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Home Question Bank Math Archive 2024 November 09

Math Questions from Nov 09,2024

Browse the Math Q&A Archive for Nov 09,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Use synthetic division to find the result when \( x^{4}-x^{3} \pm 4 x^{2}-5 x-3 \) is divided by \( x+1 \). If there is a remainder, express the result in the form \( q(x)+\frac{r(x)}{b(x)} \). Answer Attempt 1 out of 2 Submit Answer Pasar a ecuación general de la elipse \( \frac{x^{2}}{25}+\frac{y^{2}}{16}=1 \) 31. Considere os conjuntos: \( \begin{aligned} \mathrm{K} & =\text { conjunto dos quadriláteros planos } \\ \mathrm{P} & =\{\mathrm{x} \in \mathrm{K} \mid \mathrm{x} \text { tem lados } 2 \text { a } 2 \text { paralelos }\} \\ \mathrm{L} & =\{\mathrm{x} \in \mathrm{K} \mid \mathrm{x} \text { tem } 4 \text { lados congruentes }\} \\ \mathrm{R} & =\{\mathrm{x} \in \mathrm{K} \mid \mathrm{x} \text { tem } 4 \text { ângulos retos }\} \\ \mathrm{Q} & =\{\mathrm{x} \in \mathrm{K} \mid \mathrm{x} \text { tem } 4 \text { lados congruentes e } 2 \text { ângulos retos }\}\end{aligned} \) Use synthetic division to find the result when \( 4 x^{4}+25 x^{3}+2 x^{2}-25 x-8 \) is divided by \( x+6 \). If there is a remainder, express the result in the form \( q(x)+\frac{r(x)}{b(x)} \) \( 2\times ^{3}+4x-2x^{2}+4x^{2}-5x^{3}+5x-3x^{2} \) Question Use synthetic division to find the result when \( 3 x^{3}+14 x^{2}-10 x-28 \) is divided by \( x+5 \). If there is a remainder, express the result in the form \( q(x)+\frac{r(x)}{b(x)} \) Answer Attempt 1 out of 2 4. Hallar las ecuaciones de las parábolas que verifican: a) su directriz es \( y=-6 \) y su foco \( (0 ; 6) \) b) su vértice \( (2,0) \) y su foco \( (6,0) \) Los focos de la elipse \( \frac{(x-4)^{2}}{225}+\frac{(y-4)^{2}}{81}=1 \) son: \( \begin{array}{ll}\text { A) }(-11,4),(19,4) & \text { B) }(-8,4),(16,4) \\ \text { C) }(4,-8),(4,16) & \text { D) }(-5,4),(13,4)\end{array} \) Solve graphically \( |-4+2 x|-6=8 \) Un jeu consiste à lancer en l'air une pièce de monnaie pour gagner un prix en argent. Si la pièce retombe sur PILE, on reçoit une enveloppe contenant un billet de \( 5 \$ \), de \( 10 \$ \) ou de \( 20 \$ \). Si la pièce retombe sur FACE, on reçoit une enveloppe contenant un billet de \( 50 \$ \) ou de \( 100 \$ \). a) Représenter les résultats de cette expérience aléatoire à l'aide d'un diagramme en arbre.
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