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Algebra Questions & Answers

Q:
Susan has a collection of 60 nickels and dimes. If the number of nickels is four times the number of dimes, how many nickels and how many dimes does she have? Susan has 48 nickets and 12 dimes.
Q:
cargar el paso a paso en el desarrollo el siguiente ejercicio: \( f(x)=-6 x^{3}-2 x^{2}+x \) y \( g(x)=7 m x^{2}-5 x+1 \) Hallar \( f(x) \cdot g(x) \)
Q:
2. Factoriser. \( \begin{array}{ll}\text { a) } 4 x+8 & \text { b) } 15 x+35 x^{2}\end{array} \)
Q:
Cual de las opciones dadas representa la descomposición en fracciones parciales de la expresión: \[ \frac{2 x^{3}-x}{\left(x^{2}+9\right)^{2}} \] Seleccione una: a. Ninguna de las opciones dadas. b. \( \frac{A}{x^{2}+9}+\frac{C X+D}{\left(x^{2}+9\right)^{2}} \) a \( \frac{A x+B}{x^{2}+9}+\frac{C x+D}{\left(x^{2}+9\right)^{2}} \) d \( \frac{A}{x^{2}+9}+\frac{B}{\left(x^{2}+9\right)^{2}} \)
Q:
\( \frac { 1 } { a ^ { 2 } - a - 30 } + \frac { 2 } { a ^ { a } + a - 42 } \)
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c) \( \left(\frac{4}{7}+x\right)^{2}=\frac{64}{49} \)
Q:
N B: [40 MARKS] ven that \( f(x)=\frac{2}{3} x-2 \), find \( f(-3) \)
Q:
7. \( -3(2 x+7)+(-5 x+6)-8(1-2 x)-(x-3)=0 \)
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b) \( \sqrt{\frac{1}{2} x}=\frac{1}{6} \)
Q:
Identify the choice that best completes the statement or answers the question. What value completes the square for the expression? \( \begin{array}{ll}\text { 1. } x^{2}+16 x & \text { c. }-64 \\ \text { a. } 64 & \text { d. }-8 \\ \text { b. } 8 & \text { c. } 81 \\ \text { 2. } x^{2}-18 x & \text { d. }-81\end{array} \)

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