document.write( "Question 618720: for the quadratic equation -16t^2+125t what is the maximum and minimum? \n" ); document.write( "

Algebra.Com's Answer #389058 by josmiceli(19441) $\"\"$ $\"About$

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The minus in front of the x-squared term tells me
\n" ); document.write( "there is a maximum and not a minimum
\n" ); document.write( "The maximum is halfway between the 2 roots
\n" ); document.write( " $\"+-16t%5E2+%2B+125t+=+0+\"$
\n" ); document.write( " $\"+t%2A%28+-16t+%2B+125+%29+=+0+\"$
\n" ); document.write( " $\"+-16t+=+-125+\"$
\n" ); document.write( " $\"+t+=+125%2F16+\"$
\n" ); document.write( " $\"+t+=+7.8125+\"$
\n" ); document.write( "One root is at $\"+t+=+0+\"$ also, so the
\n" ); document.write( "halfway point is $\"+%28+7.8125+%2B+0+%29+%2F+2+=+3.90625+\"$
\n" ); document.write( "This is the value of $\"+t+\"$
\n" ); document.write( "The value of the function is:
\n" ); document.write( " $\"+f%28t%29+=+-16%2A%283.90625%29%5E2+%2B+125%2A3.90625+\"$
\n" ); document.write( " $\"+f%28t%29+=+-+244.141+%2B+488.282+\"$
\n" ); document.write( " $\"+f%28t%29+=+244.141+\"$
\n" ); document.write( "The maximum is at ( 3.907, 244.141 ) approximately \n" ); document.write( "

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