Because 16/5 and 48/15 are equivalent fractions
Answer:
The slope of the line is the ratio of the rise to the run, or rise divided by the run.
Step-by-step explanation:
HOPES THIS HELP :)
Answer:
Y=(-x/2)-3
Step-by-step explanation:
You have two points:
(0,-3) and (-4,-1)
The formula of line trough two points is:
(Y-y1)/(y2-y1)=(x-x1)/(x2-x1)
So put these two point like (x1,y1) and (x2,y2) you will get
(Y+3)/(-1+3)=(x-0)/(-4-0)
Y+3=2x/(-4)
Y=-x/2-3
If we want to find when the population of species A will be equal to the population of species B, we need to see when the two equations for the population of each species are equal, ie. equate them and solve for t. Thus:
2000e^(0.05t) = 5000e^(0.02t)
(2/5)e^(0.05t) = e^(0.02t) (Divide each side by 5000)
2/5 = e^(0.02t) / e^(0.05t) (Divide each side by e^(0.05t))
2/5 = e^(-0.03t) (use: e^a / e^b = e^(a - b))
ln(2/5) = -0.03t (use: if b = a^c, then loga(b) = c )
t = ln(2/5) / -0.03 (Divide each side by -0.03)
= 30.54 (to two decimal places)
Therefor, the population of species A will be equal to the population of species B after 30.54 years.
I wasn't entirely sure about the rounding requirements so I've left it rounded to two decimal places.
the conclusion i have reached is the 0
