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Home Question Bank Math Algebra Archive 2024 November 02

Algebra Questions from Nov 02,2024

Browse the Algebra Q&A Archive for Nov 02,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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5. Resuelve: \[ 9=\sqrt{\frac{3^{x}}{\sqrt{3}}}= \] \( \begin{array}{lll}\text { a) } 2 & \text { b) } 3 & \text { c) } 1 / 2 \\ \text { d) } 9 / 2 & \text { e) } 2 / 3 & \end{array} \) Use the properties of logarithms to expand the following expression. \[ \log \left(\sqrt[3]{\frac{(x+7)^{4}}{x^{5}}}\right) \] Your answer should not have radicals or exponents. You may assume that all variables are positive. \( \log \left(\sqrt[3]{\frac{(x+7)^{4}}{x^{5}}}\right)=\prod \) \( \left. \begin{array} { l } { \frac { 3 x ^ { 2 } \times 5 x ^ { 3 } } { 15 x } = } \\ { x ^ { 4 } \bigcirc x ^ { 5 } \bigcirc x ^ { 6 } \bigcirc 15 x ^ { 4 } } \end{array} \right. \) 14) Sea \( f \) una función con dominio el conjunto de los números enteros, tal que \( f(x+1)=(f(x))^{2} \) y \( f(0)=10 \). Entonces \( f(4) \) es igual a A) \( 10^{16} \) B) 100 C) \( 10^{256} \) D) 101 In \#9-11, Find the quadratic function \( y=a x^{2}+b x+c \) whose graph passes through the given points. 9.) \( (-1,6),(1,4),(2,9) \) Use substitution to solve the system. \[ \begin{array}{r}-2 x+5 y=-9 \\ -3 x+y=-7\end{array} \] \( \begin{array}{l}x=\square \\ y=\square\end{array} \) \( \log _{4}\left(\frac{\sqrt{3 x^{2}+3 y^{2}}}{2 z^{4}}\right) \) Note: If you are using log you need to type it in and use the subscript button on the keyboard. There is no log button. Provide your answer below: a) \( 10 x+1>8 x+5 \) Solve the following system of equations. \[ \begin{array}{l}5 x+6 y=20 \\ 4 x+7 y=16 \\ x=\square \\ y=\square\end{array} \] \[ \] a. \( m^{2}-1= \)
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