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Home Question Bank Math Archive 2025 January 13

Math Questions from Jan 13,2025

Browse the Math Q&A Archive for Jan 13,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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For \( k(q)=\frac{q^{2}}{2 q^{2}+3 q-27} \) (a) Write the domain in set-builder notation, (b) Write the domain in interval notation, Express numbers as integers or simplified fractions, Part: \( 0 / 2 \) Part 1 of 2 (a) Write the domain in set-builder notation. OThe domain is the empty set, The domain written in set-builder notation is \( \{q \mid q \) is a real number \( \} \) \( \{q \mid q \) is a real number and Divide the fractions. \( \frac{15}{22} \div \frac{21}{10} \) \( \frac{15}{22} \div \frac{21}{10}=\square \) (Type an integer or a simplified fraction.) 14 Recopie et complète des égalités ci-dessous par les fractions irréductibles qui conviennent. \( \begin{array}{l}\text { a) } \frac{9}{7}-\frac{1}{7} \text {; b) } 1-\frac{\cdots}{\cdots}=\frac{3}{5} \text {; c) } \frac{\cdots}{\cdots}-\frac{5}{8}=\frac{11}{24} \\ \text { d) } \frac{\cdots}{\cdots}-\frac{3}{5}=\frac{23}{15} \text {; e) } \frac{9 \times \cdots}{24}-\frac{\cdots}{42}=\frac{23}{}\end{array} \) 13 Un sac contient 5 boules blanches, 4 boules vertes et 3 boules rouges. 1. Détermine le nombre de manières de tirer en même temps 3 boules de même couleur. 2. Détermine le nombre de manières de tirer en même temps 3 boules de couleurs différentes deux à deux. 3. Détermine le nombre de manières de tirer en même temps 3 boules de couleurs différentes. Find the equation of a plane through the points \( (2,1,2),(6,-6,-2) ;(4,6,3) \). Question Help: \( \square \) Video Divide the fractions. \( \frac{88}{65} \div \frac{72}{143} \) \( \frac{88}{65} \div \frac{72}{143}=\square \) (Type an integer or a simplified fraction.) Find the equation of the plane containing the point \( (-1,-4,-8) \) and parallel to the plane \( 7 x-6 y-7 z=0 \). \( 6^{3} y^{3} 3 y^{2} 6^{2} \) y \( 5 y^{3} \) Divide. \( \frac{10}{4} \div \frac{5}{9} \) \( \frac{10}{4} \div \frac{5}{9}=\square \) (Type an integer or a simplified fraction.) For \( h(t)=\frac{t+1}{t-5} \) (a) Write the domain in set-builder notation. (b) Write the domain in interval notation. Express numbers as integers or simplified fractions. Part: \( \mathbf{0} / \mathbf{2} \) Part 1 of 2 (a) Write the domain in set-builder notation. The domain is the empty set. The domain in set-builder notation is \( \{t \mid t \) is a real number \( \} \) \( \{t \mid t \) is a real number and
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