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Home Question Bank Math Pre Algebra Archive 2025 January 01

Pre-algebra Questions from Jan 01,2025

Browse the Pre-algebra Q&A Archive for Jan 01,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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12. A parabola has vertex \( (3,-1) \), a horizontal axis of symmetry and passes through the point \( (-3,5) \). Determine the equation of the parabola. A grid is provided for rough work. 2. What is the term \( a_{8} \) of the sequence \( \left\{a_{n}\right\} \) if \( a_{n} \) equals \( \begin{array}{ll}\text { a) } 2^{n-1} ? & \text { b) } 7 \text { ? } \\ \text { c) } 1+(-1)^{n} ? & \text { d) }-(-2)^{n} ?\end{array} \) \( 71,2-\sqrt{7} \) 8) \( |3-2 \sqrt{3}| \) Exervies 14 ; \( \left({ }^{* *)}\right. \) 1) Comparer: \( 2 \sqrt{7} \) et \( 3 \sqrt{3} \) 2) Developper et Calculer \( (3 \sqrt{3}-2 \sqrt{7})^{2} \) 3) On pose : \( A=\sqrt{55-12 \sqrt{21}} \); Simplifier \( A \). 4) Sachant que: \( 1.7<\sqrt{3}<1.8 \) et \( 2.6<\sqrt{7}<2.7 \) Downer une approximation de A d'amplitude 0,5 par défaut et par excés Simplify \( \left[5\left(32^{\frac{1}{5}}+81^{\frac{1}{4}}\right)\right]^{\frac{1}{2}} \) \( 2,14 \cdot 10^{-21}=2140 \cdot 10^{m} \) olduğuna göre, \( m \) değeri kaçtır? \( \begin{array}{lllll}\text { A) }-24 & \text { B) }-22 & \text { C) }-20 & \text { D) }-18 & \text { E) }-16\end{array} \) What effect does translating the radical function \( k(x) = \sqrt{x} \) vertically downward by 3 units have on its graph? Provide the new equation. 3) Donner l'écriture scientifique de: \( \quad E=0,0013 \times\left(10^{-2}\right)^{5} \times 5 \) Exercice 3: En donnant les détails des calculs, mettre sous la forme d'une fraction irréductible nombre D: \( D=\frac{6^{2} \times 2^{3}}{2^{4} \times 3^{4}} \) Exercice 2: Donner l'écriture décimale, puis l'écriture scientifique de \( F \) : \[ F=3 \times 10^{-1}+2 \times 10^{2}+\frac{1}{10^{2}} \] Simplify the radical expression: \( \frac{\sqrt{98}}{7} \)
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