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Understanding the Implications of fx when xm = 92 To explore the truth about the function fx when xm = 92, we need to break down the components of this expression and consider the function’s behavior under such conditions. 1. Definition of the Function fx Before we can make any statements about fx, it’s essential … Read more

A rational number is defined as any number that can be expressed as the ratio of two integers, where the numerator is an integer and the denominator is a non-zero integer. This can be represented in the mathematical form of p/q, where p and q are integers and q ≠ 0. For example, the number … Read more

To calculate 3 percent of 100,000, you can follow a simple mathematical formula. Percentages are a way of expressing a number as a fraction of 100. Therefore, 3 percent means 3 out of every 100. To find out what 3 percent of 100,000 is, you can use the formula: Percentage Value = (Percentage / 100) … Read more

A square prism and a cube are related shapes, but they are not the same thing. Let’s break down the definitions to understand their differences. A cube is a specific type of prism that has all its faces as squares. This means that a cube has equal edge lengths, and each of its angles is … Read more

To find the 12th partial sum of the summation of the series defined by the formula -2i – 10 for i = 1 to 12, you need to follow these steps: Understand the Formula: The general term of the series is given by -2i – 10. This means that for each integer value of i, … Read more

The first step to finding the first six terms of a sequence defined by a recurrence relation is to identify the recurrence relation itself, initial terms, and to use these to calculate subsequent terms. The recurrence relation given is: a(n) = 4a(n-1) + 2a(n-2) We also have the initial terms: a(0) = 1 a(1) = … Read more

To convert Cartesian coordinates (x, y) to polar coordinates (r, θ), you need to understand how these two coordinate systems relate to each other. 1. **Calculate the Radius (r)**: The radius is the distance from the origin (0, 0) to the point (x, y). It is calculated using the Pythagorean theorem: r = √(x2 + … Read more

To determine the cost price of the article, we can use the formula for calculating cost price when the selling price and profit percentage are known. The formula is given by: Cost Price (CP) = Selling Price (SP) / (1 + Profit Percentage) In this scenario, the selling price (SP) is Rs. 495 and the … Read more

Precalculus is a mathematical course or set of concepts that serves as a foundation for calculus. It combines principles from algebra and trigonometry, preparing students for the challenges they will encounter in a full calculus course. More specifically, precalculus covers a variety of topics, including: Functions: Understanding the different types of functions (linear, quadratic, polynomial, … Read more