A die is rolled twice. Write the indicated event in set notation.The sum of the rolls is either 3 or 4.
A. {(1, 2), (2, 1), (1, 3), (3, 1), (2, 2)}
B. {(1, 2), (1, 3), (2, 2)}
C. {(1, 2), (2, 2)}
D. {(2, 1), (3, 1), (2, 2)}
Answer: A
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Solve the problem.Find and simplify f(a + h) - f(a), given f(x) = x2 + 3x - 6.
A. 2a2 + 2ah + h2 + 3h B. h2 + 3h C. 2a2 + h2 + 3h D. 2ah + h2 + 3h
Eliminate the parameter t. Find a rectangular equation for the plane curve defined by the parametric equations.x = 6 cos t, y = 6 sin t; 0 ? t ? 2?
A. x2 - y2 = 36; -6 ? x ?6 B. x2 + y2 = 36; -6 ? x ?6 C. x2 + y2 = 6; -6 ? x ?6 D. x2 - y2 = 6; -6 ? x ?6
Solve the problem.Suppose that the population of a certain city during a certain time period can be approximated by where x is time in years since 2010. By sketching a graph of P(x), estimate during what time period the population of the city would be increasing.
A. Between 2010 and 2024 B. Between 2015 and 2045 C. Between 2010 and 2038 D. Between 2015 and 2038
Solve the inequality and graph. Express your answer in interval notation.-4(-2 - x) < 6x + 19 - 11 - 2x
A. (-?, 8)
B. ?
C. (-?, 0)
D. (-?, ?)