​A Line Tangent to the Curve at the Point

question 29

Multiple Choice

​A line tangent to the curve at the point has a slope of -1.What is the x-intercept of this tangent? Round the answer to three decimal places. ​

• A)​14.3
• B)​0.938
• C)​1.118
• D)​0.254

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Definitions:

Proportional Representation

An electoral system in which parties gain seats in proportion to the number of votes cast for them, offering a more direct reflection of public opinion in legislative bodies than winner-take-all systems.

Winner-Take-All

An election system in which the candidate with the most votes wins the entire election, with no rewards or positions given to those who finish in second place or lower.

Political Parties

Organized groups of people with similar political ideologies and goals, working together to influence public policy and governance through elections.

Single-Member Plurality System

An electoral system in which candidates compete for a single seat from each constituency, and the candidate receiving the most votes wins, even if not achieving an absolute majority.