Answer:
f(x) = x² - 4x - 12
Step-by-step explanation:
f(x) = (x - 6)(x + 2)
f(x) = x² + 2x - 6x - 12
f(x) = x² - 4x - 12
Polygon A,B,C,D,E and polygon L,M,N.O.K
I assume the sentences:
"23 employees speak German; 29 speak French; 33 speak Spanish"
mean these speak ONLY the respective languages other than English.
Then the calculations boil down to those who speak ONLY two languages, noting that 8 speak French, German and Spanish, which need to be subtracted from
1. French and Spanish: 43-8=35 (speak only two foreign languages)
2. German and French: 38-8=30 (speak only two foreign languages)
3. German and Spanish: 48-8=40 (speak only two foreign languages).
Now We add up the total number of employees:
zero foreign language = 7
one foreign language = 23+29+33=85
two foreign languages = 30+35+40=105
three foreign languages=8
Total =7+85+105+8=205
(a) Percentage of employees who speak at least one foreign lanugage = (85+105+8)/205=198/205=.966=96.6%
(b) Percentage of employees who speak at least two foreign lanugages = (105+8)/205=113/205=.551=55.1%
It takes 8 trees to make a stack 1.2 metres tall, so if ut takes 20 minutes per tree, then it will take 8 × 20 or 160 minutes, or 2 hours 40 minutes.
