The Augmented Matrix Is Given for a System of Equations $$\left[ \begin{array} { r r r r r } 1 & 4 & - 2 & - 3 & 1 \\0 & 0 & 1 & 4 & - 4 \\- 1 & - 4 & 0 & - 5 & 7\end{array} \right]$$

question 38

Multiple Choice

The augmented matrix is given for a system of equations. If the system is consistent, find the general solution.
Otherwise state that there is no solution.
- $$\left[ \begin{array} { r r r r r } 1 & 4 & - 2 & - 3 & 1 \\0 & 0 & 1 & 4 & - 4 \\- 1 & - 4 & 0 & - 5 & 7\end{array} \right]$$

• A) \(x _ { 1 } = - 4 x _ { 2 } + 2 x _ { 3 } + 3 x _ { 4 } + 1\)
• \(x _ { 2 }\) is free
• \(x _ { 3 } = - 4 - 4 x _ { 4 }\)
• \(x _ { 4 }\) is free
• B) \(\times _ { 1 } = - 7 - 4 \times _ { 2 } - 5 x _ { 4 }\)
• \(x _ { 2 }\) is free
• \(x _ { 3 } = - 4 - 4 x _ { 4 }\)
• \(x _ { 4 }\) is free
• C) \(x _ { 1 } = - 7 - 4 x _ { 2 } - 5 x _ { 4 }\)
• \(x _ { 2 }\) is free
• \(x _ { 3 } = - 4 - 4 x _ { 4 }\)
• \(x _ { 4 } = 0\)
• D) \(x _ { 1 } = - 7 - 4 x _ { 2 } - 5 \times 3\)
• \(x _ { 2 } = - 4 - 4 x _ { 3 }\)
• \(x _ { 3 }\) is free

Understand the importance of safe disposal practices for controlled substances.

Identify and describe the different sections of a package insert and their contents.

Understand the concepts of complementary and alternative medicine (CAM) therapies.

Define and differentiate between drug's brand names and generic names.

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Definitions:

Psychological Experiment

A research method in psychology that tests hypotheses and theories by observing the outcomes of controlled interventions on human or animal subjects.

Independent Variable

In an experiment, the variable that is intentionally changed or manipulated by the researcher to observe its effect on the dependent variable.

Alcohol Consumption

The act of drinking beverages containing ethyl alcohol, which can affect cognitive and physical functions.

Physical Coordination Skills

Abilities that involve the use of the body's muscles in a synchronized manner to perform tasks efficiently and effectively.