Identify the vertex of the parabola.y = 2x2 + 4x + 0

A. (-2, -1)
B. (2, 1)
C. (1, 2)
D. (-1, -2)


Answer: D

Mathematics

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Find the partial derivative of the dependent variable or function with respect to each of the independent variables.f(x, y) = x3 - 5x2y - 4xy3

A.  = 3x2 + 2xy - 4y3 = -5x2 + 3xy2
B.  = 3x2 = -5x2 - 12xy2
C.  = 3x2 - 10xy - 4y3 = -5x2 - 12xy2
D.  = x2 - 5xy - 4y3 = -5x2 - 4xy2

Mathematics

Convert.4,400,000 centimeters =    kilometers

A. 4.4 B. 440 C. 0.44 D. 44

Mathematics

Solve the problem.An experienced accountant can balance the books twice as fast as a new accountant. Working together it takes the accountants 8 hours. How long would it take the experienced accountant working alone?

A. 20 hr B. 16 hr C. 12 hr D. 4 hr

Mathematics

Find the weighted average.Michael gets test grades of 70, 80, 81, and 87. He gets a 75 on his final exam. Find the weighted mean if the tests each count for 10% and the final exam counts for 60% of the final grade. Round to one decimal place.

A. 76.8 B. 78.6 C. 235.8 D. -82.2

Mathematics