Bioavailability is a term that refers to the fraction of an antibiotic dose taken orally that is absorbed into the bloodstream. suppose that, for a dosage of x mg, the bioavailability is h(x) = 1 2 x mg. if x mg enters the bloodstream, suppose that the amount eventually absorbed into the site of an infection is given by g(x) = 4x/(x + 4) mg. finally, if x mg is absorbed into the site of an infection, suppose that the number of surviving bacteria is given by f(x) = 3200/(8 + x2), measured in colony forming units, cfu. 1.) derive the function that relates oral dosage to the number of surviving bacteria. you do not need to simplify.

2.) suppose the antibiotic is instead administered by injection. derive the function that relates dosage to the number of surviving bacteria. you do not need to simplify. why is this different than the formula obtained in part b?

the answer is d on edge

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.