document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=129723>Question 129723</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have some problems I got wrong on my test. Please explain step by step what I should have done. I am allowed four, so here they are.\r<BR>\n" );
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document.write( "1.) Pizza Unlimited has the following prices for pizzas. Price is related to diameter by a quadratic equation. Fit a quadratic equation into the data points (8, 3.39), (12, 5.12), and (16, 7.29). <BR>\n" );
document.write( "Diameter                         Price<BR>\n" );
document.write( "8 inch                             $3.39<BR>\n" );
document.write( "12 inch                           $5.12              <BR>\n" );
document.write( "16 inch                           $7.29<BR>\n" );
document.write( "A.)	Price =what quadratic equation?<BR>\n" );
document.write( "B.)	Using the equation find the price of a 14 inch pizza.<BR>\n" );
document.write( "I know the answers, but I did the problem wrong, will you please show me the steps? How did they get the equation?<BR>\n" );
document.write( "Answer A:   0.01375x^2 +0.1575x+1.25<BR>\n" );
document.write( "Answer B:   14 inch pizza costs $ 6.15\r<BR>\n" );
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document.write( "2.) Solve for x. (x-6)^2 + (x+1)^2 = 0<BR>\n" );
document.write( "The solutions are 5 + 7 i /2,    5-7 i/2<BR>\n" );
document.write( "How do I know when to place the “ I “ one there?<BR>\n" );
document.write( "Please show the step by step way to get this solution.\r<BR>\n" );
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document.write( "3.) What is the maximum product of two numbers whose sum is -6? What numbers yield this product? The max product is?<BR>\n" );
document.write( "I put the max product at 9 (incorrect) and the numbers yielding this product at -3, -3 (correct)<BR>\n" );
document.write( "However when I did the same problem with -16 instead of -6, I got 49 for the max product and it was correct. I thought the max product was the number in question squared. How do I get the max product?\r<BR>\n" );
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document.write( "4.) Solve the formula for the given number. Assume all variables represent positive numbers.<BR>\n" );
document.write( "(N=n^2 – 19 n)/6; for n<BR>\n" );
document.write( "I got n = (19 + sqrt sign 361 + 36 N)/2 (incorrect)<BR>\n" );
document.write( "The answer is n = (19 + sqrt sign 361 + 24 N)/2<BR>\n" );
document.write( "What did I do wrong, please show me the steps. \r<BR>\n" );
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document.write( "Thanks for all your help!!!!!!!!!!  :o)\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #94708 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=94708\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I have some problems I got wrong on my test. Please explain step by step what I should have done. I am allowed four, so here they are. \r<BR>\n" );
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document.write( "1.) Pizza Unlimited has the following prices for pizzas. Price is related to diameter by a quadratic equation. Fit a quadratic equation into the data points (8, 3.39), (12, 5.12), and (16, 7.29). <BR>\n" );
document.write( "Diameter Price<BR>\n" );
document.write( "8 inch $3.39<BR>\n" );
document.write( "12 inch $5.12 <BR>\n" );
document.write( "16 inch $7.29<BR>\n" );
document.write( "A.) Price =what quadratic equation?<BR>\n" );
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document.write( "Substitute the three x/y pairs into the quadratic form: y = ax^2+bx+c<BR>\n" );
document.write( "to get three equations in the three unknows a,b,and c<BR>\n" );
document.write( "Solve the three equations for a,b, and c<BR>\n" );
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document.write( "B.) Using the equation find the price of a 14 inch pizza.<BR>\n" );
document.write( "If the equation is f(x) = 0.01375x^2+0.1575x+1.25, find f(14)<BR>\n" );
document.write( "to find the price of a 14 in. pizza.<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "I know the answers, but I did the problem wrong, will you please show me the steps? How did they get the equation?<BR>\n" );
document.write( "Answer A: 0.01375x^2 +0.1575x+1.25<BR>\n" );
document.write( "Answer B: 14 inch pizza costs $ 6.15<BR>\n" );
document.write( "============================================= \r<BR>\n" );
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document.write( "2.) Solve for x. (x-6)^2 + (x+1)^2 = 0<BR>\n" );
document.write( "You get x^2-12x+36 + x^2+2x+1 = 0<BR>\n" );
document.write( "2x^2-10x+37 = 0<BR>\n" );
document.write( "x = [10 +- sqrt(100-4*2*37)]/4<BR>\n" );
document.write( "x = [10 +- sqrt(-196)]/4<BR>\n" );
document.write( "x = [10 +- 14i]/4<BR>\n" );
document.write( "You get that \"i\" because i is the square root of -1.<BR>\n" );
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document.write( "The solutions are 5 + 7 i /2, 5-7 i/2<BR>\n" );
document.write( "How do I know when to place the “ I “ one there?<BR>\n" );
document.write( "Please show the step by step way to get this solution.<BR>\n" );
document.write( "============================= \r<BR>\n" );
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document.write( "3.) What is the maximum product of two numbers whose sum is -6? What numbers yield this product? The max product is?<BR>\n" );
document.write( "I put the max product at 9 (incorrect) and the numbers yielding this product at -3, -3 (correct)<BR>\n" );
document.write( "However when I did the same problem with -16 instead of -6, I got 49 for the max product and it was correct. I thought the max product was the number in question squared. How do I get the max product?<BR>\n" );
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document.write( "Let one of the numbers be \"x\"; If the other number is \"y\"<BR>\n" );
document.write( "the sum, x+y = -6<BR>\n" );
document.write( "y = -(x+6)<BR>\n" );
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document.write( "Their product is P(x) =  x [-(x+6)]<BR>\n" );
document.write( "Then P(x) = -x^2-6x<BR>\n" );
document.write( "This is a quadratic with a = -1 and b = -6<BR>\n" );
document.write( "The max occurs when x = -b/2a = 6/-2 = -3<BR>\n" );
document.write( "Since x+y = -6<BR>\n" );
document.write( "-3+y = -6 <BR>\n" );
document.write( "y = -3<BR>\n" );
document.write( "And the product is 9<BR>\n" );
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document.write( "4.) Solve the formula for the given number. Assume all variables represent positive numbers.<BR>\n" );
document.write( "(N=n^2 – 19 n)/6; for n<BR>\n" );
document.write( "I got n = (19 + sqrt sign 361 + 36 N)/2 (incorrect)<BR>\n" );
document.write( "The answer is n = (19 + sqrt sign 361 + 24 N)/2<BR>\n" );
document.write( "What did I do wrong, please show me the steps. <BR>\n" );
document.write( "Thanks for all your help!!!!!!!!!! :o) <BR>\n" );
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document.write( "I can't follow what you mean here.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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