Answer:
option D
Step-by-step explanation:


(fog)(x) = f(g(x))
Plug in g(x) in f(x)
We plug in 1/x+3 in the place of x in f(x)

To simplify it we take LCD
LCD is (x+3)(x+3)


All the denominators are same so we combine the numerators


Option D is correct
Since they're vertical angles, they're equal in degree measure
since they're equal, we can make the two expressions equal to each other
5a - 1 = 2a + 20
add 1 to both sides
5a = 2a + 21
subtract 2a from both sides
3a = 21
divide both sides by 3a
a = 7
now, plug the answer you found for a into one of the two expressions
5a - 1 becomes (5*7) - 1, which equals 34
to double check that they're equivalent (since they're vertical angles)
2a + 20 becomes (2*7) + 20, which equals 34
both angles are 34 degrees!
Answer:
could you include a pic please?
Answer:
$5.40
Step-by-step explanation:
To find the increase we need to consider our variables.
Current Rate = $4.50
Increase Percentage = 20% or 0.20
Now we can find the new rate by multiplying the Current Rate to the Increase Percentage and add it to the Current Rate again.
Total Price w/ Increase = ($4.50 x 0.20) + $4.50
Total Price w/ Increase = $0.90 + $4.50
Total Price w/ Increase = $5.40