If you’re simplifying it’s 100x^2+200x+5
Answer:
The equation has a maximum value with a y-coordinate of -21.
Step-by-step explanation:
Given

Required
The true statement about the extreme value
First, write out the leading coefficient

means that the function would be a downward parabola;
Downward parabola always have their vertex on top of the parabola and as such, the function has a maximum value.
The maximum value is:

Where:

So, we have:



Substitute
in 


<em>Hence, the maximum is -21.</em>
Answer:
-1.9
Step-by-step explanation:
Answer:
1.
2.543.6
Step-by-step explanation:
We are given that
y(0)=200
Let y be the number of bacteria at any time
=Number of bacteria per unit time


Where k=Proportionality constant
2.
,y'(0)=100
Integrating on both sides then, we get

We have y(0)=200
Substitute the values then , we get


Substitute the value of C then we get





Differentiate w.r.t

Substitute the given condition then, we get



Substitute t=2
Then, we get 

e=2.718
Hence, the number of bacteria after 2 hours=543.6
Answer:
5 hours
Step-by-step explanation:
We can write a ratio
20 laps 100 laps
-------------- = --------------
1 hour x hours
Using cross products
20x = 100
Divide by 20
20x/20 = 100/20
x = 5 hours