Write the sample space for the given experiment.A box contains 3 blue cards numbered 1 through 3, and 4 green cards numbered 1 through 4. A blue card is picked, followed by a green card.
A. {7}
B. {12}
C. {(1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (3, 4)}
D. {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (4, 3)}
Answer: C
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Provide an appropriate response.To obtain a graph of y = 7(x - 1)2 from the graph of y = 7x2, which of the following statements is true?
A. shift 1 unit to the left B. shift 1 unit up C. shift 1 unit to the right D. shift 1 unit down E. none of the above
Factor the sum or difference of two cubes.729y3 - 343
A. (9y - 7)(81y2 + 49) B. (729y - 7)(y2 + 63y + 49) C. (9y + 7)(81y2 - 63y + 49) D. (9y - 7)(81y2 + 63y + 49)
y?? + 4y? + 4y = 12, y (0) = 5, y?(0) = 1
Solve the initial-value problem.
Find the least common denominator of the rational expressions.
and 
A. 6y2 + 36 B. 6y(y + 6) C. 6y2 + 6 D. 6y + 6