Since x can be any value as long as the denominator equals 0 (it doesn't matter if it's positive or negative), we have to figure out when x^2=0, which is when x=0. Therefore, the domain is (-inf, 0) U (0, inf)
The tool I used for modellin is MS Excel. As you on the left side of the picture, I tabulate the x and y coordinates with respect to their columns. Then, I plotted it using the scatter plot graph. In this type of graph, only plots are drawn on the Cartesian plane. Next, I created a trendline as represented by the blue dashed line. There are options to the degree of your trendline: linear, polynomial or exponential. The closes fit is the polynomial with a degree of 2. An option is listed there in displaying the equation. The equation modelled by regression through data fitting is:
y = x² - 4x+1
Answer:
2/1
Step-by-step explanation:
x1=1 ,y1=3
x2=2 , y2=5
then
m= 5-3/2-1= 2/1
Answer:
(-2,-1,-3)
Step-by-step explanation:
5x-4y-3z=3
x+y-z=0
x=3y+1
Multiply the second equation by -3
-3(x+y-z)=0*3
-3x-3y+3z =0
Add this to the first equation to eliminate z
5x-4y-3z=3
-3x-3y+3z =0
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2x-7y =3
Substitute x =3y+1 into the above equation
2(3y+1) -7y=3
Distribute the 2
6y +2 -7y = 3
Combine like terms
-y+2 =3
Subtract 2 from each side
-y+2-2 = 3-2
-y = 1
Multiply by -1
-y*-1 = 1*-1
y =-1
We need to find x
x=3y+1
x =3(-1) +1
x =-3+1
x= -2
Now we need to find z
x+y-z=0
-2+-1-z=0
-3-z=0
Add z to each side
-3-z+z=0+z
-3=z
x=-2, y=-1 z=-3
(-2,-1,-3)
Answer:
20
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
f(x) + g(x) = 3x² - 2 + 4x + 2 = 3x² + 4x
Substitute x = 2 into f(x) + g(x)
(f + g)(2) = 3(2)² + 4(2) = (3 × 4) + 8 = 12 + 8 = 20
