Answer:
x = -0.6
y = 2.2
z = 2
Step-by-step explanation:
2x + y - 2z = -3
x + 3y - z = 4
3x + 4y - z = 5
Rewrite the system in matrix form and solve it by Gaussian Elimination (Gauss-Jordan elimination)
2 1 -2 -3
1 3 -1 4
3 4 -1 5
R1 / 2 → R1 (divide the 1 row by 2)
1 0.5 -1 -1.5
1 3 -1 4
3 4 -1 5
R2 - 1 R1 → R2 (multiply 1 row by 1 and subtract it from 2 row); R3 - 3 R1 → R3 (multiply 1 row by 3 and subtract it from 3 row)
1 0.5 -1 -1.5
0 2.5 0 5.5
0 2.5 2 9.5
R2 / 2.5 → R2 (divide the 2 row by 2.5)
1 0.5 -1 -1.5
0 1 0 2.2
0 2.5 2 9.5
R1 - 0.5 R2 → R1 (multiply 2 row by 0.5 and subtract it from 1 row); R3 - 2.5 R2 → R3 (multiply 2 row by 2.5 and subtract it from 3 row)
1 0 -1 -2.6
0 1 0 2.2
0 0 2 4
R3 / 2 → R3 (divide the 3 row by 2)
1 0 -1 -2.6
0 1 0 2.2
0 0 1 2
R1 + 1 R3 → R1 (multiply 3 row by 1 and add it to 1 row)
1 0 0 -0.6
0 1 0 2.2
0 0 1 2
x = -0.6
y = 2.2
z = 2
Oscar played games vs number of points he scored is, C) positive, linear association.
Step-by-step explanation:
- no association is when points Oscar graph will remain between 8to10.
- number of games he scored his points remain the same which is mean.
- non linear is only when there is no straight line passing.
- Linear is either exponential or polynomial.
- Positive as the game increase he scoring abilities increases.
- Negative as the game increases his scoring decreases.
- Negative x axis will have more number of points.
- Negative y axis will high to low of the graph.
- Linear lines are best way to predict a data doesn't work will all data.
Answer:
(3,2)
Step-by-step explanation:
Here's your given:
y = 4x - 10
y = 2
Because they both equal y, that means they equal each other:
2 = 4x - 10
Add 10 on both sides:
12 = 4x
Then, divide 4 on both sides:
3 = x
This represents the x coordinate.
Normally you would put this value into one of the equations to figure out y, but they already gave us that in the beginning:
y = 2
This represents the y coordinate.
Put the two values together to get: (3,2)
Answer:
7.5
Step-by-step explanation:
Divide 30 by 3.99