Determine whether the infinite geometric series converges or diverges. If it converges, find its sum.4 - 1 +  - ...

A. Converges; 
B. Converges; 4
C. Converges; 3
D. Converges; - 1


Answer: A

Mathematics

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Write the inverse of the statement.If the moon is out, then we will start a campfire and we will roast marshmallows.

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Provide an appropriate response. Solve for x by completing the square: x2 + 80x = 150

A. 0.917 B. 0.229 C. 1.83 D. 0.458

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Perform the division.(8x2y3 + 12x4y7 - 12x5y4) ÷ (4x2y3)

A. 2 + 3xy4 - 3x2y B. 2 + 3x2y4 - 3x3y C. 2xy + 3x2y4 - 3x3y D. 2 + 3x2y3 - 3x3y2

Mathematics

Write the function g in terms of the function f where the graph of g is given by the following transformations of the graph of f. The graph of f(x) = x2 is shifted 4 units to the left. This graph is then vertically stretched by a factor of 5 and reflected across the x-axis. Finally, the graph is shifted 7 units downward.

A. g(x) = -5f(x - 4) + 7 B. g(x) = -5f(x - 4) - 7 C. g(x) = -5f(x + 7) - 4 D. g(x) = -5f(x + 4) - 7

Mathematics