F(x) = x(2 - x)
g(x) = 3x
Substitute 3x for x in the function f(x)
h(x) = f(x) <span>∘ g(x) = f(g(x)) = 3x(2 - 3x)
</span>
Answer:
-15
Step-by-step explanation:
Answer:
2 hours: 3968 <u>[I don't understand the $ sign in the answer box]</u>
At midnight: 12137
Step-by-step explanation:
The bacteria are increasing by 15% every hour. So for every hour we will have what we started with, plus 15% more.
The "15% more" can be represented mathematically with (1 + 0.15) or 1.15. Let's call this the "growth factor" and assign it the variable b. b is (1 + percent increase).
Since this per hour, in 1 hour we'll have (3000)*(1.15) = 3450
At the end of the second hour we're increased by 15% again:
(3450)*(1.15) = 3968.
Each additional hour add another (1.15) factor, If we assign a to be the starting population, this can be represented by:
P = a(1.15)^t for this sample that increase 15% per hour. t is time, in hours.
If a represents the growth factor, and P is the total population, the general expression is
P = ab^t
Using this for a = 3000 and b = 1.15, we can find the total population at midnight after starting at 2PM. That is a 10 hour period, so t = 10
P = (3000)*(1.15)^10
P = 12137
Answer:
answer is
Step-by-step explanation:
The number of students in order from least to greatest is 14<24<27<54
Step-by-step explanation:
Total students = 150
16% students play soccer
No. of students play soccer = 
9/25 play basketball
No. of students play basketball = 
 play football
No. of students play football = 
No. of students do not play anything = 14
The number of students in order from least to greatest is 14<24<27<54
