Find the vertex, focus, and directrix of the parabola. Graph the equation.x2 = 8y
A. vertex: (0, 0)
focus: (-2, 0)
directrix: x = 2
B. vertex: (0, 0)
focus: (0, -2)
directrix: y = 2
C. vertex: (0, 0)
focus: (2, 0)
directrix: x = -2
D. vertex: (0, 0)
focus: (0, 2)
directrix: y = -2
Answer: D
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Simplify.
A.
B. -
C.
D. -
Solve using matrices.x - 5y = -4x + 8y = -4
A. (0, 4) B. (4, 0) C. (0, -4) D. (-4, 0)
Job growth The number of jobs in 2000, the number projected in 2025, and the projected annual growth rate for jobs in some cities are shown in the table below. Consider the following sets.
A = set of cities with at least 2,000,000 jobs in 2000 or in 2025
B = set of cities with at least 1,500,000 jobs in 2000
C = set of cities with projected annual growth rate of at least 2.5%
Which of the following statements is true?
a. A is a subset of B.
b. B is a subset of A.
c. C is a subset of A.
d. A is a subset of C.
e. B is a subset of C.
Evaluate the function.Find f(0, 1, -1) when f(x, y, z) = 8x - 6yz + 2x.
A. -6 B. 6 C. -5 D. 7