Question 1095894
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Solve for A if f(x)=-Ax^2+Bx-8, f(-5)=-123 and g(x)=4x+B, g(2)=11
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Solve for A if {{{system(f(x) = - Ax^2 + Bx - 8, f(- 5) = - 123)}}} and {{{system(g(x) = 4x + B, g(2) = 11)}}}

              {{{f(x) = - Ax^2 + Bx  -  8}}}
           {{{f(- 5) = - A(- 5)^2 + B(- 5)  -  8}}}
           f(- 5) = - 25A - 5B - 8
           - 123 = - 25A - 5B - 8
    25A + 5B = 115 ------ eq (i)

            g(x) = 4x + B
            g(2) = 4(2) + B
               11 = 8 + B
                 3 = B

   25A + 5B = 115 ---- eq (i)
25A + 5(3) = 115 ---- Substituting 3 for B in eq (i)
   25A + 15 = 115
            25A = 100
             {{{highlight(highlight_green(highlight(A = 100/25 = 4)))}}}

        (A, B) = (4, 3)</font></font></font></b></pre>