document.write( "Question 1182352: The path of water from a hose on a fire tugboat can be approximated by the equation
\n" ); document.write( "y = −0.0045x^2 + 1.25x + 5,
\n" ); document.write( " where y is the height, in feet, of the water above the ocean when the water is x feet from the tugboat. When the water from the hose is 7 feet above the ocean, at what distance from the tugboat is it? Round answer to nearest hundredth. \n" ); document.write( "

Algebra.Com's Answer #812342 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "The path of water from a hose on a fire tugboat can be approximated by the equation y = −0.0045x^2 + 1.25x + 5,
\n" ); document.write( "where y is the height, in feet, of the water above the ocean when the water is x feet from the tugboat.
\n" ); document.write( "When the water from the hose is 7 feet above the ocean, at what distance from the tugboat is it?
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document.write( "Write equation as you read the problem\r\n" );
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document.write( "    −0.0045x^2 + 1.25x + 5 = 7. \r\n" );
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document.write( "From the equation\r\n" );
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document.write( "    0.0045x^2 - 1.25x - 5  = -7,\r\n" );
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document.write( "    0.0045x^2 - 1.25x + 2 = 0.\r\n" );
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document.write( "Use the quadratic formula\r\n" );
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document.write( "     =  =  = .\r\n" );
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document.write( "There are two roots\r\n" );
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document.write( "     =  = 1.61 ft     (in ascending branch).      ANSWER\r\n" );
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document.write( "and\r\n" );
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document.write( "     =  = 276.27 ft   (in desceding branch).     ANSWER\r\n" );
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