Use the laws of exponents to simplify. Do not use negative exponents in the answer. Assume that even roots are of nonnegative quantities and that all denominators are nonzero.(x1/5)1/3
A. x1/15
B. x1/3
C. x8/15
D. x1/5 ? x1/3
Answer: A
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Use the quadratic formula to find the exact solutions.x2 = 15 + 9x
A. 9, 15
B.
C. 9 ± i
D. ±
i
Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.log612 + log63
A. log636 B. log615 C. 2log66 D. 2
Write the partial fraction decomposition of the rational expression.
A. +
+
B. +
+
C. +
D. +
+
A cone sliced by a plane results in a type of curve called a conic section. Use the given information and figure to identify the conic section produced in the plane. The plane is perpendicular to the axis of the cone.
A. parabola B. hyperbola C. ellipse D. circle