Vitamins are organic molecules that are cofactors in many metabolic pathways. one of the important functions of the bacteria in the large intestine is to generate three vitamins: biotin and b12, which are both water soluble, and a third fat-soluble vitamin that is especially important in blood clotting. what is the fat-soluble vitamin produced by the bacteria in the colon?

Vitamin K

Explanation:

Vitamins A, D, E and K are the fat-soluble vitamins. Vitamin K is mainly required for the synthesis of blood-clotting proteins. Microbiota, the microbes present in our bodies ensure to maintain good health by the production of some important vitamins. For example, E. coli. and other bacteria present in the intestines of human beings serve to synthesize vitamin B and vitamin K. Vitamin K is required for the production of prothrombin in liver cells. Prothrombin is converted into thrombin during blood clotting.

links? do you have a link? i don't see anything?

answer-

the statement that f(x) = |x+a| + b has exactly one x-intercept is sometimes correct.

solution-

it solely depends on b, whether the function will have one or two or zero x intercept.

this plot of the given function, f(x) = |x+a| + b will be the basic absolute value graph i.e v shape, with vertex translated to (-a, b), instead of origin.

1-   if b is zero, the graph will have exactly one x-intercept, at x= -a

2- if b is positive, the whole graph will be above the x-axis, hence it will have no x-intercepts.

3- if b is negative, the graph will be below the x-axis, hence it will have two x-intercepts.

∴ the statement is sometimes true.