devyy Converting a mixed number into an improper fraction is a straightforward process, and once you understand the steps, you’ll find it easy to do! A mixed number consists of a whole number and a proper fraction. For example, in the mixed number 2 1/3, the whole number is 2, and the proper fraction is 1/3. … Read more
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