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Does the equation x plus y equals 41 define y as a function of x?
Both. If you look at it like this: y=41-x you say x is independent and y is dependent of x (i.e. y is a function of x) For x=41-y you say y is independent and x is dependent of y (i.e. x is a function of y)
What is x in y equals mx plus b?
The x in y=mx+b is the independent variable. You could solve for x, making this a function of y, with simple algebra. y = mx + b y - b = mx (y-b)/m = x
Coefficient of regration x on y?
Conventionally, the dependent variable is denoted by y, the independent variable(s) by x; and the regression is of y on x. The coefficient of regression of x on y is a measure of the degree to which variations in y are reflected by variations in x. This does not mean that changes in y cause changes in x since both could be affected by something else entirely.
What is the derivative of x divided by y?
Well, isn't that a happy little question! To find the derivative of x divided by y, you can use the quotient rule. The derivative will be (y * d/dx(x) - x * d/dx(y)) / (y^2). Just remember, there are no mistakes, just happy little accidents in math!
What is the answer to X if 7x plus 3y equals 14?
It is not possible to solve one equation in two unknowns (x and y). Two independent equations are required.
