To find the coefficient of x in the division of the polynomial expression, we first need to clarify the operation. It appears that you are interested in dividing the polynomial expression 18×3 by the polynomial 12×2 + 3x + 6×2. 1. **Combine like terms** in the denominator: 12×2 and 6×2 combine to give 18×2. So … Read more
To calculate the percentage increase from 60 to 75, you can use the following formula: Percentage Increase = ((New Value – Old Value) / Old Value) × 100 In this case, the old value is 60 and the new value is 75. Plugging these numbers into the formula gives us: Percentage Increase = ((75 – … Read more
Let’s break down the scenario: a man who is 6 feet tall is walking away from a light located 15 feet high above the ground at a speed of 5 feet per second. To understand the relationship between the distance he walks and the light’s height, we can use some basic geometry and trigonometry. 1. … Read more
To calculate the future value of a deposit with simple interest, we can use the formula: Future Value (FV) = Principal Amount (P) + Interest (I) Where: Principal Amount (P): This is the initial amount of money deposited, which in this case is $10,000. Interest (I): This is calculated using the formula I = P … Read more
To verify that g(x) is the inverse of f(x), we need to check two key conditions. In general, if g is the inverse of f, then the following two equations must hold: f(g(x)) = x g(f(x)) = x Let’s calculate each of these: 1. Checking f(g(x)) First, we will substitute g(x) into f: f(g(x)) = … Read more
The function y = 2sin(x) is a transformation of the basic sine function, which has a known range. To understand the range of this function, let’s first recall a couple of key points about the sine function: The basic sine function, sin(x), has a range of [-1, 1]. This means that the function sin(x) will … Read more
The term ‘MABC’ refers to a specific series of products or grades that are part of a broader category. In the context of MABC 60, MABC 67, MABC 120, and MABC 127, these numbers typically denote varying properties and specifications of materials or products that play a significant role in their respective applications. MABC 60 … Read more
To find the four consecutive odd integers that sum up to 216, let’s denote the first odd integer as x. The next three consecutive odd integers can then be expressed as: First integer: x Second integer: x + 2 Third integer: x + 4 Fourth integer: x + 6 Now, we’ll set up an equation … Read more