Answer:
x = 4 ± 
Step-by-step explanation:
Given
(x - 12)(x + 4) = 9 ← expand the left side using FOIL
x² - 8x - 48 = 9 ( ad 48 to both sides )
x² - 8x = 57
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = 57 + 16
(x - 4)² = 73 ( take the square root of both sides )
x - 4 = ±
( add 4 to both sides )
x = 4 ± 
Answer:
3
Step-by-step explanation:
- <em>Each of the seven happy clowns has a red nose.</em>
This means there are (15-7) 8 sad clowns.
- <em>Five of the sad clowns have red noses. </em>
This means out of 8 sad clowns, 5 have red noses. So the clowns that have to act sad and have red noses are (8-5) 3.
So, Increase = New Number - Original Number. Therefore, Increase = 283 - 147 which equals 136.
136 = 283 - 147.
Then you want to divide the increase by the original number and multiply the answer by 100.
136/147 = 0.92
0.92 * 100 = 92.
Final Answer: The employee count has increased by 92%. I hope this helps.
The probability of not drawing a penny is 13/20, or 0.65, or 65%
1 - 3/5 = 5/5 - 3/5 = 2/5 = 0.4 = 40%