Answer:
A quadratic equation is of the form: .....[1] where
a. b and c are coefficient and x is the variable.
The solutions of the equation are;
Given the function:
To find the zero of this function.
Set f(x) = 0
⇒
On comparing this with equation [1] we have;
a = 6, b = 12 and c = -7
then;
or
or
Therefore, the zeros of the quadratic function f(x) are;
and
The answer is: 23.77 hours
<h2>Why?</h2>Where:
Total(t) is equal to the amount for a determined time (in hours)
<em>Start</em> is the original amount
<em>t </em>is the time in hours.
For example, it's known from the statement that the bacteria double their population every 15 hours, so it can be written like this:
To calculate how long it takes for the bacteria cells to increase to 300, we should do the following calculation:
So, to know if we are right, let's replace 23.77 h in the equation:
Total(t)=100*2^\frac{23.77}{15}=299.94
and 299.94≅300
Have a nice day!