Transform the equation to a form without an xy-term by a rotation of axes and then identify the curve.5x2 - 6xy + 5y2 = 24
A. -
= 1; hyperbola
B. +
= 1; ellipse
C. -
= 1; hyperbola
D. +
= 1; ellipse
Answer: B
Mathematics
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Evaluate the function.Find f(k) when f(x) = 3x2 + 4x + 5
A. 3k2 + 16k + 5 B. 3k2 + 4k + 25 C. 3k2 + 4k + 5 D. 9k2 + 16k + 25
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Solve the inequality. Express your answer using interval notation.|x - 5| - 1 ? 2
A. [2, 8] B. no solution C. (-?, 2) or (8, ?) D. [-2, 2]
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Use a right triangle to write the expression as an algebraic expression. Assume that x is positive and in the domain of the given inverse trigonometric function.cos(sin-1 x)
A.
B.
C.
D.
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Use the change-of-base formula to rewrite the logarithm as a ratio of logarithms. Then use a graphing utility to graph the ratio. ? f(x) = log4x ?
A. f(x) = log x + log 4 = ln x + ln 4
?
B.
C.
D.
E.
?
Mathematics