Yes the answer is not 4/7 its 7/4
Answer:
The third option: "A coordinate plane with a line passing through (0, negative 4) and (2, 0)."
Step-by-step explanation:
Use the equation defined by the function: y = 2x - 4 to check the (x, y) values they give you. If they both render true mathematical statements, those are indeed points on the plane that belong to the given line.
For the third case; the pairs (0,-4) and (2,0), both satisfy the equation of the line that is given.
For (0,-4): y = 2x - 4 becomes:
which is a TRUE statement
For (2,0): y = 2x - 4 becomes:
which is also a TRUE statement.
This option is the only one that verifies both given points as truly being part of the given line.
The first one and the last one, the 2 middle ones are not corresponding
Answer:
-1 / x + (x + 1) / (x² + 3)
Step-by-step explanation:
(x − 3) / (x (x² + 3))
There are two factors in the denominator, so split this into two fractions with unknown numerators:
A / x + (Bx + C) / (x² + 3)
Combine back into one fraction:
(A (x² + 3) + (Bx + C) x) / (x (x² + 3))
Now equate this numerator with the original:
A (x² + 3) + (Bx + C) x = x − 3
Ax² + 3A + Bx² + Cx = x − 3
(A + B) x² + Cx + 3A = x − 3
Match the coefficients:
A + B = 0
C = 1
3A = -3
Solve:
A = -1
B = 1
C = 1
Therefore, the partial fraction decomposition is:
-1 / x + (x + 1) / (x² + 3)
Here's a graph showing that the two are the same:
desmos.com/calculator/hrxfnijewh
Answer:
14/25
Step-by-step explanation: