answer:If the pair of articles was bought for 50 at a discount of 10%, we first need to find the original marked price before the discount was applied. Let's denote the marked price as ( P ). The discount is 10% of the marked price, so the discount amount is ( 0.10 times P ). The price after the discount is the marked price minus the discount amount, which is ( P - 0.10P ). We know that the price after the discount is 50, so we can set up the equation: ( P - 0.10P = 50 ) Simplifying the equation: ( 0.90P = 50 ) Now, we solve for ( P ): ( P = frac{50}{0.90} ) ( P = frac{500}{9} ) ( P = 55.56 ) (rounded to two decimal places) So, the marked price for the pair of articles is 55.56. Since the question asks for the marked price of each of the articles and we have the total marked price for the pair, we need to divide this amount by 2 to find the marked price of each article: ( frac{55.56}{2} = 27.78 ) Therefore, the marked price of each article is boxed{27.78} (rounded to two decimal places).

answer:(1) Solving the system of equations begin{cases} 2x-3y+1=0 x+y-2=0 end{cases} , we get begin{cases} x=1 y=1 end{cases} . Thus, the coordinates of point P are (1,1). (2) The slope of line l_2 is -1. Since l is perpendicular to l_2, the slope of line l is 1. Using the point-slope form, we find the equation of line l to be y-1=x-1, or x-y=0. Therefore, the final answers are: - The coordinates of point P are boxed{(1,1)}. - The equation of line l is boxed{x-y=0}.

answer:To stay focused on customers in a rapidly evolving industry, a company could prioritize building a culture of customer obsession, where every decision and innovation is guided by a deep understanding of customer needs and pain points. This could involve creating a dedicated customer insights team that continuously gathers feedback through various channels, such as social media, surveys, and direct conversations. Embracing an agile and adaptive approach to product development would also be crucial, allowing the company to quickly respond to changing customer needs and technological advancements. This could involve adopting a mindset of continuous iteration and experimentation, where new ideas are tested and refined in close collaboration with customers. Another approach would be to establish strategic partnerships with startups and innovative companies, enabling the business to leverage the latest technologies and stay ahead of the curve while maintaining a customer-centric focus. By co-creating solutions with customers and partners, the company can ensure that its innovations are tailored to meet real-world needs and preferences. Moreover, empowering employees to make customer-centric decisions and providing them with the necessary training and tools to stay up-to-date with industry trends would help to foster a customer-focused mindset across the organization. This could involve democratizing access to customer data and insights, allowing employees to develop a deeper understanding of customer behavior and preferences. By combining these approaches, a company can maintain a relentless focus on customers even in the face of rapid industry change, driving innovation that is guided by a deep understanding of customer needs and aspirations.

answer:In an industry where products or services require deep technical knowledge to be used effectively, a business could take a more consultative and educational approach to interacting with customers. This might involve providing access to technical experts who can offer personalized guidance and support, helping customers to get the most out of the products or services. The business could also develop a range of educational resources, such as webinars, tutorials, and workshops, designed to empower customers with the knowledge they need to use the products or services effectively. These resources could be tailored to different levels of technical expertise, ensuring that customers can learn at their own pace and in a way that suits their individual needs. Another approach would be to create online communities and forums where customers can connect with each other, share their experiences, and learn from one another. This could help to foster a sense of peer-to-peer support and collaboration, with customers able to tap into the collective knowledge and expertise of the community. To further enhance the customer experience, the business could also consider offering customized onboarding programs, which provide personalized support and guidance to help customers get up and running with new products or services. This could involve dedicated account managers or customer success teams, who work closely with customers to understand their specific needs and goals. In addition, the business could explore the use of emerging technologies, such as AI-powered chatbots and virtual reality training tools, to provide customers with immersive and interactive learning experiences. By leveraging these technologies, the business can help customers develop a deeper understanding of complex technical concepts and products, ultimately driving greater adoption and satisfaction. By taking a more consultative and educational approach to customer interaction, a business can build trust and credibility with its customers, even in industries where products or services require deep technical knowledge to be used effectively. This can lead to stronger relationships, increased loyalty, and ultimately, long-term growth and success.