Write the Augmented Matrix for the System $$\begin{array} { r } 3 x + 9 z - 78 = 0 \\7 y + 5 z - 54 = 0 \\4 x + 8 y + 7 z - 80 = 0\end{array}$$

question 337

Multiple Choice

Write the augmented matrix for the system. Do not solve the system.
- $$\begin{array} { r } 3 x + 9 z - 78 = 0 \\7 y + 5 z - 54 = 0 \\4 x + 8 y + 7 z - 80 = 0\end{array}$$

• A)
• \(\left[ \begin{array} { l l l | l } 3 & 9 & 0 & 78 \\ 7 & 5 & 0 & 54 \\ 4 & 8 & 7 & 80 \end{array} \right]\)
• B)
• \(\left[ \begin{array} { l l l } 3 & 0 & 9 \\ 0 & 7 & 5 \\ 4 & 8 & 7 \end{array} \right]\)
• C)
• \(\left[ \begin{array} { l l l | l } 3 & 0 & 4 & 78 \\ 0 & 7 & 8 & 54 \\ 9 & 5 & 7 & 80 \end{array} \right]\)
• D)
• \(\left[ \begin{array} { l l l | l } 3 & 0 & 9 & 78 \\ 0 & 7 & 5 & 54 \\ 4 & 8 & 7 & 80 \end{array} \right]\)

Recognize the psychological and biological factors contributing to mental health disorders.

Comprehend the concept of mood disorders and their impact on individuals.

Understand the role of genetics and environment in the development of mental disorders.

Recognize the significance of research in debunking myths related to mental health.

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Definitions:

Positive Relationship

A relationship between two variables where an increase in one variable is associated with an increase in the other.

Slope

A measure of the steepness, incline, or grade of a line, typically determined by the ratio of the vertical change to the horizontal change.

Point C

In the context of economic models, Point C can represent a specific position on a graph, such as on a supply and demand curve or a production possibilities frontier, illustrating a particular economic condition or choice.

Slope

Measures the steepness, incline, or grade of a line on a graph, representing the rate of change of the variables plotted on the axes.