The ordered pair of the given equation will be ( 3, 6 ) and ( -3, 18).
<h3>What is a function?</h3>
A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The given functions are:-
F(x) =x²-2x+3
F(x) = -2x + 12
When we plot the graph of the function we will see that the line -2x +12 cut the parabola at points ( -3, 18 ) and ( 3, 6 ) so these are the ordered pairs of the two functions. The graph of the functions is also attached with the answer.
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Yes.??? dont really Know sorry
The line is positive because it is going upwards. The y-intercept is positive 3. It can be found by seeing where the line intercepts the y-axis. The slope of the line is 2 and it can be found by using "rise over run."
(I saw the image on another question you had asked. Have a nice day!)
The solution depends on the value of
. To make things simple, assume
. The homogeneous part of the equation is
and has characteristic equation
which admits the characteristic solution
.
For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be
. Then
So you have
This means
and so the general solution would be
