Algebra Questions from Nov 20,2024

Browse the Algebra Q&A Archive for Nov 20,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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\( 2 x^{2}-16 x+40 \) A. \( x-10 \) B. \( x+5 \) c. \( x-5 \) D. \( x+10 \) a) \( x^{2}-2 x-1=0 \) 1) Omar has been training for the Candlewood Footrace. The first week he trained, he ran 7 days and took the same two routes each day: 3 miles around the track before work and a longer route through his neighborhood after work. By the end of the week, Omar had run a total of 63 miles. (1) Which equation can you use to find how many miles, \( x \), Omar ran each day after work? \[ 3 x+7=63 \] \[ \begin{array}{l}7(x+7)=63\end{array} \] \[ \begin{array}{l}7 x+3=63\end{array} \] Apply the FOIL method to find the product of: \( (4y - 1)(2y + 3) \) Solve for \( z \) \( -16=-(z--13) \) 5. Lucas y Pedro son dos vendedores que trabajan en fábricas distintas, que son competencia. A Lucas le pagan \( \$ / .8,50 \) por unidad vendida más un sueldo fijo semanal de \( \$ / .350 \). Por su parte, la competencia le paga a Pedro \( \$ / 11 \) soles por unidad vendida más un sueldo fijo semanal de \( \$ / 280 \). za Cuántas unidades debe vender Pedro para ganar más que Lucas? \begin{tabular}{l} Factorizar 0 descomponer en dos factores: \\ \begin{tabular}{ll} 1. \( a^{4}+a^{2}+1 \) & 11. \( 25 a^{4}+54 a^{2} b^{2}+ \) \\ 2. \( m^{4}+m^{2} n^{2}+n^{4} \) & 12. \( 36 x^{4}-109 x^{2} y^{2} \) \\ 3. \( x^{8}+3 x^{4}+4 \) & 13. \( 81 m^{8}+2 m^{4}+ \) \\ 4. \( a^{4}+2 a^{2}+9 \) & 14. \( c^{4}-45 c^{2}+100 \) \\ 5. \( a^{4}-3 a^{2} b^{2}+b^{4} \) & 15. \( 4 a^{8}-53 a^{4} b^{4}+ \) \\ 6. \( x^{4}-6 x^{2}+1 \) & 16. \( 49+76 n^{2}+64 \) \\ 7. \( 4 a^{4}+3 a^{2} b^{2}+9 b^{4} \) & 17. \( 25 x^{4}-139 x^{2} y^{2} \) \\ 8. \( 4 x^{4}-29 x^{2}+25 \) & 18. \( 49 x^{3}+76 x^{4} y^{4} \) \\ 9. \( x^{8}+4 x^{4} y^{4}+16 y^{8} \) & 19. \( 4-108 x^{2}+12 \) \\ 10. \( 16 m^{4}-25 m^{2} n^{2}+9 n^{4} \) & 20. \( 121 x^{4}-133 x^{2} y \) \\ \hline\end{tabular} \\ \hline\end{tabular} Which of the following polynomials is irreducible over \( \{\mathrm{Q}\} \) ? Select one \( \begin{array}{l}x^{\wedge} 2+2 x+1 \\ x^{\wedge} 2-4 \\ x^{\wedge} 2+1\end{array} \) Solve for \( f \) \[ f-80 \leq-26 \] 1. \( \frac{4}{7} a-\frac{3}{14}=\frac{1}{2 v} \) 2. \( \frac{1}{9} b=\frac{2}{9}+\frac{5}{36} \)
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