2x + 3y = 39 what is this

9 answers

This is a linear equation in the form of standard form. It represents a relationship between two variables, x and y, where 2x + 3y equals 39.
is it function or non function
This equation is not a function because it does not pass the vertical line test. This means that for some values of x, there are multiple corresponding values of y that satisfy the equation.
how about this one y=3xsuare root of 3 + 2
This equation is a function because for every value of x, there is only one corresponding value of y that satisfies the equation. The presence of the square root does not change the fact that this equation represents a function.
is it an liner or non liner
The equation y = 3√3 + 2 is a non-linear equation because it contains a square root term. In contrast to linear equations, non-linear equations do not form straight lines when plotted on a graph.
x y
0 1
1 3
2 9
3 27
4 81
is i an liner function or nonliner function
To determine if a function is linear, we need to check if there is a constant rate of change between the inputs and outputs. In this case, looking at the given data points:

When x increases by 1 (0 to 1, 1 to 2, 2 to 3, 3 to 4), the corresponding y values increase by 2, 6, 18, and 54 respectively.

Since the rate of change is not constant (2, 6, 18, 54), the given function is a non-linear function.