Factor, Using the Given Factor $2 ( 5 x - 1 ) ^ { - 3 / 4 } + 4 ( 5 x - 1 ) ^ { 1 / 4 } + 8 ( 5 x - 1 ) ^ { 5 / 4 } ; \quad 2 ( 5 x - 1 ) ^ { - 3 / 4 }$

question 102

Multiple Choice

Factor, using the given factor. Assume all variables represent positive real numbers.
- $2 ( 5 x - 1 ) ^ { - 3 / 4 } + 4 ( 5 x - 1 ) ^ { 1 / 4 } + 8 ( 5 x - 1 ) ^ { 5 / 4 } ; \quad 2 ( 5 x - 1 ) ^ { - 3 / 4 }$

• A) \(2 ( 5 x - 1 ) ^ { - 3 / 4 } \left( 100 x ^ { 2 } - 30 x - 3 \right)\)
• B) \(4 ( 5 x - 1 ) ^ { - 3 / 4 } \left( 25 x ^ { 2 } - 15 x + 1 \right)\)
• C) \(4 ( 5 x - 1 ) ^ { - 3 / 4 } \left( 25 x ^ { 2 } - 15 x - 1 \right)\)
• D) \(2 ( 5 x - 1 ) ^ { - 3 / 4 } \left( 100 x ^ { 2 } - 30 x + 3 \right)\)

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Definitions:

Supply Curve

A graphical representation showing the relationship between the price of a good and the quantity of the good that suppliers are willing and able to sell, typically upward sloping.

Quantity Supplied

The total amount of a good or service that producers are willing and able to sell at a given price over a specified period.

Supply

The total amount of a specific good or service that is available to consumers.

Quantity Supplied

The amount of a good or service that producers are willing and able to sell at a particular price over a given period of time.