Perform the Indicated Operations $$\frac { x + 7 } { x ^ { 2 } - 3 x - 10 } + \frac { 3 x + 8 } { x ^ { 2 } - 11 x + 30 }$$

question 47

Multiple Choice

Perform the indicated operations. Simplify the result, if possible.
- $$\frac { x + 7 } { x ^ { 2 } - 3 x - 10 } + \frac { 3 x + 8 } { x ^ { 2 } - 11 x + 30 }$$

• A) \(4 x + 15\)
• B) \(\frac { 4 x ^ { 2 } + 15 x - 26 } { ( x - 5 ) ( x + 2 ) ( x - 6 ) }\)
• C) \(\frac { 4 x ^ { 2 } + 15 x - 26 } { ( x + 5 ) ( x - 2 ) ( x + 6 ) }\)
• D) \(\frac { 4 x + 15 } { 2 x ^ { 2 } - 14 x + 20 }\)

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Definitions:

Makespan

The total time required to complete a group of jobs on a production schedule, from start to finish.

FCFS

First Come, First Served, a principle or method used in various contexts where services or resources are provided to the first requestor in the order they are received.

EDD

Expected due date, commonly used in project management and logistics to plan and prioritize tasks based on their deadlines.

SPT

Shortest Processing Time; a priority rule used in scheduling to sequence jobs by ascending order of their processing times.