There are 3 choices for the pants. Having selected a pair of pants there are 2 choices for a shirt. Therefore there are 3 * 2 possible choices for a pair of pants and a shirt. Each of these 6 possible choices can be combined with each of the 3 possible choices of a pair of shoes. So, the total number of choices of outfit is given by:
Answer:
x =
± 
Step-by-step explanation:
Given
x² - 7x + 9 = 0 ( subtract 9 from both sides )
x² - 7x = - 9
Solve using the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2( -
)x +
= - 9 +
(x -
)² =
( take the square root of both sides )
x -
= ±
= ±
( add
x =
±
= 
Answer:
- 494
Step-by-step explanation:
Breaking down the summation into it;s component parts
= 4k -
k(k + 1) ← substitute k = 19
= (4 × 19 ) - 1.5 × (19 × 20)
= 76 - (1.5 × 380)
= 76 - 570
= 494
Answer:
a=405
Step-by-step explanation: