Partial Fractions
1 Decompose P/Q, Where Q Has Only Distinct $$\frac { 6 x + 5 } { x ^ { 2 } - 12 x + 35 }$$

question 92

Multiple Choice

Partial Fractions
1 Decompose P/Q, Where Q Has Only Distinct Linear Factors
- $$\frac { 6 x + 5 } { x ^ { 2 } - 12 x + 35 }$$

• A) \(\frac { A } { x - 5 } + \frac { B } { x - 7 }\)
• B) \(\frac { \mathrm { A } } { \mathrm { x } - 5 } + \frac { \mathrm { B } } { \mathrm { x } - 7 } + \frac { \mathrm { C } } { \mathrm { x } ^ { 2 } - 12 \mathrm { x } + 35 }\)
• C) \(\frac { A } { x - 5 } + \frac { B } { x - 7 } + \frac { C x + D } { x ^ { 2 } - 12 x + 35 }\)
• D) \(\frac { A } { x - 5 } + \frac { B } { x - 7 } + \frac { C } { ( x - 5 ) ^ { 2 } ( x - 7 ) ^ { 2 } }\)

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Definitions:

Quantity Supplied

The amount of a product or service that producers are willing and able to sell at a given price level during a specific time period.

Inelastic Demand

A market situation in which the demand for a product does not significantly change with its price increase or decrease.

Total Revenues

The entire amount of income generated by a company from its business activities, before any expenses are subtracted.

Fixed Costs

Costs that do not change with the level of output or sales, such as rent, salaries, and loan payments.