document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179691>Question 1179691</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The area of the region under the curve of the function f(x) = 5x + 7 on the interval [1, b] is 88 square units, where b > 1.\r<BR>\n" );
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document.write( "the value of b is ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #809274 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=809274\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We need to find the integral of the function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+5x+%2B+7+ ALIGN=MIDDLE  ALT=\"f%28x%29+=+5x+%2B+7+\"   DISABLED_style= \"max-width:90%; height:auto;\" >with the limits <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+ ALIGN=MIDDLE  ALT=\"b+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28%285+x+%2B+7%29%2Cdx%2C1%2Cb%29+=+%285+b%5E2%29%2F2+%2B+7+b+-+19%2F2 ALIGN=MIDDLE  ALT=\"int%28%285+x+%2B+7%29%2Cdx%2C1%2Cb%29+=+%285+b%5E2%29%2F2+%2B+7+b+-+19%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solve the quadratic equation and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+ ALIGN=MIDDLE  ALT=\"b+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5b%5E2%2F2%2B7b-19%2F2=88 ALIGN=MIDDLE  ALT=\"5b%5E2%2F2%2B7b-19%2F2=88\"   DISABLED_style= \"max-width:90%; height:auto;\" >........both sides multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5b%5E2%2B14b-19=176 ALIGN=MIDDLE  ALT=\"5b%5E2%2B14b-19=176\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5b%5E2%2B14b-19-176=0 ALIGN=MIDDLE  ALT=\"5b%5E2%2B14b-19-176=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5b%5E2%2B14b-195=0 ALIGN=MIDDLE  ALT=\"5b%5E2%2B14b-195=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >...factor\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5b%5E2-25b%2B39b-195=0 ALIGN=MIDDLE  ALT=\"5b%5E2-25b%2B39b-195=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285b%5E2-25b%29%2B%2839b-195%29=0 ALIGN=MIDDLE  ALT=\"%285b%5E2-25b%29%2B%2839b-195%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5b%28b-5%29%2B39%28b-5%29=0 ALIGN=MIDDLE  ALT=\"5b%28b-5%29%2B39%28b-5%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b+-+5%29+%285b+%2B+39%29+=+0 ALIGN=MIDDLE  ALT=\"%28b+-+5%29+%285b+%2B+39%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=>since given that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+%3E+1 ALIGN=MIDDLE  ALT=\"b+%3E+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,  use solution <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=5 ALIGN=MIDDLE  ALT=\"b=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "in interval [<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" >] the area of the region under the curve will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=88 ALIGN=MIDDLE  ALT=\"88\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28+%285+x+%2B+7%29%2C+dx%2C1%2C5%29+=+88 ALIGN=MIDDLE  ALT=\"int%28+%285+x+%2B+7%29%2C+dx%2C1%2C5%29+=+88\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF=\"https://ibb.co/vJVD7fq\"><IMG STYLE=\"max-width:80%;\" src=\"https://i.ibb.co/vJVD7fq/area.gif\" alt=\"area\" border=\"0\"></a>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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