Divide and Simplify $$\frac { 2 x ^ { 2 } - 4 x - 16 } { 5 x ^ { 2 } - 30 x + 40 } \div \frac { x ^ { 2 } - 6 x + 8 } { x ^ { 2 } - 4 x + 4 }$$

question 188

Multiple Choice

Divide and simplify.
- $$\frac { 2 x ^ { 2 } - 4 x - 16 } { 5 x ^ { 2 } - 30 x + 40 } \div \frac { x ^ { 2 } - 6 x + 8 } { x ^ { 2 } - 4 x + 4 }$$

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

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Definitions:

Reorder Point

The inventory level at which a new order should be placed to replenish stock before it runs out.

Quantity Discounts

Price reductions offered to buyers who purchase goods or services in large volumes, incentivizing bulk purchases and increasing overall sales.

Cost-Minimizing Order Quantity

The optimal amount of inventory an entity should purchase to minimize total costs including holding, ordering, and shortage costs.

Holding Costs

Expenses associated with storing inventory until it is sold or used, including warehouse space, insurance, and spoilage costs.