Solve the problem.The faculty at a college consists of 92 full-time teachers and 49 part-time teachers. Of the 92 full-time teachers, 41 are female. Of the 49 part-time teachers, 29 are female. Find the probability that a randomly selected teacher is male or works part-time.
A.
B.
C.
D.
Answer: D
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Sketch the graph of the equation. Identify the vertex and the intercepts.y = x2 - 4x + 8
A. Opens: Down;
Vertex: (2, -4);
x-intercepts: none;
y-intercept: (0, -8)
B. Opens: Up;
Vertex: (2, 4);
x-intercepts: none;
y-intercept: (0, 8)
C. Opens: Up;
Vertex: (2, -4);
x-intercepts: (0, 0) and (4, 0);
y-intercept: (0, 0)
D. Opens: Up;
Vertex: ;
x-intercepts: (1, 0) and (8, 0);
y-intercept: (0, 8)
Solve the problem.If a contractor charges $100 per visit plus $10 per hour, express the total charge C as a function of the number of hours worked, n
A. C = 100 - 40n B. C = 100n - 10 C. C = 100n + 40 D. C = 100 + 10n
Identify the graph of the equation as a parabola, circle, ellipse, or hyperbola.(x - 5)2 = 25 - y2
A. Parabola B. Hyperbola C. Ellipse D. Circle
Factor by grouping.15x2 + 18xy + 20xy + 24y2
A. (15x + 4y)(x + 6y) B. (3x + 4y)(5x + 6y) C. (3x + 4)(5x + 6) D. (3x - 4y)(5x + 6y)