Perform the Operation Indicated $$\frac { x ^ { 2 } + 14 x + 45 } { x ^ { 2 } + 15 x + 54 } \div \frac { x ^ { 2 } + 5 x } { x ^ { 2 } + 4 x - 12 }$$

question 58

Multiple Choice

Perform the operation indicated.
- $$\frac { x ^ { 2 } + 14 x + 45 } { x ^ { 2 } + 15 x + 54 } \div \frac { x ^ { 2 } + 5 x } { x ^ { 2 } + 4 x - 12 }$$

• A) \(\frac { x } { x ^ { 2 } + 15 x + 54 }\)
• B) \(\frac { x - 2 } { x }\)
• C) \(\frac { x - 2 } { x ^ { 2 } + 6 x }\)
• D) \(x - 2\)

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Definitions:

Vena Cava

A large vein carrying deoxygenated blood into the heart; there are two in humans, the superior vena cava and the inferior vena cava.

Capillaries

Microscopic blood vessels that connect arterioles and venules, facilitating the exchange of water, oxygen, carbon dioxide, and other substances between blood and tissues.

Capillaries

Tiny blood vessels that connect arterioles and venules, facilitating the exchange of water, oxygen, carbon dioxide, and many other nutrients and waste substances between blood and tissues.

Osmotic Pressure

The pressure required to prevent the flow of a solvent into a solution via osmosis.