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

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Prototype/Willingness Model

This model suggests that behavior is influenced by both rational decision-making processes about a behavior's outcomes (prototypes) and an individual's willingness to engage in the behavior in specific contexts.

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A psychological theory positing that individuals regulate their behavior through either promotion-focused strategies, aimed at achieving positive outcomes, or prevention-focused strategies, aimed at avoiding negative outcomes.