Elaine deposited $50 into a bank account. Each month, the balance in the account increases by 0.25%. The amount of money in her bank account n months later is expressed by the sequence a n , where a n = 50(1.0025) n . Which of the following is a recursive definition for the same sequence?
A. a 1 = 50 a n+1 = 0.0025 a n
B. a 1 = 50 a n+1 = 1.0025 a n
C. a 1 = 50.125 a n+1 = 0.0025 a n
D. a 1 = 50.125 a n+1 = 1.0025 a n

f(x)=2/3x-8, which give g(x) the greatest value.

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