Suppose that the percent p (as a decimal) of people who could correctly identify two of eight defendants in a drug case t days after their trial began is given by:

p(t) = t^2+ 8.1t+ 0.06

a. Find the number of days before the percent is maximized.
b. Find the maximum percent.

a) 4 days, b) Maximized percent = 16.46.

Step-by-step explanation:

Since we have given that

We need to find the maximum percent and number of days before the percent is maximized.

So, first we derivative the above p(t), we get that

Now, we will find the critical points :

So, we will check at t = -4.05, whether it gives maximum percent or not.

So, it becomes,

So, a) there would be 4 days before the percent is maximized.

b) maximum percent would be

Hence, a) 4 days, b) Maximized percent = 16.46.

where are the images of the functions i can only see the question you typed.

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is