8x+6 would still be 8x+6 because you cannot add 6 to 8x. remember, 8x means x, 8 times.
You did south, north, correctly
but last one
twice north is 2 times (x+48) or 2x+96
so
s=x
n=x+48
c=4x
s+c>2x+96
subsitute s for x and 4x for c
x+4x>2x+96
5x>2x+96
minus 2x both sides
3x>96
divide both sides by 3
x>32
it cannot be equal to 32 so
the minimum value is 33 spaces in south car park
Answer:
7 1/8
4 + 7/8 + 2 + 1/4
4+2=6
7/8 + 1/4=9/8 and 9/8 is equal to 1 1/8
6+1+1/8= 7 1/8
Question:
Raul works at a movie theatre. The function f(x) represents the amount of money Raul earns per ticket, where x is the number of tickets he sells. The function g(x) represents the number of tickets Raul sells per hour, where x is the number of hours he works. Show all work to find f(g(x)), and explain what f(g(x)) represents.
f(x) = 2x2 + 16
g of x equals the square root of the quantity 5 x cubed
Answer:
f(g(x))=
Step-by-step explanation:
Given:
f(x) = 
g(x) = 
f(x) represents the amount of money Raul earns per ticket
x is the number of tickets he sells
g(x) represents the number of tickets Raul sells per hour
To find:
f(g(x)) = ?
Solution:
f(g(x)) represent the amount Raul earns by selling tickets for x hours
We know,
f(x) = 
f(g(x)) =
The square root and power 2 cancel each other
f(g(x)) = 
f(g(x)) = 
So at x hours
Raul earns
For example lets assume Raul works for 5 hours, then the amount he earns will be
f(g(x)) = 
f(g(x)) = 10(125) +16
f(g(x)) = 1250 +16
f(g(x)) = 1266
You can also find the amount Raul earns by
g(x) = 
g(x) = 
g(x) = 25
Substituting in f(x)
f(g(x)) = f(25)
f(25) = 
f(25) = 2(625) +16
f(25) = 1250 + 16
f(25) = 1266
so Raul will be earning 1266 if he sells tickets for 5 hours
Answer:
Step 6 is done by Additive Property of Equality, also known as Compatibility of Equality with Addition, which is defined by the following expression:
, 
Step-by-step explanation:
Step 6 is done by Additive Property of Equality, also known as Compatibility of Equality with Addition, which is defined by the following expression:
, 
1)
Associative property/Compatibility with addition
2)
Associative and commutative properties/Definition of subtraction
3)
Existence of the additive inverse/Definition of addition
4)
Modulative property/Result