18\"$
\n" ); document.write( " $\"V%283%29+=+4\"$
\n" ); document.write( "The lowest value of V(x) is 4.
\n" ); document.write( "Since x = the number of months after January, 2004, the lowest value of V(x) will be January + 3 months or April of 2004. \n" ); document.write( "

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