Solve the inequality. Graph the solution set and write it in interval notation.m - 4(m + 6) < 3m

A. (1, ?)

B. (-?, -4)

C. (-4, ?)

D. (-?, 1)


Answer: C

Mathematics

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Convert the rectangular coordinates of the point to polar coordinates (r, ?) with r > 0 and 0 ? ? < 2?.(-4, 0)

A.
B. (4, ?)
C.
D. (4, 0)

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Factor the difference of two squares.36x2 - 1

A. (6x - 1)2 B. prime C. (6x - 1)(6x + 1) D. (6x + 1)2

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Solve.Two radio transmitters are located 350 miles apart on a shore and send simultaneous signals to a ship that is 200 miles offshore. The signal from transmitter T arrives at the ship 200 microseconds after the signal from transmitter S. The signals travel at the speed of 0.186 miles per microsecond. Find the equation of the hyperbola with foci S and T on which the ship is located. Let the center point between the transmitters correspond to the point (0, 0) and let the x-axis be oriented such that it contains the two transmitters. (Hint: For any point along the hyperbola, the absolute value of the difference of its distances from the foci is 2a.)

A.  -  = 1
B.  -  = 1
C.  -  = 1
D.  -  = 1

Mathematics

Find the indicated partial sum for the sequence.729, -2187, 6561, -19,683, . . . ; S6

A. -132,678 B. -88,938 C. 265,356 D. -177,147

Mathematics