Answer:
36,902.10 US-Dollar
Step-by-step explanation:
If -5/2 is a root of that 3rd degree polynomial, then when we do synthetic division on it we will get a remainder of 0, and the resulting numbers from our math will then become the coefficients to a new polynomial, one degree less than what we started with, called the depressed polynomial. Put -5/2 outside the "box" and the coefficients inside: -5/2 (2 7 1 -10). Bring down the
2 and multiply it by -5/2 to get -5. Put that -5 up under the 7 and add to get
2. Multiply that 2 by the -5/2 to get -5. Put that -5 up under the 1 and add to get
-4. Multiply that by -5/2 and get 10. Put that 10 up under the -10 and add to get a remainder of 0. Those bolded numbers now are the coefficients of our new polynomial, one degree less than what we started with. That polynomial is
. Now we need to factor that to find the other 2 roots to our polynomial. If we factor a 2 out we have
,That factors easily to 2(x+2)(x-1). That gives us x+2=0 and x = -2, x-1=0 and x = 1. The 3 solutions or zeros or roots are -5/2, -2, 1. There you go!
The correct answer is a.) 12.4
In the case of bacteria, we use the continuous growth equation:
Final=Initial×e∧(r×t)
In other words, the final amount is equal to the initial amount times e to the rate times time. In order to find your rate, you would plug in the numbers as follows:
3600=3000×e∧(6r)
Therefore: r=0.03
Next, you would plug in the r value and 13 hours into the equation to solve for the final amount.
F=3000×e∧(13×0.03)=4,453 bactera after 13 hours
It will help you.
5*x*4*x²
= 20*x³
it equals 20x³