Determine the vertex, focus, and directrix of the parabola and sketch its graph.x2 - 12x = 8y - 68
A. vertex: (6, 4)
focus: (6, 2)
directrix: y = 6
B. vertex: (6, 4)
focus: (4, 4)
directrix: x = 8
C. vertex: (6, 4)
focus: (6, 6)
directrix: y = 2
D. vertex: (6, 4)
focus: (8, 4)
directrix: x = 4
Answer: C
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Solve the problem.The growth in the mouse population at a certain county dump can be modeled by the exponential function where t is the number of months since the population was first recorded. Estimate the population after 34 months.
A. 967 mice B. 1933 mice C. 767 mice D. 1988 mice
Use a calculator to approximate the logarithm to four decimal places.log9 8
A. 1.0566 B. 1.8928 C. -0.9464 D. 0.9464
Solve the equation for x, where x is restricted to the given interval.3y = tan 6x, for x in
A. x = 6 arctan
B. x = arctan y
C. x = 2 arctan y
D. x = arctan 3y
Find all specified roots.Cube roots of 1.
A. -1, 1
B. 1, -
i, -
-
i
C. 1, - +
i, -
-
i
D. 1, +
i, -
+
i