Answer:
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The domain of a function is the set of all possible values of x
The domain of the line with negative slope is the interval [1,3)
The domain of the line with slope equal to zero (horizontal line ) is the interval [3,5)
so
The domain of the piece-wise function is the interval [1,5)
The value of x=1 is included in the domain set
The value of x=5 is not included in the domain set
Answer:
It will take<u> 8.17 days</u> for a news story to reach 1,500,000 shares.
Step-by-step explanation:
Note: The correct exponential model is as follows:
y = 5⋅7^x ......................................... (1)
Where:
y = 1,500,000
x = ?
Substituting y = 1,500,000 into equation (1), we have:
1,500,000 = 5⋅7^x ........................ (2)
Taking the natural log of both sides of equation (2) and solve for x, we have:
ln1,500,000 = xln5.7
x = ln1,500,000 / ln5.7
x = 14.2209756660724 / 1.7404661748405
x = 8.17241379310345
Approximating to 2 decimall places, we have:
x = 8.17
Therefore, it will take 8.17 days for a news story to reach 1,500,000 shares.
So distance is 14.4 km=14400m
the speed of Amy is 14400/40=360m/min
Bill spend 40+20=60min to arrive at school so his spped is 14400/60=240m/min
the difference between speeds is 360-240=120m/min
Answer: Amy faster on 120m/min
