Answer:
f(g(3)) = 56
g(f(3)) = 25
Step-by-step explanation:
fog = f(2x+1)
f(2x+1) = (2x+1)^2 + 2x+1
(2x+1)^2 + 2x+1 = 4x^2+6x+2
f(g(x)) = 4x^2+6x+2
f(g(3)) = 4(3)^2+6(3)+2
f(g(3)) = 56
gof = g(x^2+x)
g(x^2+x) = 2(x^2+x)+1
2(x^2+x)+1 = 2x^2 + 2x + 1
g(f(x)) = 2x^2 + 2x + 1
g(f(3)) = 2(3)^2 + 2(3) + 1
g(f(3)) = 25
Answer
11 children tickets were sold and 10 adult tickets were sold.
Step-by-step explanation:
Okay first set your variables
x=adults 6x
y= children 4y
the first equation will be 6x+4y=104
the second will be x+y=21 because she sold 21 tickets
now this is a substitution equation. so, we rearrange the second equation so y=-x+21
now substitute the y in the first equation
6x+4(-x+21)=104
distribute the properties and you get
6x-4x+84=104
2x+84=104
move your 84 and change the sign
2x=20
x=10
now you put x into the first equation,
6(10)+4y=104
60+4y=104
move your 60 and change the sign
4y=44
y=11
So 11 children tickets were sold and 10 adult tickets were sold.
In one minutes the answer would be 5 x = 300 if you want one hour then it would be 300 x 60 = 18,000
Answer: For each drink it is $27.25 because if you divide 245.25 by 9 so therefore you answer is 27.25
Step-by-step explanation:
$1200 / 22.5% = 1200 / 0.225= 5333.33
Proof: How much is 22.5% of $5333.33? --> 5333.33 x 0.225 = 1200
The dollar value of the item is $5333.33.