Question

Use numerals instead of words. if necessary, use / for the fraction bar(s). the function, f(x), describes the height of a dome on top of a building, where f(x) is the height from the base of the dome and x is the horizontal distance from where the dome meets the building. a building with a dome on top of it. the dome is labeled as f of x. the domain of the function is ≤ x ≤ .

Answer 1

The height of the dome is represented by a function f(x) which is constant between x=0 and x=20, indicating that the dome has a uniform height over this horizontal distance. Mathematical relationships and probabilities are also expressed using functions and equations in continuous distributions.

Step-by-step explanation:

The question asks us to define the function f(x) that describes the height of a dome on top of a building, with x as the horizontal distance from the point where the dome meets the building. The domain is given as 0 ≤ x ≤ 20, and the function is described as a horizontal line, so f(x) is a constant value for any x in this domain. This constant can be represented using numerals instead of words, and if we had a specific height for the dome, it would be expressed as such: for example, f(x) = 15 for all x in the domain. Further, the relationship between variables seen in buildings can be expressed using the formula X = Y x 2 + 1, which is a mathematical representation of architectural proportions. Also, understanding probabilities in continuous distributions involves calculating the area under a probability density function (PDF), where PROBABILITY = AREA. Functions and expressions in algebra, such as x² = √x, play a crucial role in these calculations.