Answer:
[2 5 0]
[-7 -11/2 12]
Step-by-step explanation:
We want to perform elementary row operation represented by R2 - ½R1 on matrix A in the figure attached.
Now, matrix A is given as;
[2 5 0]
[-6 -3 12]
Now, R1 is row 1 = [2 5 0]
R2 is row 2 = [-6 -3 12]
Thus, R2 - ½R1 = [-6 -3 12] - ½[2 5 0]
This gives;
[-6 -3 12] - [1 5/2 0] = [-7 -11/2 12]
Now,[-7 -11/2 12] will be the new row 2 since it's just an elementary row operation we did on the Matrix A.
Thus, the new matrix is now;
[2 5 0]
[-7 -11/2 12]
Answer:
7/6
Step-by-step explanation:
In order to find slope when you have two ordered pairs, you use this equation: (y2-y1)/(x2-x1)
In this case, when you plug them in, you get (49-7)/(42-6), which is 42/36, which is 7/6.
Hope this helped :)
Answer:
−3 < x ≤ 1
Step-by-step explanation:
The domain of a function is the set of x-values.
In this graph, the open circle at (-3, -4) means the segment goes back up to this point but this point is not part of the segment itself.
The closed circle at (1, 2) means this is the endpoint and part of the segment.
This means the x-values range from almost -3 up to and including 1; this gives us the inequality
−3 < x ≤ 1
Answer:
graph B
Step-by-step explanation:
Given
3y - 5x < - 6
Since the inequality is < then the line must be broken
If ≤ then line would be solid
The only possible graphs are B and D
Choose a test point in the shaded region of each graph and check validity
graph B (2, 0) ← substitute into left side of inequality
0 - 5(2) = 0 - 10 = - 10 < - 6 ← this is valid
graph D (0, 0 ) ← substitute into left side of inequality
0 - 0 = 0 > - 6 ← this is not valid
Hence graph B is the correct graph
