document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=177860>Question 177860</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 41. Anthony has 10 ft of framing and wants to use it to make the largest<BR>\n" );
document.write( "rectangular picture frame possible. Find the maximum area that can<BR>\n" );
document.write( "be enclosed by his frame.\r<BR>\n" );
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document.write( "42. A ball is thrown upward from ground level. Its height h, in feet, above<BR>\n" );
document.write( "the ground after t seconds is h = 48t - 16t2. Find the maximum height<BR>\n" );
document.write( "of the ball.\r<BR>\n" );
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document.write( "43. Suppose a parabola has a vertex in Quadrant IV and a , 0 in the<BR>\n" );
document.write( "equation y = ax2 + bx + c. How many real solutions will the equation<BR>\n" );
document.write( "ax2 + bx + c = 0 have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #132876 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=132876\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 41. Anthony has 10 ft of framing and wants to use it to make the largest<BR>\n" );
document.write( "rectangular picture frame possible. Find the maximum area that can<BR>\n" );
document.write( "be enclosed by his frame. <BR>\n" );
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document.write( "Perimeter = 2(L + W)<BR>\n" );
document.write( "10 = 2(L + W)<BR>\n" );
document.write( "L+W = 5<BR>\n" );
document.write( "L = 5-W<BR>\n" );
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document.write( "Area = LW<BR>\n" );
document.write( "Area = (5-W)W<BR>\n" );
document.write( "Area = 5W - W^2<BR>\n" );
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document.write( "This is a quadratic with a = -1, b=5<BR>\n" );
document.write( "The maximum area occurs when W = -b/2a = -5(2*-1) = 5/2<BR>\n" );
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document.write( "If W + L = 5 and W = 5/2, then L = 5/2<BR>\n" );
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document.write( "So the maximum area is: A = LW = (5/2)^2 = 25/4 sq ft<BR>\n" );
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document.write( "42. A ball is thrown upward from ground level. Its height h, in feet, above<BR>\n" );
document.write( "the ground after t seconds is h = 48t - 16t2. Find the maximum height<BR>\n" );
document.write( "of the ball.<BR>\n" );
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document.write( "h(t) = 48t - 16t^2<BR>\n" );
document.write( "Max occurs when t = -48/(2*-16) = 48/32 = 3/2 seconds<BR>\n" );
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document.write( "Max height = h(3/2) = 48(3/2)-16(3/2)^2 = 72 - 36 = 36 ft.<BR>\n" );
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document.write( "43. Suppose a parabola has a vertex in Quadrant IV and a , 0 in the<BR>\n" );
document.write( "equation y = ax2 + bx + c. How many real solutions will the equation<BR>\n" );
document.write( "ax2 + bx + c = 0 have?<BR>\n" );
document.write( "Comment: Somthing is missing in your statement.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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