Finding the Value of x To solve the equation 92x + 9x = 18, we will first combine like terms on the left side of the equation. 1. **Combine Like Terms**: We have: 92x + 9x = 101x So the equation simplifies to: 101x = 18 2. **Isolate x**: To isolate x, we need to … Read more
The algebraic expression 3x + 7 – 10 can be simplified and interpreted in various ways. First, let’s combine the constant terms: 1. Simplifying the expression: Start with: 3x + 7 – 10 Combine the constants: 7 – 10 = -3 This simplifies to: 3x – 3 This expression can represent different phrases depending on … Read more
The function f(x) = x² + 3 is a quadratic function, where the term x² indicates that it is a parabola. Let’s explore how to find its range step by step. 1. **Understand the Parabola’s Shape**: The graph of the function is a parabola that opens upwards because the coefficient of x² is positive. 2. … Read more
The relationship between a semicircle and the diameter of a circle is fundamental to understanding the geometry of circles. A semicircle is defined as half of a circle, and it is formed when you take a diameter of the circle and rotate it around one of the endpoints. This means that the diameter serves as … Read more
A complex number is a number that can be expressed in the form a + bi, where a is the real part, b is the imaginary part, and i is the imaginary unit, which is defined as the square root of -1. The ‘real part’ (a) represents a point on the standard number line, while … Read more
To completely factor the expression 49x² + 81 + 7x + 92 + 7x + 92 + 7x + 97x + 9 + 7x + 9, we first need to simplify it. 1. **Combine like terms**: The expression has several x terms and constant terms that can be combined. Combine the x terms: 7x + … Read more
To solve the quadratic equation x² + 5x + 3 = 0, we can use the quadratic formula, which is given by: x = (-b ± √(b² – 4ac)) / 2a In our equation, the coefficients are: a = 1 (the coefficient of x²) b = 5 (the coefficient of x) c = 3 (the … Read more
To calculate the future value of a deposit using simple interest, we can use the formula: Future Value (FV) = Principal + Interest Where: Principal: This is the original amount of money deposited, which in this case is $10,000. Interest: This is calculated using the formula Interest = Principal × Rate × Time. In our … Read more
The branch of statistics that deals with organizing, displaying, and describing data is called Descriptive Statistics. Descriptive statistics is essential in the field of data analysis, enabling researchers and analysts to summarize large amounts of data in a manageable format. This branch of statistics serves as a foundation for understanding and interpreting data through various … Read more