Solution:
Outfit Shirt Slacks Tie
Outfit 1 Blue Black Red
Outfit 2 Blue Grey Red
Outfit 3 White Black Red
Outfit 4 White Grey Red
Outfit 5 Black Black Red
Outfit 6 Black Grey Red
We take the outfits 1, 2 , 5 and 6 as a subset of the sample space.
So these 1, 2, 5 and 6 consists either a blue shirt or a black shirt.
The subset consists of all the outfits that do not have a white shirt.
So the correct options are :
1. (Choice A)
The subset consists of all the outfits that do not have a white shirt.
2. (Choice C)
The subset consists of all the outfits that have a black shirt.
Answer:
f(2) = 12
f(x) = 7, x = -3, 1
Step-by-step explanation:
<u>a)</u>
plug in x as 2
f(x) = 2^2 + 2(2) + 4
f(x) = 4 + 4 + 4
f(x) = 12
<u>b)</u>
replace f(x) with 7
7 = x^2 + 2x + 4
x^2 + 2x - 3 (move 7 to other side)
Factor
ac: -3x^2
b: 2x
split b into 3x, -x
(x^2 -x) + (3x - 3)
↓ ↓
x(x-1) + 3(x-1)
Factor: (x-1)(x+3) = 0
Solve using Zero Product Property:
x - 1 = 0, x + 3 = 0
x = 1, x = -3
To solve 7-2a-5-14=-2+3a :
1) combine like terms: 7-19 - 2a = -2 + 3a, and then -10 = 5a
2) solve this equation for a: a = -10/5 = -2.
The solution of 7-2a-5-14=-2+3a is a = -2.
Answer:
BC×AD=K
CKD= 180-32-79= 2x +180- 5x
-> x = (-32-79) : (-3) =37
