Twenty people on a softball team show up for a game and of them, six are women. We aim
to assign the 10 positions of the softball team from those who have shown up.
(a) How many ways are there to choose 10 players such that at least two of these players
must be a woman?
(b) How many ways are there to choose 10 players such that at most four players must be
women?
(c) How many ways are to choose 10 players such none of these players are women?

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.

a 90 degree rotation across the the origin followed by a reflection across the x-axis.

step-by-step explanation: