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Hogar Banco de preguntas Matemáticas Precálculo Archive 2024 November 14

Pre-calculus Questions from Nov 14,2024

Browse the Pre-calculus Q&A Archive for Nov 14,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Two laptops are available for purchase. The cost of the silver laptop can be modeled with the function \( f(t)=3,000(0.85)^{t} \), and the cost of the black laptop can be modeled with the function \( g(t)=3,500(0.7)^{t} \), where \( t \) is the tim in years. Your parents will help you buy the less expensive laptop, but you must choose within the next 2 years. Which statement below best represents the outcome? - You buy the silver laptop. - You buy the black laptop. - Both laptops cost the same amount. Example 1: You are considering two used phones for purchase. The cost of the first phone can be modeled with the function \( f(t)=1,500(0.8)^{t} \), and the cost of the second phone can be modeled with the function \( g(t)=2,000(0.6)^{t} \), where \( t \) is the time in years. Your budget is limited, and you plan to buy the less expensive phone in the next 3 years. Which statement below best represents the outcome? - You buy the first phone. - You buy the second phone. - Both phones cost the same amount. 19. Under ideal conditions, a population of rabbits has an exponential growth rate of \( 11.7 \% \) per day. Consider an initial population of 100 rabbits. How long before we have 500? 7. The number of pages in the IRS Tax Code has followed the function \( T(n)=400(1.055)^{n} \), where \( n \) is the number of years since 1913. Based on this, predict the number of pages in the tax code in 2015 . 63-68 - Encuentre el dominio de la función. .63. \( f(x)=\log _{10}(x+3) \) 65. \( g(x)=\log _{3}\left(x^{2}-1\right) \) 67. \( h(x)=\ln x+\ln (2-x) \) 53-62 - Grafique la función, no al localizar puntos sino empezando de las gráficas de las Figuras 4 y 9. Exprese el dominio, rango y asintota. 59. \( y=1-\log _{10} x \) \( \left(x+\frac{\pi}{4}\right)-\cos x=0 \) em \( [-\pi, \pi[ \) 53-62 : Grafique la función, no al localizar puntos sino empezando de las gráficas de las Figuras 4 y 9 . Exprese el dominio, rango \( y \) asíntota. .53. \( f(x)=\log _{2}(x-4) \) .55. \( g(x)=\log _{5}(-x) \) .57. \( y=2+\log _{3} x \) 59. \( y=1-\log _{10} x \) 61. \( y=|\ln x| \) The domain is all real numbers, and the range is \( y \leq 0 \). The domain is \( x>0 \), and the range is all real numbers. The domain and range are all real numbers. The domain is \( x<0 \), and the range is \( y>0 \). Dado el conjunto \( S=\{x \in R|\log | x-1 \mid<1\} * \) Determine \( S \cap([0,2] \cup[12,20]) \)
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