The clostridium tetani bacterium is cultured to produce tetanus toxin used in an inactive form for the tetanus vaccine. the amount of toxin produced per batch increases with time and then becomes unstable. the amount of toxin b(t) (in grams) as a function of time t (in hours) can be approximated by:

b(t)= -1/1152t^2 + 1/12t

a. how many hours will it take to produce the maximum yield?

b. what is the maximum yield?

use the standard form of a parabola given by y = ax2 + bx + c to write an equation of a parabola that passes through the given points.

(2,-4), (1,1), and (-1,-7)

12*c

step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

i will with my problems and all the other things that need to   be on by the way

step-by-step explanation:

just watch memes

step-by-step explanation:

it me < 3