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Home Question Bank Math Archive 2024 December 06

Math Questions from Dec 06,2024

Browse the Math Q&A Archive for Dec 06,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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\( f(x)=5 x \) y \( \quad g(x)=x^{2}-6 \) form the following operation and express in simplest form. \[ \frac{x^{2}-4}{x^{2}+2 x-8} \cdot \frac{8 x+32}{x^{4}+x^{3}} \] Below is the graph of \( y=\left(\frac{1}{2}\right)^{x} \) Translate it to become the graph of \( y=\left(\frac{1}{2}\right)^{x+3}+1 \) \( \lim _{x \rightarrow \infty}\left(e^{x}+x\right)^{\frac{1}{x}}= \) Select one: O A. 1 O B. \( e \) O C. \( \infty \) O D. 0 \( f(x)=5 x \) y \( \quad g(x)=x^{2}-6 \) \begin{tabular}{l} Points \( A, B, C \), and \( D \) are plotted on a coordinate grid. Their coordinates are \( A(-5,-3) \), \\ \( B(-5,3), C(-3,-5) \), and \( D(3,5) \). Which statement is true? \\ Point \( C \) is the reflection of point \( D \) over the \( x \)-axis and then the \( y \)-axis, \\ Point \( B \) is the reflection of point \( A \) over the \( y \)-axis. \\ \hline Point \( B \) is the reflection of point \( D \) over the \( y \)-axis. \\ \hline Point \( C \) is the reflection of point \( A \) over the \( x \)-axis and then the \( y \)-axis. \\ \hline\end{tabular} 125 II perimetro di un rettangolo è di 290 m e la base e l'altezza sono due numeri consecutivi. Calcola l'area del rettangolo. [5256 m'] Solve each equation. Remember to check for extraneous solutions. \( \frac{n^{2}+5 n-6}{3 n^{2}}=\frac{1}{3}+\frac{1}{3 n^{2}} \) Perform the following operation and express in simplest form. \[ \frac{x+4}{x} \div \frac{x^{2}+9 x+20}{x^{2}+7 x+10} \] Simplify the expression completely if possible. \[ \frac{x^{2}-49}{x^{2}+12 x+35} \]
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