An airplane at cruising altitude starts descending for a landing. the function f (t) = 33,600 – 1500t describes its altitude t minutes after starting its descent. what is the airplane's altitude after 10 minutes?

ANSWER

18,600

EXPLANATION

The function that describes the altitude of the plane t minutes after starting its descent is

To find the airplane's altitude after 10 minutes, we substitute t=10 into the function.

Therefore the airplane's altitude after 10 minutes is 18,600 units.

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