Apopulation of 240 birds increases at a rate of 16% annually. jemel writes an exponential function of the form f(x) = abx to represent the number of birds after x years. which values should she use for a and b?

Hence the values of a and b are given by:

a=240

and b=1.16.

Step-by-step explanation:

It is given that:

A population of 240 birds increases at a rate of 16% annually.

i.e. the initial population of birds is 240.

Also they are increasing at a rate of 16% =0.16.

Hence, it clearly implies that the growth is exponential and the function that represents the population of the birds after x years is given by:

Hence, on comparing our function with the exponential function:

we have:

a=240

and b=1.16.

where is the picture

step-by-step explanation:

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0