Determine the equation of the vertical asymptote for the graph of this function, and state the domain and range of this function.f(x) = log(5x - 4) - 13

A. Vertical asymptote: x = ;
Domain: , Range: (-?, ?)
B. Vertical asymptote: x = ;
Domain: , Range: (-?, ?)
C. Vertical asymptote: x = 13;
Domain: (13, ?), Range: (-?, ?)
D. Vertical asymptote: x = ;
Domain: , Range: (-?, ?)

Answer: D

Mathematics

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Factor, if possible.5x2 + 31x + 30

A. (5x - 6)(x - 5) B. (5x - 6)(x + 5) C. (5x + 6)(x + 5) D. (x + 6)(x + 5)

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Mathematics

Solve the problem.In 1838, the German mathematician and astronomer Friedrich Wilhelm Bessel was the first person to calculate the distance to a star other than the Sun. He accomplished this by first determining the parallax of the star, 61 Cygni, at 0.314 arc seconds (Parallax is the change in position of the star measured against background stars as Earth orbits the Sun. See illustration.) If the distance from Earth to the Sun is about 150,000,000 km and ? = 0.314 seconds = minutes = degrees, determine the distance d from Earth to 61 Cygni using Bessel's figures. Express