Find the vertex of the graph of the given equation.f(x) = -2x2 - 4x - 9

A. (2, -25)
B. (1, -15)
C. (-1, -7)
D. (-2, -13)


Answer: C

Mathematics

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Solve the problem.Find the area of the region bounded by y = coth 4x, y = 0, x = ln 2 and x = ln 4.

A.
B.  ln 2
C.  ln 
D. ln 

Mathematics

Determine the absolute value.

A. 73 B. 146 C. -73 D. 0

Mathematics

Evaluate the limit.

A. 1
B. 0
C.
D. ?

Mathematics

After beginning antiseptic treatment, the number of bacteria in a population decreases at a rate of 25% per day, that is, dN/dt = -0.25N, where N is the number of bacteria and t is the time, in days.

(a) When t = 0 , there are 80,000 bacteria present. Find a function that satisfies this equation. (b) How many bacteria will remain after 7 days? (c) After how long do half of the original bacteria remain?

Mathematics