document.write( "Question 473418: The main charater in a video game, Tammy, must swing on a vine to cross a river, If she grabs the vine at a point that is too low and swings within 80 cm of the surface of the river, a crocodile will come out of the riverf and catch her. From where she is standing on the river bank, tammy can reach a point on the vine where her height above the river, h, is modelled by the relation h=6x2-56.8+228, where,x, is the horizontal distance of her swing from her starting point. Should Tammy jump? \r
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Algebra.Com's Answer #324655 by ccs2011(207) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"h+=+6x%5E2+-+56.8x+%2B+228\"$
\n" ); document.write( "If h ever goes below 80 then the crocodile will catch her.
\n" ); document.write( "Find minimum value and test to see if it is greater than 80.
\n" ); document.write( "Minimum value of an upward parabola is at the vertex.
\n" ); document.write( "To find x_coordinate of vertex, $\"x+=+%28-b%29%2F2a\"$ where a,b,c are the coefficients 6,-56.8,228
\n" ); document.write( " $\"x+=+%28-%28-56.8%29%29%2F%282%2A6%29+=+56.8%2F12+=+4.73\"$
\n" ); document.write( "Now find the corresponding height at x=4.73
\n" ); document.write( " $\"h+=+6%284.73%5E2%29+-+56.8%284.73%29+%2B+228\"$
\n" ); document.write( " $\"h+=+134.24+-+268.66+%2B+228\"$
\n" ); document.write( " $\"h+=+93.6\"$
\n" ); document.write( "Therefore since minimum height is 93.6, at no point will she fall below 80 and it is safe to jump
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