Algebra Questions from Dec 21,2024

Browse the Algebra Q&A Archive for Dec 21,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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By completing the square, solve for s in the equation \( 2 x^{2}-6=x \) (2) Evaluate \( 4-\frac{2}{x} \) when \( x=6 \). (4) Evaluate \( (4 a+2) \div 3 \) when \( a=10 \). (6) Evaluate \( 60 \div c+2 \) when \( c=3 \). (8) Evaluate \( 5(x+y) \) when \( x=2 \) and \( y=\frac{1}{3} \). Evaluate the expressions. Show your work. (1) Evaluate \( 3 n+4 \) when \( n=3 \). (3) Evaluate \( 3(x-2 y) \) when \( x=4 \) and \( y=2 \). (5) Evaluate \( 4 q+p \) when \( q=3 \) and \( p=2 \). (7) Evaluate \( 3+\frac{h}{3} \) when \( h=8 \). 2- Los siguientes puntos corresponden a una función lineal \( (1 ; 1 / 2) \) y \( (-1 ; 3 / 2) \) Graficar la función e indicar: a) Una fórmula que exprese la situación descripta \( X \) Найдите сумму всех цельх решений совокушности неравенств \( \left[\begin{array}{l}x^{2}-2 x-8 \leq 0, \\ x^{2}-6 x-7>0\end{array}\right. \) на промежутке \( [-12 ; 9] \). 10 If \( x^{2} y^{2}+\frac{1}{4}=x y \), then \( \begin{array}{lll}\text { (a) } x \propto y & \text { (b) } y \propto x & \text { (c) } 2 x \propto 5 y\end{array} \) What is a radical, and how is it expressed mathematically? 11 If \( \frac{a}{2}=\frac{b}{5}=\frac{2 a+b}{k} \), then \( k=\ldots \) What is the value of \( a^0 \) when \( a \neq 0 \)? Which operation would help solve for \( w \) ? \( w \cdot 5=55 \) Choose 1 answer: (a) Multiply each side by 5 . (D) Divide each side by 5 . (c) Multiply each side by 55 . (D) Divide each side by 55 .
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