STEPS TO GET THE CORRECT ANSWER:
First write your question like this:
{ ( [9x] [-31/8] ) - ( [7x] [+13/8] ) }
2: You need to subtract 9x and 7x from (9x-31/8)-(7x+13/8) you get 2x. So now you know that the answer has 2x. Eleminate A) and D).
3: Then need to subtract -31/8 from +13/8. You get -11/2.
Turn -11/2 into a mixed number you will get -5 1/2.
4: Put 2x and -5 1/2 together and you would get 2x-5 1/2
But answer C.) is closest to 2x-5 1/2 so the answer is
ANSWER: C.) 2x-4 1/2
Amount of cubed cheeses that Veronica wants to buy =1 3/4 pounds
=7/8 pounds
Weight of the container in which Mr. Sand places the cube =1/16 pounds
Weight of the cubed cheese and container together =1 1/4 pounds
=5/4 pounds
Then the amount of cubed cheese placed by Mr.Sands =(5/4-1/16) pounds
=(20-1)/16 pounds
=19/16 pounds
So the quanity of more cheese that Mr.Sands need to add to the scale =(7/4-19/16)pounds
=(28-19)/16pounds
From the above debuction we can easily conclude that Mr.Sand need to add 9/16pounds of cubed cheese to fullfil the order placed by Veronica
As far a domain, you only care about the denominator and radicals.
f(x) = 2 - √x is the denominator, so it can't be 0.
Also x is under a radical, so x can't be negative.
Set the denominator equal to 0 to find the excluded values.
2 - √x = 0
-√x = -2
√x = 2
x = 4, so 4 is an excluded value
The domain is all real numbers greater than or equal to 0, except 4.
[0, 4) U (4, ∞)
0 ≤ x < 4 U x > 4