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Hogar Banco de preguntas Matemáticas Álgebra Archive 2024 December 08

Algebra Questions from Dec 08,2024

Browse the Algebra Q&A Archive for Dec 08,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Solve the quadratic equation by completing the square and applying the square root property. Write imaginary solutions in the form \( a \pm b i \). \[ m^{2}+6 m+15=0 \] The solution set is \( \{\square\} \). a) If \( a \) is inversly proportional to \( b \xi a=10 \) where \( b=4 \), find the value of \( b \) if \( a=8 \). a. Find the slope of the graph of \( y=-2 x+4 \) Find the value of \( n \) so that the expression is a perfect square trinomial. Then factor the trinomial. Express numbers in simplest form using integers or fractions. \[ y^{2}+7 y+n \] \( c^{2}+14c+n \) \( \begin{array}{l}0.5 x+0.8 y=5.2 \\ 6 x-5 y=4\end{array} \) Select the correct answer below and, if necessary, fill in any answer boxes to complete your choice. A. The solution of the system is \( x=\square \) and \( y=\square \). (Type integers or simplified fractions.) B. There are infinitely many solutions. C. There is no solution. Sistemas de Ecuaciones Lineales: 1. x + 2y = 7 \( 2\sqrt {1-x}>4x^{3}+2 \) An auditorium has 75 rows of seats. The first row contains 90 seats. As you move to the rear of the auditorium, each row has 7 more seats than the previous row. How many seats are in the row 44 ? How many seats are in the auditorium? Solve the following systems of equations by elimination, if a solution exists. \( \left\{\begin{array}{l}5 x=10-10 y \\ 9 x+4 y=6\end{array}\right. \) Aelect the correct choice below and, if necessary, fill in the answer box within your choice. (Tye solution to the system is \( x=\square, y=\square \) B. There are infinitely many solutions. C. There is no solution.
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