Find the value of the determinant.
A. ba - 15
B. 15 - ab
C. -5a + 3b
D. 5a - 3b
Answer: C
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Find an equation of a parabola satisfying the given conditions.Focus at (-5, -3), directrix y = 9
A. (y + 5)2 = -24(x - 3) B. (y + 5)2 = -24(x + 3) C. (x + 5)2 = -24(y - 3) D. (x + 5)2 = -24(y + 3)
Determine the standard equation of the hyperbola with the given characteristics and sketch the graph.The foci are at (0, - 
) and (0, 
), and an asymptote has equation y = - 
x.
A. 
- 
= 1
B. 
- 
= 1
C. 
- 
= 1
D. 
- 
= 1
Find the center and the radius of the circle.x2 + y2 - 14x - 18y = 0
A. (7, 9); r = 
B. (7, 0); r = 
C. (8, 9); r = 
D. (7, 9); r = 
Assume that a survey of 275 people is taken to determine the opinions of doctors, teachers, and lawyers on a proposed piece of legislation, with the results as shown below. A person is chosen at random from those surveyed. Refer to the table to find the probability the person favors the legislation. Number that favorNumber that opposeNumber with no opinionTotalDoctors713418123Teachers762310109Lawyers2014943Total1677137275
A. 
B. 
C. 
D. 
E. 