Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(
1
,
3
)
,
(
−
3
,
−
5
)
(
1
,
3
)
,
(
-
3
,
-
5
)
Equation Form:
x
=
1
,
y
=
3
x
=
1
,
y
=
3
x
=
−
3
,
y
=
−
5
Answer:
x = 5
Step-by-step explanation:
x = 8 - 3
Thus, x = 5
Answer:
f(x)=x2,g(x)=f(3x)=(3x)2=9x2
Now to graph y=9x2. This is a parabola (U-shape), vertex at (0, 0), symmetric around y axis. When x=1/3 or -1/3, then y=1.
Hope this helps! :))
When you have a set of data points and you want to get a model out of it, you do data fitting. The first thing to do is plot the points using a scatter plot type of chart as shown in the picture. I used MS Excel as a tool for data fitting. On the left side of the picture, I used linear fitting. Then, it gives you the linear equation y=0.2907x + 2.2643. It has a correlation coefficient, R^2, of 0.9595. This measures how good your data fits the model equation. The closer it is to 1, the better. However, it is rare to get 1 because that is very ideal. A R^2 of 0.9595 is very satisfactory already. But if you want an even better model, the right side of the picture shows data fitting on a quadratic equation with an equation of y=0.0209x^2 +0.506x+2.0232 with R^2 of 0.9992.