Solve the problem.A committee is set up to vote yes or no on a logo design. The committee is composed of one person whose favorite color is (A)zure, five people whose favorite color is (B)lack, seven people whose favorite color is (C)herry, and nine people whose favorite color is (G)reen. At least sixteen votes are required for a decision, and the committee members will vote in blocs according to their favorite colors. List all winning coalitions, and identify those blocs that are critical to each of the winning coalitions.
A. {A, B, C, G}, {A, C, G}, {B, C, G}, {C, G} ;
C and G are critical to all winning coalitions.
B. {A, C, G}, {B, C, G}, {C, G} ;
C and G are critical to all winning coalitions.
C. {A, B, C, G}, {A, C, G}, {B, C, G}, {C, G} ;
B, C, and G are critical to the coalition {A, B, C, G} ;
C and G are critical to all other winning coalitions.
D. {A, C, G}, {B, C, G}, {C, G} ;
G is critical to all winning coalitions.
Answer: A
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Solve the inequality. Express your answer using interval notation.-5(5x + 2) < -30x + 15
A. (-?, -1]
B. (5, ?)
C. (-?, 5]
D. (-?, 5)
Subtract.
- 
A. 
x3 - 
x2 + 
x - 5
B. 
x3 - 
x2 + 
x + 11
C. 
x3 - 
x2 + 
x + 11
D. 
x3 - 
x2 + 
x + 11
Solve the problem.In a survey of 374 computer buyers, 159 put price as a main consideration, 218 put performance as a main consideration, and 57 listed both price and performance. How many computer buyers listed other considerations? How many looked only for performance?
A. 54; 161 B. 102; 161 C. 54; 218 D. 111; 218
(a) find the equilibrium value(s) of the differential equation; (b) access the stability of each equilibrium value; (c) determine the point(s) of inflection; (d) sketch sample solutions of the differential equation.