Perform the Indicated Operation $\frac { 7 + 5 i } { 3 - 2 i }$

question 227

Multiple Choice

Perform the indicated operation. Write the result in the form a + bi.
- $\frac { 7 + 5 i } { 3 - 2 i }$

• A) \(\frac { 11 } { 13 } + \frac { 29 } { 13 } \mathrm { i }\)
• B) \(\frac { 31 } { 13 } - \frac { 1 } { 13 } \mathrm { i }\)
• C) \(\frac { 31 } { 5 } - \frac { 29 } { 5 } \mathrm { i }\)
• D) \(\frac { 11 } { 5 } - \frac { 29 } { 5 } \mathrm { i }\)

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Definitions:

Technology

The application of scientific knowledge for practical purposes, especially in industry, which drives innovation, efficiency, and productivity improvements.

Supply

Supply is the total amount of a good or service available for purchase at any given price level in a given market.

Equilibrium Price

The price at which the quantity of goods supplied is equal to the quantity of goods demanded.

Demand

How much of a service or product buyers intend and are financially able to acquire at various price intervals during a designated period.