Use an Inverse Matrix to Find the Solution to the System

question 175

Multiple Choice

Use an inverse matrix to find the solution to the system.
-Suppose that in a certain city, the Democratic, Republican, and Independent parties always nominate candidates mayor. It turns out that the percent of people voting for each party candidate in the next election depends on the that voted for that party in the last election. The percent voting for each party in the next election is given by
$$\left[ \begin{array} { l } \mathrm { D } \\\mathrm { R } \\\mathrm { I }\end{array} \right] = \left[ \begin{array} { l l l } 60 & 20 & 30 \\30 & 60 & 30 \\10 & 20 & 40\end{array} \right] \left[ \begin{array} { l } \mathrm { d } \\\mathrm { r } \\\mathrm { i }\end{array} \right]$$
where $\mathrm { d } , \mathrm { r }$ , and $\mathrm { i }$ are the respective percents (in decimals) that voted for that party in the last election. If the perce voting for a Democrat in the next election is $41 \%$ , the percent voting for a Republican in the next election is $42 \%$ , and the percent voting for the Independent party in the next election is $17 \%$ , then what percent of people voted for an Independent in the last election?

• A) 40%
• B) 50%
• C) 10%
• D) 25%

Recognize the importance of beginning where the client is to facilitate engagement and successful intervention.

Understand the definition and significance of empathic responding in social work.

Distinguish between empathic and sympathetic responding, including examples.

Comprehend the characteristics of language used in an empathic response.

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Definitions:

Sternum

The long, flat bone located in the center of the chest which connects to the ribs via cartilage to form the front part of the rib cage, providing protection to the chest organs.

Pelvis

The lower part of the torso, located between the abdomen and the thighs, consisting of several bones including the hip bones, sacrum, and coccyx.

Serous Membrane

A thin layer of tissue that covers internal body cavities and secretes a lubricating fluid to reduce friction from muscle movement.

Thoracic Cavity

A central compartment of the chest that houses the lungs, heart, and other vital organs.