The quantity y is partly constant & partly varies inversely as the square of x
y = c + 1/x^2
or, more generally,
y = a + b/x^2
To understand this situation, let's break it down.
A quantity is said to be partly constant and partly varies inversely as the square of another quantity.
Let's call the quantity that is partly constant "a" and the quantity that varies inversely as the square of x "b."
Based on the given information, we can write the following equation:
y = a + k/b^2
Here, "k" represents a constant of proportionality.
This equation shows that "y" is composed of two parts. The first part, "a," is constant and does not depend on the value of x. The second part, "k/b^2," varies inversely with the square of x. By inversely, we mean that as x increases, b decreases, and vice versa.
To find the value of y for a specific value of x, you would need to know the constant term "a" and the constant of proportionality "k." Additionally, you would need to determine the value of "b" by solving equations or using given data.
In summary, the quantity y is partly constant and partly varies inversely as the square of x. This relationship can be represented by the equation y = a + k/b^2, where "a" is constant, and "k" is the constant of proportionality. To find the value of y, you would need to determine the values of a, k, and compute the value of b based on the given data or equations.