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Algebra Questions & Answers

Q:
Complete the square for the expression \( x^{2}-12 x \). That is, find real numbers \( A \) and \( B \) such that \( x^{2}-12 x+A=(x-B)^{2} \). Answer exactly. \( A=\square B=\square \)
Q:
Complete the square for the expression \( x^{2}+6 x \). That is, find real numbers \( A \) and \( B \) such that \( x^{2}+6 x+A=(x+B)^{2} \) Answer exactly. \( A=\square B=\square \)
Q:
74. Escreva as expressões na forma de ur ritmo. a) \( \log _{3} 7+\log _{3} 2 \)
Q:
\( 1 \leftarrow \begin{array}{l}\text { The graph of a function is given below. Tell whether the } \\ \text { graph could possibly be the graph of a polynomial } \\ \text { function. If it could be the graph of a polynomial function, } \\ \text { tell which of the following are possible degrees for the } \\ \text { polynomial function: } 3,4,5,6 \text {. }\end{array} \)
Q:
\[ \begin{array}{l}\text { Let } f(x)=3 x-1 \text { and } g(x)=x^{2}-1 . \\ \text { Find }(f \circ g)(0) . \\ \text { Then }(f \circ g)(0)=\square . \text { (Simplify your answer.) }\end{array} . \$ . \]
Q:
Solve the equation by taking the square root. Note the left-hand side is a perfect square: \( y^{2}+2 y+1=27 \) \( y= \)
Q:
Solve the system of equations. \[ \begin{array}{l}y=-3 x-41 \\ y=x^{2}+15 x-9\end{array} \]
Q:
\[ -5 u+12 u+9=4 u+42 \] Simplificar su respuesta tanos como sea posible
Q:
Solve the equation: \( (4 a+7)^{2}=16 \) \( a=\square \)
Q:
Find all solutions of the equation. \( (x+1)^{2}=16 \) \( x=\square \)

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