Verify the identity.csc ? - sin ? = cos ? cot ?
What will be an ideal response?
csc ? - sin ? = 
- sin ? = 
= 
= cos ? ? 
= cos ? cot ?
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A couple is planning to have four children. Suppose that for this couple the probability of a boy is 46% and the probability of a girl is 54%. (Assume the gender of each child is independent from that of the other children.)What is the probability that they will have one girl and three boys?
A. 
B. 0.463 × 0.54
C. 0.54 + 0.46 + 0.46 + 0.46
D. 4 × 0.463 × 0.54
E. none of these
Solve the inequality and express the solution set in interval notation. Graph the solution set on the real number line.1.3x + 3.5 > 0.5x - 0.66
A. x > -5.19; (-5.19, ?)
B. x > -5.2; (-5.2, ?)
C. x < -5.19; (-?, -5.19)
D. x < -5.2; (-?, -5.2)
Write the new function.The linear function f(x) = 473x + 3420 provides an approximation of the annual cost (in dollars) of health insurance for a family of three, where 
represents 1993, 
represents 1994, and so on. Write a new function, g(x), that yields the same f(x)-values when the exact year number is entered.
A. g(x) = 473(1992 - x) + 3420 B. g(x) = 473(1993 - x) + 3420 C. g(x) = 473(x - 1993) + 3420 D. g(x) = 473(x - 1992) + 3420
Determine which ordered pair is a solution of the system.
A) (8, 1)
B) (–9, 3)
C) (–9,8)
D) (8, –1)
E) (1, –8)