Answer:
First option: f(x) is greater
Answer: 1020 ways
Step-by-step explanation:
Let C= comedy
Let M= Mystery
Number of movies(comedy) = 10
Number of movies (mystery) = 10
The total number of movies from which selection is to be made is 10 + 10
= 20
We want to pick 3 movies from 10 comedies and 10 mysteries with at least one mystery.
The selection will be from;
Unconditional selection - (0 mysteries)
=unconditional selection - ( all comedy included)
= 20C3 - 10C3 For combination, [nCr = n! /(n-r) r! ]
= [20!/(20-3)!3!] - [10!/(10-3)!3!
= (6840/6) - (720/6)
= 1140 - 120
= 1020 ways
Answer:the width of the walkway is 5 feet
Step-by-step explanation:
Let x represent the width of the walkway.
The pool measures 10 ft by 20. If the walkway must have a uniform width around the entire pool, then the total length of the pool and the walkway would be 10 + x + x = 10 + 2x
The total width of the pool and the walkway would be 20 + x + x = 10 + 2x
The area covered by the pool and the cement walkway is 600 square feet. This means that
(10 + 2x)(20 + 2x) = 600
200 + 20x + 40x + 4x^2 = 600
4x^2 + 60x + 200 - 600 = 0
4x^2 + 60x - 400 = 0
Dividing through by 4, it becomes
x^2 + 15x - 100 = 0
x^2 + 20x - 5x - 100 = 0
x(x + 20) - 5(x + 20) = 0
(x - 5)(x + 20) = 0
x = 5 or x = - 20
The width cannot be negative. Therefore, the width of the walkway is 5 feet
You should get the app "photomath" that'll help you out alot!!!
Answer:
A. -25
Step-by-step explanation:
sana nakatulong :-)
