Solve by the quadratic formula. Simplify answers. Use i notation for nonreal complex numbers.x2 - 14x + 53 = 0
A. x = 7 ± 2i
B. x = 5, 9
C. x = 7 ± 4i
D. x = 7 + 2i
Answer: A
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Solve the problem.In the past, Michael had the following success shooting free throws after being fouled. 
of the time he got 0 points, 
of the time 1 point, and 
of the time 2 points. How could the digits 0-9 be distributed among these three possibilities to simulate the probabilities of shooting 0, 1, and 2 points?
A. 0 - 2 = 0 points, 3 - 6 = 1 point, and 7 - 9 = 2 points B. 0 - 3 = 0 points, 4 - 6 = 1 point, and 7 - 9 = 2 points C. 0 - 2 = 0 points, 3 - 5 = 1 point, and 6 - 9 = 2 points D. Not possible to create a simulation with the digits 0 - 9.
Solve the problem. Assume all variables represent nonnegative real numbers.For f(x) = 
and g(x) = 
- 
, find (f ? g)(x).
A. (f ? g)(x) = x30
- x28
B. (f ? g)(x) = x4
- x4
C. (f ? g)(x) = x5
- x3
D. (f ? g)(x) = x3
- x4
Find an equation for the ellipse described.Center at (3, 4); focus at (6, 4); vertex at (8, 4)
A. 
+ 
= 2
B. 
+ 
= 1
C. 
- 
= 1
D. 
+ 
= 1
Find the probability of the event.A die is rolled 18 times and two threes come up.
A. .099 B. .060 C. .160 D. .230