Answer:
f(g(7)) = 22
Step-by-step explanation:
First find the general form of the new equation, f(g(x)):
f(x)=3x + 2
g(x)=x - 1/3
f(g(x)) = 3(x - 1/3) + 2
You can simplify that, or alternatively just plug in 7 now and solve:
f(g(7)) = 3(7 - 1/3) + 2
f(g(7)) = 3(20/3) + 2
f(g(7)) = 20 + 2
f(g(7)) = 22
Answer:
39,960 is divisible by all of the listed numbers.
Step-by-step explanation:
The sum of digits is 3+9+9+6+0 = 27, and the sum of those digits is 2+7=9.
This tells you the number is divisible by 3 and 9.
The number is even and ends in 0. Together with divisibility by 3, this tells you the number is divisible by 6. The 0-ending tells you the number is divisible by 2 and 5 and 10.
The last two digits are 60, a number that is divisible by 4, so the number is divisible by 4.
39,960 is divisible by all of the numbers listed: 2, 3, 4, 5, 6, 9, 10.
From the graph it's obvious that the mean of the first set of data is 15 and that of the second set of data is 7. I'd call that "a large difference."
Answer:
Step-by-step explanation:
For a geometric sequence, we have to find the explicit formula for the nth term.
If d(1) is the first term of a geometric sequence with common ratio r, then the sequence is given by :
d(1), d(1) × r, d(1) × r², d(1) × r³, .......
Therefore, the nth term of the sequence is given by
and this id the explicit formula. (Answer)
Let x represent the number of 12 packs
Let y represent the number of 6 packs
12x+6y=120
Rearrange for x
12x=120-6y
X=10-1/2y
Rearrange for y
6y=120-12x
Y=20-2x
Hope this helps!
