Evaluate the limit by direct evaluation. Change the form of the function where necessary.

A. -7
B. Does not exist
C. 49
D. 7
Answer: D
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Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.log550 - log52
A. log550 1/2 B. log548 C. 2 D. log5100
Planets travel in elliptical orbits with the sun at one focus. Assume that the focus is at the pole, the major axis lies on the polar axis, and the length of the major axis is 2a (see figure). The polar equation of the orbit of a planet is given below, where e is the eccentricity. If miles and
find the perihelion distance (the minimum distance from the sun to the planet). Round your answer to the nearest mile.
A) 86,596,392 miles
B) 91,219,608 miles
C) 8,659,639 miles
D) 9,121,961 miles
E) 865,963,920 miles
Solve the equation by factoring.x2 + 6 = 7x
A. {1, -6} B. {-1, 6} C. {-1, -6} D. {1, 6}
Complete the ordered pairs. Then graph the equation by plotting the points and drawing a line through them.2x - y = -6(0, ), ( , 0), (4, )
A. (0, 6), (-3, 0), (4, 14)
B. (0, -6), (3, 0), (4, 2)
C. (0, 6), (12, 0), (4, 8)
D. (0, 6), (3, 0), (4, -2)