Find the least common denominator (LCD).
, 
, 
A. 36x5y
B. 60x5y4
C. 180x5y4
D. 90x20y12
Answer: C
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Identify all of the symmetries in the following figure.
A. It has reflection symmetries; it can be reflected across a vertical line through its center, a horizontal line through its center, or either of its diagonals, and its appearance remains the same. It also has rotation symmetries; it can be rotated through 90°, 180°, or 270°, and its appearance remains the same. B. It has rotation symmetries; it can be rotated through 90°, 180°, or 270°, and its appearance remains the same. C. It has reflection symmetries; it can be reflected across a vertical line through its center, a horizontal line through its center, or either of its diagonals, and its appearance remains the same. D. None of these.
Provide an appropriate response.Perform the indicated operation. Express as a power of 10: 
2
What will be an ideal response?
Solve the problem.Find an equation of the hyperbola that passes through the points (-3, -2) and (4, 
).
A. 
- 
= 1
B. 
- 
= 1
C. 3y2 - 7x2 = 1
D. 
- 
= 1
Use calculus to find any critical points and inflection points of the given function. Then determine the concavity of the function and the intervals over which it is increasing/decreasing.f(x) = e4x
A. Critical points: none Inflection points: point of inflection at x = 0 Concavity: concave down for all x < 0 and concave up for all x > 0 Increasing: increasing for all real numbers B. Critical points: none Inflection points: none Concavity: concave down for all real numbers Decreasing: decreasing for all real numbers C. Critical points: critical point at x = 0 Inflection points: none Concavity: concave up for all real numbers Increasing: increasing for all x < 0 and decreasing for all x > 0 D. Critical points: none Inflection points: none Concavity: concave up for all real numbers Increasing: increasing for all real numbers