The answer would be f(x)= x+47
Given:
Line segment NY has endpoints N(-11, 5) and Y(3,-3).
To find:
The equation of the perpendicular bisector of NY.
Solution:
Midpoint point of NY is




Slope of lines NY is




Product of slopes of two perpendicular lines is -1. So,


The perpendicular bisector of NY passes through (-4,1) with slope
. So, the equation of perpendicular bisector of NY is




Add 1 on both sides.

Therefore, the equation of perpendicular bisector of NY is
.
Answer:
domain (-4,infinity) range (negative infinity, infinity)
Step-by-step explanation:
The domain is the x axis. the x axis starts at -4 and keeps going meaning it goes to infinity. the range is the y axis. the range has no determined starting point or end point meaning it goes to negative infinity and positive infinity
Answer:
The point of maximum growth is at x=0.82
Step-by-step explanation:
Given a logistic function

we have to find the point of maximum growth rate for the logistic function f(x).
From the graph we can see that the carrying capacity or the maximum value of logistic function f(x) is 24 and the point of maximum growth is at
i.e between 0 to 12
So, we can take
and then solve for x.

⇒ 
⇒
⇒ 
⇒ log 3=-1.3x
⇒ -0.4771=-1.3.x ⇒ x=0.82
Hence, the point of maximum growth is at x=0.82
Answer:
L = 9.91 decibels.
Step-by-step explanation:
The loudness, L is inversely proportional to the square of the distance, d, from the source of the sound.
i.e L

L = 
Where k is the constant of proportionality.
When d = 14 feet and L = 85 dB, then;
k = L x 
= 85 x 
= 16660
k = 16660
L = 
Thus, when d = 41 feet, then;
L = 
= 
= 9.91077
L = 9.91 dB
The loudness is 9.91 decibels.