Answer:
A) Area = 
B) Domain = {x < 24}
Step-by-step explanation:
<u>Complete Question:</u>
A car dealership has 24ft of dividers with which to enclose a rectangular play space in a corner of a customer lounge. The sides against the wall require no partition. Suppose the play space is x feet long.
A) express the area of the play space as a function of x
B) find the domain of the function
Solution:
A)
The rectangle has area of length * width
length is x
so width will be 24 - x
Hence, the area will be:
Area = x(24 - x)
Area = 
B)
Domain is the set of x values that make the function defined.
The domain will be all values less than 24.
Because if you take 24, the area would be 0 [doesn't make sense]
if you take anything over 24, the area would be negative [not possible]
Hence, the domain is:
Domain = {x < 24}
The wording of this question is a bit confusing... You can't write a sequence in sigma notation, but rather a series or sum. I think the question is asking you to write the sum of the sequence,

which would be

in sigma notation.
To do this, notice that the denominator in each term is a power of 2, starting with
and ending with
. So in sigma notation, this series is

Answer:
6.3
Explanation:
To get from 4.5 to 5.4, you need to add 0.9. If you add 0.9 two more times, you get 7.2. Therefore, the middle term should be 6.3. I don't know if you made a typo and forgot the decimal when writing the options cause it says "63", but I believe the answer is 6.3.
4x-10=18
4x=18+10
4x=28
x=28/4
<span>
x=7</span>
12×50=600
12×49=588
600-12=588