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Home Question Bank Math Algebra Archive 2024 November 07

Algebra Questions from Nov 07,2024

Browse the Algebra Q&A Archive for Nov 07,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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b) \( (-4)^{3}+\sqrt{+81} \cdot(-3)-(-48):(+4 \) \[ \left\{\begin{array}{l}3 x+2 y=7 \\ 4 x+7 y=18\end{array}\right. \] 8. Determine el valor del determinante de x . a. 1 b. 2 c. 3 d. 6 9. Determine el valor del determinante de y . a. 1 b. 2 Given that \( \left(x^{2}+k x-1\right)\left(-x^{2}+x+2\right)=a x^{4}+a x^{2}+c x+d \), where \( a_{1}, b, c, d \) are constants. Find the value of \( k \). \( \begin{array}{llll}\text { A }-3 & \text { B }-1 & \text { C } 1 & \text { D } 3\end{array} \) [CONFIDENTIAL】 - 180 Determina \( a \) in modo che il grafico della funzione di equazione \( y=2 a x-a+5 \) intersechi l'asse \( x \) in un pu di ascissa maggiore di 1 e l'asse \( y \) in un punto di ordinata maggiore di 8 . Use the Rational Zero Theorem to list all possible rational zeros for the given function. \( f(x)=-3 x^{4}+13 x^{3}-12 x^{2}+7 x+6 \) Choose the answer below that lists all possible rational zeros. A. \( -1,1,-3,3,-\frac{1}{2}, \frac{1}{2},-\frac{1}{6}, \frac{1}{6},-\frac{1}{3}, \frac{1}{3},-\frac{3}{2}, \frac{3}{2} \) B. \( -1,1,-2,2,-3,3,-6,6,-\frac{1}{2}, \frac{1}{2},-\frac{1}{3}, \frac{1}{3},-\frac{1}{6}, \frac{1}{6} \) \( -1,1,-2,2,-3,3,-6,6,-\frac{1}{3}, \frac{1}{3},-\frac{2}{3}, \frac{2}{3} \) C. \( -1,1,-2,2,-3,3,-6,6,-\frac{1}{2}, \frac{1}{2},-\frac{1}{6}, \frac{1}{6},-\frac{1}{3}, \frac{1}{3},-\frac{2}{3}, \frac{2}{3},-\frac{3}{2}, \frac{3}{2} \) Find \( x \) if \( \log _{3} 9=x \) 2 27 \( \sqrt[3]{9} \) 3 \[ \left\{\begin{array}{l}3 x+2 y=7 \\ 4 x+7 y=18\end{array}\right. \] 5. El anterior es un sistema de: a. Ecuaciones cuadráticas b. Ecuaciones lineales \( 2 \times 2 \) c. Ecuaciones lineales \( 2+2 \) d. Ecuaciones cuadráticas \( 2 \times 2 \) 6. Es un método de solución de sistemas de ecuaciones lineales, excepto: a. Método Gráfico b. Método lgualación c. Método de Cramer d. Método de Cualitativo 7. Usando el método Cramer determine el valor del determinante del sistema. a. 1 b. 2 c. 6 d. 13 Question 10 of 10 What can you say about the \( y \)-values of the two functions \( f(x)=3^{x}-3 \) and \( g(x)=7 x^{2}-3 \) ? \( \square \) A. The minimum \( y \)-value of \( f(x) \) is -3. B. The minimum \( y \)-value of \( g(x) \) is -3. C. \( g(x) \) has the smallest possible \( y \)-value. D. \( f(x) \) has the smallest possible \( y \)-value. Wanda's Well Drilling charges \( \$ 30.00 \) a foot to drill a well. Assuming they charge the same rate per foot regardless of the depth of the well drilled, how deep of a well could be drilled for \( \$ 2,220.00 \) ? Translate to a proportion: You can drill a Line \( p \) has an equation of \( y=-\frac{5}{6} x-5 \). Line \( q \) includes the point \( (9,-4) \) and is paraliel to line p. What is the equation of line \( q \) ? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
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