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Home Question Bank Math Algebra Archive 2024 November 06

Algebra Questions from Nov 06,2024

Browse the Algebra Q&A Archive for Nov 06,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Solve the equation by completing the square. \( \begin{array}{l}x^{2}+6 x+41=0 \\ x=-3 \pm 4 i \sqrt{2} \\ x=-3 \pm i \sqrt{41} \\ x=3 \pm 4 i \sqrt{2} \\ x=3 \pm i \sqrt{41}\end{array} \) 12. \( \left\{\begin{array}{l}2 x-3 y=-24 \\ x+6 y=18\end{array}\right. \) A) \( 6 E-2 P+F=-40 \) B) \( 6 E+3 P+F=-45 \) C) \( 3 E+2 P+F=-13 \) Solve the equation by completing the square. \( \begin{array}{l}x^{2}+6 x+41=0 \\ x=-3 \pm 4 i \sqrt{2} \\ x=-3 \pm i \sqrt{41} \\ x=3 \pm 4 i \sqrt{2} \\ x=3 \pm i \sqrt{41}\end{array} \) ¿Cuál es la solución de la siguiente inecuación \( 2^{\wedge}(x+3)+4^{\wedge}(x+1)-320=0 \) ? \( \square \) a. \( \{-10 ; 8\} \) \( \square \) b. \( \{8\} \) \( \square \) c. \( \{3\} \) \( \square \) d. \( \{5\} \) 7 Найдите значение выражения \( 4 x+\sqrt{16 x^{2}-56 x+49} \) при \( x=-1122 \). Ответ: A line has a slope of \( \frac{2}{5} \) and passes through the point \( (-5,18) \). Write its equation in slope- intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form. Hallar la solución de \( a^{3 x+5}-a^{2 x}>0 \), si \( 0<a<1 \) \( \square \) a. \( (-\infty ;-5) \) \( \square \) b. \( (-\infty ; 5) \) \( \square \) c. \( (-5 ; \infty) \) \( \square \) d. \( (5 ; \infty) \) Find the slope, if it exists, of the line containing the pair of points. \( (-17.3,8.6) \) and \( (-17.1,5.5) \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope is \( \square \). (Simplify your answer. Type an integer or a fraction.) B. The slope is undefined. Find the slope of the line containing the given pair of points. \( (4,-7) \) and \( (15,-1) \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope is \( m=\square \). (Simplify your answer.) B. The slope is undefined.
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