Answer:
First choice.
Step-by-step explanation:
You could plug in the choices to see which would make all the 3 equations true.
Let's start with (x=2,y=-6,z=1):
2x+y-z=-3
2(2)+-6-1=-3
4-6-1=-3
-2-1=-3
-3=-3 is true so the first choice satisfies the first equation.
5x-2y+2z=24
5(2)-2(-6)+2(1)=24
10+12+2=24
24=24 is true so the first choice satisfies the second equation.
3x-z=5
3(2)-1=5
6-1=5
5=5 is true so the first choice satisfies the third equation.
We don't have to go any further since we found the solution.
---------Another way.
Multiply the first equation by 2 and add equation 1 and equation 2 together.
2(2x+y-z=-3)
4x+2y-2z=-6 is the first equation multiplied by 2.
5x-2y+2z=24
----------------------Add the equations together:
9x+0+0=18
9x=18
Divide both sides by 9:
x=18/9
x=2
Using the third equation along with x=2 we can find z.
3x-z=5 with x=2:
3(2)-z=5
6-z=5
Add z on both sides:
6=5+z
Subtract 5 on both sides:
1=z
Now using the first equation along with 2x+y-z=-3 with x=2 and z=1:
2(2)+y-1=-3
4+y-1=-3
3+y=-3
Subtract 3 on both sides:
y=-6
So the solution is (x=2,y=-6,z=1).
The function f(g(2)) is an illustration of a composite function
The value of f(g(2)) is 2
<h3>How to determine the value of the function f(g(2))?</h3>
Given:
The table of values for functions f(x) and g(x)
To calculate f(g(2)), we start by calculating g(2)
From the table;
g(2) = 6
So, we have:
f(g(2)) = f(6)
From the table;
f(6) = 2
So, we have:
f(g(2)) = 2
Hence, the value of f(g(2)) is 2
Read more about composite functions at:
brainly.com/question/10687170
Answer:
Table 4
Step-by-step explanation:
Did it on Edgenuity 2020
C, E, and F have 50 50 chance
Answer:
Outliers are often extreme values that are not as representative of the data set as the other points in the cluster. If the outliers are included, a description of the data set might be misrepresented.
Step-by-step explanation:
