Answer:
Pop in 1990 = 81 million rats
Pop in 2005 = 127 million rats
Step-by-step explanation:
Given the function, the population of rats in 1990 is when we replace t with "0" which strictly gives the coefficient 81 that represents 81 million rats.
The rat population in 2005 is given by the formula when t = 15
This is: approximately 127 million rats.
To find the roots of the quadratic equation x^2 + 2x + 5 = 0 is the same as solving it for x.
The formula to get x₁ and x₂ is: x₁,x₂=(-b⁺/₋√(b²-4ac))/(2a) where in our case a=1, b=2 and c=5.
Lets input the numbers:
x₁,x₂= (-2⁺/₋√(2²-4*1*5))/(2*1) = (-2⁺/₋√(4-20))/2, = (-2⁺/₋√(-16))/2
We see that we have a minus sign under the square root so the solutions or roots for our quadratic equation are going to be complex numbers:
x₁ = (-2+4i)/2 = -1+2i
x₂ = (-2-4i)/2 = -1-2i
So our roots are complex and are: x₁= -1+2i and x₂= -1-2i.
the answer is going to be 108 miles per day