document.write( "Question 1095894: Solve for A if f(x)=-Ax^2+Bx-8, f(-5)=-123 and g(x)=4x+B, g(2)=11 \n" ); document.write( "

Algebra.Com's Answer #853962 by MathTherapy(10801) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "Solve for A if f(x)=-Ax^2+Bx-8, f(-5)=-123 and g(x)=4x+B, g(2)=11\r\n" );
document.write( "*****************************************************************\r\n" );
document.write( "Solve for A if  and \r\n" );
document.write( "\r\n" );
document.write( "              \r\n" );
document.write( "           \r\n" );
document.write( "           f(- 5) = - 25A - 5B - 8\r\n" );
document.write( "           - 123 = - 25A - 5B - 8\r\n" );
document.write( "    25A + 5B = 115 ------ eq (i)\r\n" );
document.write( "\r\n" );
document.write( "            g(x) = 4x + B\r\n" );
document.write( "            g(2) = 4(2) + B\r\n" );
document.write( "               11 = 8 + B\r\n" );
document.write( "                 3 = B\r\n" );
document.write( "\r\n" );
document.write( "   25A + 5B = 115 ---- eq (i)\r\n" );
document.write( "25A + 5(3) = 115 ---- Substituting 3 for B in eq (i)\r\n" );
document.write( "   25A + 15 = 115\r\n" );
document.write( "            25A = 100\r\n" );
document.write( "             \r\n" );
document.write( "\r\n" );
document.write( "        (A, B) = (4, 3)

\n" ); document.write( "

\n" );