Answer:
Step-by-step explanation:
we have a exponential function of the form
where
y is the population of bacteria
a is the initial value
r is the rate of growth
x is the number of hours
we have
a=3,000 bacteria
For x=2, y=3,300
substitute
Apply square root both sides
substitute in the equation
<u><em>Predict how many bacteria will be present after 16 hours</em></u>
For x=16 hours
substitute
The real solution occurs when the graph intersects the x axis,
In the problem shown, the graph does not intersect the x axis, therefore it has no real solution, this means that the answer must have a complex conjugate pair
The answer is
function f has exactly two complex solutions
If x is the age and y is the diameter of the trunk, write the equation:
ax+b=y
We must solve for a and b with the given information.
If (x, y) is (1, 4), we have:
a+b=4
If (x, y) is (10, 25), we have:
10a+b=25
Multiply the first equation by 10 to get:
10a+10b=40
Subtract the second equation from this to get:
9b=25
Thus b=25/9. a=4-25/9=11/9, so our equation is 11x/9+25/9=y.