Solve the system by either elimination or substitution. Verify your work by using "intersect" on your graphing calculator of by checking that your result satisfies both equations of the system.  x = -8y + 432x + 7y = 32

A. empty set solution; inconsistent system
B. (-5, 6)
C. (-6, 7)
D. (5, 7)


Answer: B

Mathematics

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Evaluate the spherical coordinate integral.

A. ?
B. ?
C. ?
D. ?

Mathematics

Solve the problem.The distance D in feet that an object has fallen after t seconds is given by D(t) = 16t2.  (i) Evaluate D(2) and D(5).  (ii) Calculate the slope of the secant line through D(2) and D(5) on the graph of D and interpret the answer in terms of an average rate of change of D from 2 to 5.

A. (i) 32, 80  (ii) 112; the object's average speed from 2 to 5 seconds is 112 ft/sec. B. (i) 64, 400  (ii) 48; the object's average speed from 2 to 5 seconds is 48 ft/sec. C. (i) 32, 80  (ii) 48; the object's average speed from 2 to 5 seconds is 48 ft/sec. D. (i) 64, 400  (ii) 112; the object's average speed from 2 to 5 seconds is 112 ft/sec.

Mathematics

Find the nth term of the geometric sequence.4, - , - 

A. an = 4 ? n-1
B. an = 4 ? n + 1
C. an = 4 ? n
D. an = 4 ? n-1

Mathematics

Several logs are stored in a pile with 30 logs on the bottom layer, 29 on the second layer, 28 on the third layer, and so on. If the top layer has one log, how many logs are in the pile? ?

A. 464 B. 465 C. 450 D. 435 E. none of the above

Mathematics