Write an equation for the parabola.vertex: (-4, 3), directrix: x = -6

A. (y - 3)2 = 8(x + 4)
B. (x - 3)2 = 8(y + 4)
C. (y - 3)2 = -8(x + 4)
D. (x + 4)2 = -8(x - 3)


Answer: A

Mathematics

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Evaluate the integral using the given substitution. dx , u = x3/2 - 2

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B. x3/2 - 2 +  sin 2(x3/2 - 2)+ C
C. sin3 (x3/2 - 2) + C
D. (x3/2 - 2) +  sin 2(x3/2 - 2) + C

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Solve the problem.A job pays a salary of 27,000 the first year. During the next 9 years, the salary increases by 5% each year. What is the salary for the 10th year? What is the total salary over the 10-year period? (Round to the nearest cent.)

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Mathematics