Answer:
C
Step-by-step explanation:
The number of people who have heard a rumor is modeled by the logistic function:
And we want how many days has passed since the rate at which the rumor spread began to decrease.
First, the numerator tells us that the total number of people who will have heard the rumor by the end is 260.
Recall that the point of maximum growth is always half of the maximum capacity.
In this case, that point will be 260/2 = 130.
For a logistic function, the rate of all values to the left of the halfway point is increasing, (i.e. concave up), while the rate of all values to the right is decreasing (i.e. concave down). Therefore, we can solve for x when f(x) = 130:
Cross-multiply:
Distribute:
Solving for x:
Therefore:
Taking the natural log of both sides:
Therefore:
After about 52.3 days, the rate at which the rumor started spreading will begin to decrease.
The range is the highest number in a set minus the lowest number.
100 is the highest number, and
72 is the lowest number
100-72 = 28
Therefore 28 is the range.
Answer:
The slope intercept is 42
Step-by-step explanation:
Answer:
y=15; y=5
Step-by-step explanation:
y=x2+2x
plug in x as 3:
y=3 2+ 2*3
y=9+6
y=15
Next problem:
y=x3-3
plug in x as 2:
y=2 3-3
y=8-3
y=5