For discontinuity of the function:
x² - 7 x - 8 ≠ 0
x² - 8 x + x - 8 = 0
x ( x - 8 ) + ( x - 8 ) ≠ 0
( x - 8 ) ( x + 1 ) ≠ 0
The points of discontinuity are: x = - 1 and x = 8.
As for the Domain of the function:
x ∈ ( - ∞, - 1 ) ∪ ( - 1 , 8 ) ∪ ( 8, +∞ ).
Answer:
4.8 megabytes / minute.
Step-by-step explanation:
At the beginning of recording the download you have 24 megabytes.
15 minutes later, you have 96 megabytes.
In 15 minutes you have downloaded 96 - 24 = 72 megabytes
So the question turns out to be a proportion of
x megabytes / 1 minute = 72 megabytes / 15 minutes.
x = 72/15
x = 4.8 megabytes / minute
C=11.27π feet
Diameter=11.27 feet. Hope it help!
