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Home Question Bank Math Algebra Archive 2024 November 27

Algebra Questions from Nov 27,2024

Browse the Algebra Q&A Archive for Nov 27,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Solve for \( d \). \[ |5 d+9| \leq 1 \] Write a compound inequality like \( \mathbf{1}<\mathbf{x}<\mathbf{3} \) or like \( \mathbf{x}<\mathbf{1} \) or \( \mathbf{x}>\mathbf{3} \). Use integers, proper fractions, or improper fractions in simplest form. Solve for \( d \). \[ |5 d+9| \leq 1 \] Write a compound inequality like \( \mathbf{1}<\mathbf{x}<\mathbf{3} \) or like \( \mathbf{x}<\mathbf{1} \) or \( \mathbf{x}>\mathbf{3} \). Use integers, proper fractions, or improper fractions in simplest form. \( \frac{5 x}{8}-\frac{1 y}{4}=3 \) Solución: \( x=4 ; y=-2 \) Resuelva los problemas planteados aplicando sistemas de ecuaciones y luego realice la verificación. a) Pedro y sus compañeros pagaron \( \$ 52 \) por tres pantalones y dos camisetas. Si la semana anterior adquirieron pantalones y una camiseta pagaron \( \$ 56 \). Cuánto cuesta cada pantalón y cada camiseta? The graph (C) of the function \( f(x)=2(x+2)(x-6) \) is a parabola. If the line \( x=k \) is the axis of symmetry of the parabola, what is the value of \( k \) ? 11) Resuelve las siguientes ecuaciones que incluyen potencia \( y \) raiz: \( \begin{array}{llll}\text { a) } 5 x^{2}-7=13 & \text { b) } \sqrt{3 x+7}=5 & \text { c) }(x-2)^{2}+1=10 & \text { d) } \sqrt[3]{3 x-6}+4=1\end{array} \) 4) \( \begin{array}{l}\frac{x^{2}}{x-8}-\frac{64}{x-8} \\ \text { npu } x=7,93\end{array} \) Find in \( \mathbb{R} \) the S.S. of the inequality : \( x-1<3-x \leq x+5 \) in the form of an interval and represent it on the number line. Solve this inequality. \[ 4 x<24 \] \( x>6 \quad x<6 \quad x>-6 \) If \( \left\{x_{1}, x_{2}, \cdots, x_{18}\right\} \) is a complete residue system modulo \( b=18 \), then so is the set \( \left\{5 x_{1}, 5 x_{2}, \cdots, 5 x_{18}\right\} \). O True O False \[ f(x)=3\left(x^{4}-3 x\right)=x^{4}-x \] 3.- ¿Qué regla te convendría usar para la función \( r(x)=\left(3 x^{5}-x^{4}-2 x\right)\left(7 x^{-3}-9 x^{6}\right) \) ? R:
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