Answer:
x is greater than -2 and less than or equal to 3
Step-by-step explanation:
so the 3x + 1 is greater than -5
so 3x is greater than -6
we divide both sides by 3
then we find out that x is greater than -2
we also know that 3x + 1 is less than or equal to 10
so 3x is less than or equal to 9
we divide both sides by 3
then we find out that x is less or equal to 3
so we can say that x is greater than -2 and less than or equal to 3
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:
58 minutes.
Step-by-step explanation:
From the question, Karen worked on the model in two windows;
1) 11.13 AM - 11.54 AM = 41 minutes
2) 1.29 PM - 1.46 PM = 17 minutes.
Hence, the total amount of time Karen spent working on the Shuttle model is:
41minutes + 17minutes = 58 minutes.
