For the given geometric sequence, find the limit of the infinite series, if it exists. 3, 1, 
, 
, . . .
A. 4
B. 3
C. 
D. 1
Answer: C
Mathematics
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Solve using the principle of zero products.Given that f(x) = 9x(5x + 25), find all values of a for which f(a) = 0.
A. 0, 
B. 0, 5
C. 0, - 
D. 0, -5
Mathematics
Solve the system of equations by Gaussian elimination. If there is an unlimited number of solutions, find two of them.x + 3y - 2z - w = 104x + y + z + 2w = 33-3x - y - 3z - 2w = -33 x - y - 3z -2w = -17
A. x = 3, y = 7, z = -2, w = 7 B. x = 4, y = 5, z = 2, w = 5 C. x = 10, y = 33, z = -33, w = -17 D. Inconsistent
Mathematics
Perform the indicated operation(s). Simplify if possible.
+ 
A. 
B. 
C. 
D. 
Mathematics
Find the equation of a circle satisfying the given conditions.Center: (-5, 0); radius: 11
A. x2 + (y + 5)2 = 11 B. (x - 5)2 + y2 = 121 C. (x + 5)2 + y2 = 121 D. x2 + (y - 5)2 = 11
Mathematics