document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=588892>Question 588892</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please show work because the answer I am coming up with is not correct.Please help me. \r<BR>\n" );
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document.write( "The terminal is 30ft down the 10-ft driveway and on the other side. A contractor charges $3/ft alongside the driveway and $4/ft for underneath the driveway.<BR>\n" );
document.write( "a. What will it cost if the contractor runs the pipe entirely under the driveway along the diagonal of the 30-ft by 10ft rectangle.\r<BR>\n" );
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document.write( "b. What will it cost if the contractor runs the pipe 30ft alongside the driveway and the 10ft straight across?\r<BR>\n" );
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document.write( "c. The contractor claims that he can doo the job for $120 by going alongside the driveway for some distance and then going under the drive diagonally to the terminal.Find x, the distance along side the driveway.\r<BR>\n" );
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document.write( "d. Write the cost as a function fo x and sketch the graph of the function.\r<BR>\n" );
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document.write( "e. Use the minimum feature of a graphing calcutor to find the appropriate value for x that will minimize the cost.\r<BR>\n" );
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document.write( "f. What is the minimum cost (to the nearest cent)of which the job can be done.    </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #374902 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=374902\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. The length of the diagonal of the 30-ft by 10ft rectangle, in feet, is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2830%5E2%2B10%5E2%29=sqrt%28900%2B100%29=sqrt%281000%29=10sqrt%2810%29 ALIGN=MIDDLE  ALT=\"sqrt%2830%5E2%2B10%5E2%29=sqrt%28900%2B100%29=sqrt%281000%29=10sqrt%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The cost if the contractor runs the pipe entirely under the driveway would be $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A%2810sqrt%2810%29%29 ALIGN=MIDDLE  ALT=\"4%2A%2810sqrt%2810%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=$<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40sqrt%2810%29 ALIGN=MIDDLE  ALT=\"40sqrt%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (approx $126.49)<BR>\n" );
document.write( "b. If the contractor runs the pipe 30ft alongside the driveway and the 10ft straight across, the cost would be<BR>\n" );
document.write( "$<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A30%2B4%2A10 ALIGN=MIDDLE  ALT=\"3%2A30%2B4%2A10\"   DISABLED_style= \"max-width:90%; height:auto;\" >=$<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%2B40 ALIGN=MIDDLE  ALT=\"90%2B40\"   DISABLED_style= \"max-width:90%; height:auto;\" >=$<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=130 ALIGN=MIDDLE  ALT=\"130\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d. Going alongside the driveway for some distance, x, and then going under the drive diagonally to the terminal would include a distance, in feet, under the driveway of<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%2830-3%29%5E2%2B10%5E2%29=sqrt%28900-60x%2Bx%5E2%2B100%29=sqrt%28x%5E2-60x%2B1000%29 ALIGN=MIDDLE  ALT=\"sqrt%28%2830-3%29%5E2%2B10%5E2%29=sqrt%28900-60x%2Bx%5E2%2B100%29=sqrt%28x%5E2-60x%2B1000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The cost, in $, would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%28x%29=3x%2B4sqrt%28x%5E2-60x%2B1000%29 ALIGN=MIDDLE  ALT=\"C%28x%29=3x%2B4sqrt%28x%5E2-60x%2B1000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-5%2C30%2C-10%2C140%2C3x%2B4sqrt%28x%5E2-60x%2B1000%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-5%2C30%2C-10%2C140%2C3x%2B4sqrt%28x%5E2-60x%2B1000%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c. The contractor claims that he can doo the job for $120 by going longside the driveway for some distance, x, and then going under the drive diagonally.<BR>\n" );
document.write( "That means<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120=3x%2B4sqrt%28x%5E2-60x%2B1000%29 ALIGN=MIDDLE  ALT=\"120=3x%2B4sqrt%28x%5E2-60x%2B1000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120-3x=4sqrt%28x%5E2-60x%2B1000%29 ALIGN=MIDDLE  ALT=\"120-3x=4sqrt%28x%5E2-60x%2B1000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28120-3x%29%5E2=16%28x%5E2-60x%2B1000%29 ALIGN=MIDDLE  ALT=\"%28120-3x%29%5E2=16%28x%5E2-60x%2B1000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1440-720x%2B9x%5E2=16x%5E2-960x%2B16000 ALIGN=MIDDLE  ALT=\"1440-720x%2B9x%5E2=16x%5E2-960x%2B16000\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%5E2-240x%2B1600=0 ALIGN=MIDDLE  ALT=\"7x%5E2-240x%2B1600=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Applying the quadratic formula,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28240+%2B-+sqrt%28240%5E2-4%2A7%2A1600+%29%29%2F%282%2A7%29=%28240+%2B-+sqrt%2857600-44800+%29%29%2F14=%28240+%2B-+sqrt%2812800%29%29%2F14+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > (approximately 9.06 and 25.22 ft)<BR>\n" );
document.write( "e. Use the minimum feature of a graphing calcutor to find the appropriate value for x that will minimize the cost. I do not have a graphing calculator handy but calculus says it's about 18.66 ft.<BR>\n" );
document.write( "f. What is the minimum cost (to the nearest cent)of which the job can be done.<BR>\n" );
document.write( "$116.46 according to my calculations </SPAN>\n" );
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