Answer:
2
Step-by-step explanation:
A commutative function means that when you insert one function in space of x in the other function, they will equal x. The equation is f(g(x)) = g(f(x)) = x
So, 2(
) - 1 = 
If you multiply both sides by <em>a</em>, you get 2<em>a</em>() - a = (2x-1)+1
Simplify it 2<em>a</em>() - <em>a</em> = 2x
Add <em>a</em> to both sides 2<em>a</em>() = 2x +<em>a</em>
The two <em>a</em>s on the left cancel out 2(x+1)=2x+<em>a</em>
Distribute the 2 2x+2=2x+<em>a</em>
Then subtract 2x from both sides 2 = <em>a</em>
Therefore, <em>a</em> = 2
Hope this helps!
Answer:
Lee has 19 nickels and 8 dimes
Step-by-step explanation:
hello, I think I can help you with this
Step 1
Let
value of a nickel=$0.05
value of a dime=$0.10
number of nickels=N
number of nickels=D
According to the question data Lee has $1.75 in dimes and nickels.
0.05N+0.1D=1.75,equation(1)
also, the number of nickels is 11 more than the number of dimes.mathematical speaking
N=11+D,equation(2)
Step 2
replace N from equation (2) into equation (1)
0.05N+0.1D=1.75
0.05(11+D)+0.1D=1.75
Now, solve for D
0.55+0.05D+0.1D=1.75
0.15D=1.75-0.55
D=1.2/0.15
D=8
Step 3
replace the value of D into equation(2) to obtain N
N=11+8
N=11+8
N=19
Hence, Lee has 19 nickels and 8 dimes
Have a great day.
The domain is the input values, which are the x values.
The x values in the given pairs are: 8, 0,4,-3
The domain set is (-3, 0, 4, 8)
Production by Mexico is the same percentage (3%) of world production for the years of interest, so the relation is
... (mexico production) = 0.03 × (world production)
Then, dividing by 0.03, we get
... (mexico production)/0.03 = (world production)
The change in world production is the difference between the amounts for the two years, so is
... (production increase) = (2007 world production) - (2000 world production)
... = 24/0.03 - 18/0.03 = (24 - 18)/0.03
... = 6/0.03 = 200 . . . . million metric tons
The appropriate choice is (D) 200.
Step-by-step explanation:
step 1. 1-12/20 = 1.6
step 2. 1.6 = 160%.
