Answer:
C
Step-by-step explanation:
Keep a consistent ratio of 4:2, and we need a total of 36 glasses of punch.
So if the ratio 4:2 is a total of 6, then we would need 6 times the amount because 6*6 is 36. So 4 and 2 * 6 or 6 (4+2) = 24+12. So the answer is C.
Hope this helps in some way.
Answer:
f(x) and g(x) are inverses
Step-by-step explanation:
* Lets check the inverse function
- If f(x) = y has a domain = x and a range = y, then f^-1 is the
inverse of f with a domain = y and a range = x
- f(x) = f^-1(x) = x
* Now lets solve the problem
∵ f(x) = 8/x
∵ g(x) = 8/x
∴ fg(x) = f(8/x)
∴ fg(x) = 8/(8/x) = 8 ÷ 8/x ⇒ change division sign to the multiplication
sign and reciprocal the fraction after the division sign
∴ fg(x) = 8 × x/8 = x
* Now lets find gf(x)
∴ gf(x) = g(8/x)
∴ gf(x) = 8/(8/x) = 8 ÷ 8/x
∴ gf(x) = 8 × x/8 = x
∵ f(x) = f^-1(x) = x
* fg(x) = gf(x) = x
∴ f(x) and g(x) are inverses
Answer:
12
Step-by-step explanation:
Through 12 years he would have painted 72 paintings and since he hasn't sold two of them he has only sold 70.
<span>The answer is: 1, 2, 7, 14 .
</span>_____________________________________________________
Explanation:
________________________________________________
FIrst, list all the factors of 42 (positive integers):
________________________________________________________
1, 42
2, 21,
3, 14,
6, 7
_________________________________________________
Then list all the factors of 28 (positive integers):
____________________________________________________
<span> 1, 28
2, 14,
4, 7
</span>_____________________________________________________
Now, list all numbers that occur for BOTH the factors of "28" AND the factors of "42"
_____________________________________________________
1, 2, 7, 14
_____________________________________________________
The answer is: 1, 2, 7, 14 .
_______________________________________________________
