Add, and Then Simplify, If Possible $\frac { 7 } { x + 2 } + \frac { 8 } { x - 4 }$

question 7

Multiple Choice

Add, and then simplify, if possible. $\frac { 7 } { x + 2 } + \frac { 8 } { x - 4 }$

• A) \(\frac { 3 ( 5 x + 4 ) } { ( x + 2 ) ( x - 4 ) }\)
• B) \(\frac { 2 } { ( x + 2 ) ( x - 4 ) }\)
• C) \(\frac { 2 ( 5 x - 4 ) } { x + 2 }\)
• D) \(\frac { ( 5 x - 4 ) } { ( x + 2 ) ( x - 4 ) }\)
• E) \(\frac { 3 ( 5 x - 4 ) } { ( x + 2 ) ( x - 4 ) }\)

---

Definitions:

Profit-Maximizing

A strategic approach in which a firm determines the best output level and pricing to achieve the highest possible profit.

Competitive Market

A market structure characterized by a large number of buyers and sellers, where no single entity has a significant influence on the market price.

Long-Run Equilibria

A state in economics where all factors of production and costs are variable, and firms make decisions to maximize profits without any fixed inputs.

Demand Increases

A situation in which the desire and ability of consumers to purchase a good or service grow, typically leading to higher prices and potentially greater supply.