Answer:Suppose that the equations are:
The number of people increases exponentially as the temperature increases, so we can write this as a simple exponential relation.
N(T) = a0*r^(T)
Also, the number of people that leaves the park as the temperature increases are:
M(T) = a*T + b
So the combination of these equations can say the number of people that are arriving to the park minus the number of people that are leaving, this would be:
N(T) - M(T) = total change in the park population as the temperature changes = C(T)
C(T) = a0*r^(T) - a*T - b
Step-by-step explanation:
Angle of depression from a to fire is 90-30=60 from east-west horizontal
angle of depression from b to fire is 90-42=48 from east-west horizontal
So the angle from fire adjacent to the east-west horizontal is 180-60-48=72
Now we can use the law of sines to solve for the distances...
sin72/12mi=sin48/A=sin60/B
A=12sin48/sin72=9.38mi
B=12sin60/sin72=10.93mi
The quadratic equation with roots 1/α and 1/β is
<u>Solution:</u>
Given, roots of equation
We have to find equation whose roots are 1/α, and 1/β.
We know that,
Now, we know that, general form of an equation is
Then, equation whose roots 1/α and 1/β is
from above given equation,
y=mx+b
slope=m
m=1/2
b=6
start at 6 on x axis
go rise/run
^1 right 2 dot it go up one right 2 repeat till no room