Find the Missing Numerator and Denominator $$\frac { x ^ { 2 } - 64 } { x ^ { 2 } - 10 x + 25 } \div \frac { ? } { ? } = \frac { ( x - 8 ) ( x + 10 ) } { 8 ( x - 5 ) }$$

question 11

Multiple Choice

Find the missing numerator and denominator.
- $$\frac { x ^ { 2 } - 64 } { x ^ { 2 } - 10 x + 25 } \div \frac { ? } { ? } = \frac { ( x - 8 ) ( x + 10 ) } { 8 ( x - 5 ) }$$

• A) \(\frac { 8 x + 64 } { x ^ { 2 } + 5 x - 50 }\)
• B) \(\frac { x - 5 } { ( x - 8 ) ( x + 10 ) }\)
• C) \(\frac { ( x - 8 ) ( x + 10 ) } { x - 5 }\)
• D) \(\frac { 8 x - 64 } { x ^ { 2 } + 5 x - 50 }\)

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Definitions:

Computer Assisted Telephone Interviewing (CATI)

A surveying technique where interviewers use a computer system to guide both the interview process and data entry, enhancing efficiency and data accuracy.

Computer Assisted Personal Interviewing (CAPI)

A method of conducting surveys using a computer or tablet to facilitate the questionnaire, often allowing for immediate data entry and processing.

Synchronous Environments

Digital or virtual spaces where interactions happen in real-time, allowing participants to engage simultaneously.

Computer Assisted Telephone Interviewing (CATI)

A method of survey data collection where an interviewer uses a computer system to guide the interview and directly enter responses.