Algebra Questions from Nov 16,2024

Browse the Algebra Q&A Archive for Nov 16,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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3. Ordena el polinomio de manera descendente \( -3 p 4 q+p q 4+4 p 5 q 2-8 p 2 q 3 \) respecto a la letra \( q \) (5) \( 5 x^{2}-6 x+8-2 x^{2}+11 x-5 \) \( 5 x^{2}-2 x^{2}-6 x+11 x+8-5 \) Resolver los siguientes ejercicios aplicativos, usando los sistemas de ecuaciones lineales 2kz. Resolver de formis algebraica. En un garaje hay motos y coches, pero no se sabe cuântos hay de cada tipo. \( 5 i \) el total de coches que hay en el garaje es 4000 y el de ruedas (sin la de repuesto) es 13000 , ¿Cuántas motos y cuántos coches hay? \( \left[2\left(x^{2} \times x^{3}\right)^{2}\right]^{3} \) 9. What is the answer in simplest form? A \( 2 x^{10} \) B \( 4 x^{15} \) C \( 6 x^{36} \) D \( 8 x^{30} \) 21. How many gencrators can a cyclic group of order 1 22. Oive the generators of \( z_{12}, z_{15}, z_{23} \) ? (c) A teacher is organising a day trip to a museum. The total cost of entry for the students to (i) By letting \( x \) equal the number of students in the class, write an expression to represent the cost of the trip per student. (ii) If two students decided not to go to the museum. the total cost of entry would be \( € 70 \). Write an expression for the new cost per student. (iii) The cost of entry per student in this case would be increased by \( \in \mathrm{l} \). Write an equation to represent the above information and hence solve this equation to find the number of students who were originally meant to go on the trip. \( a y ^ { 2 } + 74 y + 49 \) (2) Ressellog lo envacion cuadratica \( 2 x^{2}-46 x+16 \) (2) Resselve la evvación cuadratica. \( 2 x^{2}-46 x+16 \) a) \( \frac{\left(8 s^{3} t^{3}\right)^{2 / 3}}{\left(s^{4} t^{-8}\right)^{1 / 4}} \)
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