Write the Augmented Matrix for the System $$\begin{array} { r } 5 x + 8 z = 37 \\8 y + 9 z = 7 \\4 x + 9 y + 3 z = 51\end{array}$$

question 58

Multiple Choice

Write the augmented matrix for the system.
- $$\begin{array} { r } 5 x + 8 z = 37 \\8 y + 9 z = 7 \\4 x + 9 y + 3 z = 51\end{array}$$

• A) \(\left[ \begin{array} { l l | l } 5 & 0 & 8 \\ 0 & 8 & 9 \\ 4 & 9 & 3 \end{array} \right]\)
• B) \(\left[ \begin{array} { l l r | r } 5 & 0 & 4 & 37 \\ 0 & 8 & 9 & 7 \\ 8 & 9 & 3 & 51 \end{array} \right]\)
• C) \(\left[ \begin{array} { r r r | r } 5 & 0 & 8 & 37 \\ 0 & 8 & 9 & 7 \\ 4 & 9 & 3 & 51 \end{array} \right]\)
• D) \(\left[ \begin{array} { r r r | r } 5 & 8 & 0 & 37 \\ 8 & 9 & 0 & 7 \\ 4 & 9 & 3 & 51 \end{array} \right]\)

Grasp the role and impact of government interventions in the economy, including taxation, regulation, and provision of public goods and services.

Comprehend the basic principles of supply, demand, and the price mechanism in determining the allocation of resources and goods.

Identify the concepts of market failure including externalities, monopolies, and public goods.

Recognize the historical and theoretical background of key economic theories and figures such as Karl Marx and Adam Smith.

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