Multiply and Simplify $$\frac { x ^ { 2 } + 11 x + 30 } { x ^ { 2 } + 14 x + 45 } \cdot \frac { x ^ { 2 } + 9 x } { x ^ { 2 } - 3 x - 54 }$$

question 241

Multiple Choice

Multiply and simplify.
- $$\frac { x ^ { 2 } + 11 x + 30 } { x ^ { 2 } + 14 x + 45 } \cdot \frac { x ^ { 2 } + 9 x } { x ^ { 2 } - 3 x - 54 }$$

• A) \(\frac { x ^ { 2 } + 9 x } { x - 9 }\)
• B) \(\frac { 1 } { x - 9 }\)
• C) \(\frac { x } { x - 9 }\)
• D) \(\frac { x } { x ^ { 2 } + 14 x + 45 }\)

Understand the concept of biodiversity at various levels and its implications for community structure.

Describe the process and effects of succession on ecosystems.

Recognize the role of interactions (positive/negative) among species in shaping community structure.

Understand the concept of a gardening or agricultural practice that demonstrates principles of ecology.

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Definitions:

Profit-maximizing Level

The output level at which a firm achieves the highest possible profit.

Short-run

In economics, a period wherein at least one input (like capital) is fixed, and firms can only adjust variable inputs (like labor).

Normal Profits

The level of profit necessary to keep a firm in a specific industry or market in the long run, equating to the firm’s opportunity costs.

Profit-maximizing

A business strategy or operational mode where the primary goal is to achieve the maximum possible profits.