After special medicine is introduced into a peril dish full of bacteria, the number of bacteria remaining in the dish decreases
rapidly. The relationship between the elapsed time t, in seconds, and the number of bacteria, N(t), in the Petri dish is modeled by the following function:
N(t)=50,000•(0.5) t/4.3
The Petri dish loses %50 of bacteria every ____ seconds
N(t)=50,000•(0.5) t/4.3
The Petri dish loses %50 of bacteria every ____ seconds
2 answers:
You might be interested in
Answer:
B
Step-by-step explanation:
This was originally a third degree polynomial:
, to be exact.
When you divide by -3, you are basically trying to determine if x + 3 is a zero of that third degree polynomial. The quotient is always one degree lesser than the polynomial you started with, and if there is no remainder, then x + 3 is a zero of the polynomial and you could go on to factor the second degree polynoial completely to get all 3 solutions. To perform the synthetic division, you always first bring down the number in the first position, in our case a 2. Then multiply that 2 by -3 to get -6.
-3| 2 4 -4 6
-6
2 -2
So far this is what we have done. Now we multiply the -3 by the -2 and put that up under the -4 and add:
-3| 2 4 -4 6
-6 6
2 -2 2
Now we multiply the -3 by the 2 to get -6 and put that up under the 6 and add:
-3| 2 4 -4 6
-6 6 -6
2 -2 2 0
That last row gives us the depressed polynomial, which as stated earlier here, is one degree less than what you started with:
