document.write( "Question 1125231: Two chemical factories are discharging toxic waste into a large lake, and the pollution level at a point x miles from factory A toward factory B is P(x) = 3x2 - 72x + 576 parts per million (for 0 ≤ x ≤ 50). Find where the pollution is the least. \n" ); document.write( "

Algebra.Com's Answer #741527 by ikleyn(52782) $\"\"$ $\"About$

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document.write( "The minimum of a quadratic function of the general form\r\n" );
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document.write( "    y = ax^2 + bx + c \r\n" );
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document.write( "having positive coefficient at  x^2  is achieved at  x = .\r\n" );
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document.write( "In your case  a= 3,  b= -72,  c= 576  and the minimum is achieved at\r\n" );
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document.write( "    x =  =  = 12 miles.\r\n" );
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document.write( "Answer.   The pollution is the least at x = 12 miles from factory A toward factory B.\r\n" );
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\n" ); document.write( "\n" ); document.write( "On finding the maximum/minimum of a quadratic function see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - HOW TO complete the square to find the minimum/maximum of a quadratic function\r
\n" ); document.write( "\n" ); document.write( "    - Briefly on finding the minimum/maximum of a quadratic function\r
\n" ); document.write( "\n" ); document.write( "    - HOW TO complete the square to find the vertex of a parabola\r
\n" ); document.write( "\n" ); document.write( "    - Briefly on finding the vertex of a parabola\r
\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on finding the maximum/minimum of a quadratic function\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook under the topic \"Finding minimum/maximum of quadratic functions\". \r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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