Politics. The percentage s of seats in the House of Representatives won by Democrats and the percentage v of votes cast for Democrats (when expressed as decimal fractions) are related by the equation 5 v − 2 s = 1.4 0 < s < 1 , 0.28 < v < 0.68 (A) Express v as a function of s , and find the percentage of votes required for the Democrats to win 51 % of the seats. (B) Express s as a function of v and find the percentage of seats won if Democrats receive 51 % of the votes.
Politics. The percentage s of seats in the House of Representatives won by Democrats and the percentage v of votes cast for Democrats (when expressed as decimal fractions) are related by the equation 5 v − 2 s = 1.4 0 < s < 1 , 0.28 < v < 0.68 (A) Express v as a function of s , and find the percentage of votes required for the Democrats to win 51 % of the seats. (B) Express s as a function of v and find the percentage of seats won if Democrats receive 51 % of the votes.
Solution Summary: The author calculates the percentage of votes required for the Democrats to win 51% of the seats.
Politics. The percentage
s
of seats in the House of Representatives won by Democrats and the percentage
v
of votes cast for Democrats (when expressed as decimal fractions) are related by the equation
5
v
−
2
s
=
1.4
0
<
s
<
1
,
0.28
<
v
<
0.68
(A) Express
v
as a function of
s
, and find the percentage of votes required for the Democrats to win
51
%
of the seats.
(B) Express
s
as a function of
v
and find the percentage of seats won if Democrats receive
51
%
of the votes.
Calculus lll
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Find three horizontal tangents between [0,10]
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