Find the Vertex of the Graph of the Quadratic Function $f ( x ) = - 3 x ^ { 2 } + 30 x - 79$

question 196

Multiple Choice

Find the vertex of the graph of the quadratic function. Find any intercepts and graph the function.
- $f ( x ) = - 3 x ^ { 2 } + 30 x - 79$

• A) Vertex: \(( 5 , - 4 )\); \(x\)-intercepts: none; y-intercept: \(( 0 , - 79 )\)
• B) Vertex \(( - 5 , - 4 )\); \(x\)-intercepts: none; \(y\)-intercept \(( 0 , - 79 )\)
• C) Vertex \(( - 5 , - 4 )\); x-intercepts: none; y-intercept\(\left( 0, - \frac { 37 } { 3 } \right)\);
• D) Vertex \(( 5 , - 4 )\); \(\mathrm { x }\)-intercepts: none; \(\mathrm { y }\)-intercept: \(\left( 0 , - \frac { 37 } { 3 } \right)\)

Recognize the theoretical frameworks explaining social dynamics in urban development and population distribution.

Analyze the impact of industrialization and urbanization on demographic transitions and social structures.

Understand strategies for managing population growth and its consequences.

Comprehend the relationship between social inequality and access to resources including food.

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Definitions:

Payout Ratio

The proportion of earnings paid out as dividends to shareholders, often expressed as a percentage of the company's total net income.

Short-term Debt

Financial obligations that are due to be paid within one year, often used as part of a company's operational financing strategy.

Capital Intensity Ratio

A measure of how much capital is required to produce one unit of output, indicating the extent of capital employed in production.

Net Fixed Assets

The value of a company's property, plant, and equipment minus depreciation, representing the actual worth of these assets to the business.