Simplify the Rational Expression $\frac { y ^ { 2 } + 7 y + 10 } { y ^ { 2 } + 11 y + 30 }$

question 41

Multiple Choice

Simplify the rational expression.
- $\frac { y ^ { 2 } + 7 y + 10 } { y ^ { 2 } + 11 y + 30 }$

• A) \(\frac { 7 y + 1 } { 11 y + 3 }\)
• B) \(- \frac { y ^ { 2 } + 7 y + 10 } { y ^ { 2 } + 11 y + 30 }\)
• C) \(\frac { 7 y + 10 } { 11 y + 30 }\)
• D) \(\frac { y + 2 } { y + 6 }\)

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Definitions:

Year 2

Typically refers to the second year in a given context, such as the second year of a study, project, or business operation, implying an ongoing or sequential timeline.

Future Value

The value of a current asset at a future date based on an assumed rate of growth over time.

Compound Interest

Interest calculated on the initial principal and also on the accumulated interest of previous periods of a deposit or loan.

No Further Deposits

A condition in financial agreements where an individual is not required or allowed to make additional contributions beyond the initial or specified amounts.