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Home Question Bank Math Algebra Archive 2024 November 08

Algebra Questions from Nov 08,2024

Browse the Algebra Q&A Archive for Nov 08,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Es el resultado de la siguiente multiplicación: \[ \left(2 x^{2}-3 x\right)\left(4 x^{2}-2 x+7\right) \] 4. En las siguientes proporciones, los medio tienen el mismo valor. El término marcade con \( x \) se llama tercera proporcional, calcúlalo. a. \( \frac{4}{20}=\frac{20}{x} \) b. \( \frac{1}{6}=\frac{6}{x} \) c. \( \frac{9}{18}=\frac{18}{x} \) d. \( \frac{x}{5}=\frac{5}{25} \) e. \( \frac{4}{8}=\frac{8}{x} \) f. \( \frac{3}{15}=\frac{15}{x} \) De \( 9-4 n^{4}+n^{3}+2 n^{2} \) quitar \( n^{4}-3 n^{3}-n^{2}+4 \) Adentiny the odd function. (T point) \( \begin{array}{l}f(x)=x^{4} \\ f(x)=2 x^{3} \\ f(x)=3 x^{2} \\ f(x)=2(x+1)^{3}\end{array} \) What is the value of \( x \) in \( |-6|=x \) ? 06 and -6 -6 06 0 3. Encuentra la cuarta proporcional que corresponde al término desconocido marcado con \( x \). a. \( \frac{4}{5}=\frac{20}{x} \) b. \( \frac{7}{9}=\frac{21}{x} \) c. \( \frac{15}{x}=\frac{5}{2} \) d. \( \frac{x}{10}=\frac{9}{45} \) e. \( \frac{2}{12}=\frac{x}{18} \) f. \( \frac{3}{9}=\frac{24}{x} \) Solve the following systems of equations for the unkno \( \begin{array}{l}2 x+y=17 \\ y+z=6 \\ x-z=8\end{array} \) Simplify: \( 3 y+4+9 y+5 \) \( 7 y+14 \) \( 12 y+9 \) \( 21 y \) 21 Exercice Soient \( a \) et \( \boldsymbol{b} \) deux nombres réels non nuls. Simplifier le nombre suivant : \[ N=\frac{a^{-3} \times b\left(a^{3} \times b^{-2}\right)^{3} \times b^{6}}{b^{-3} \times a^{4} \times\left(a^{-3} \times b\right)^{3} \times\left(a^{-3} \times b\right)^{2}} \] Question 2 If \( 2^{x+3}=32 \), then find the value of \( x \)
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