Which of the following statements about natural selection is true? a. natural selection is a process whereby genes are selected randomly for preservation in the next generation. b. natural selection can be used by farmers to generate organisms with desirable traits. c. natural selection favors individuals that reproduce more than others. d. natural selection occurs in opposition to evolution.

C. Natural selection favors individuals that reproduce more than others.

Explanation:

Genetic variations present in the population are acted upon by natural selection. The organisms that have the adaptive traits which in turn make them able to survive and reproduce more than the other individuals are favored by natural selection.

Over generations, natural selection leads to the evolution of a new population with an increased frequency of the gene responsible for the selected adaptive trait.  

For example, the bacteria with antibiotic resistance were favored by natural selection as they can survive and produce more progeny in the presence of antibiotics than the bacteria lacking the gene for antibiotic resistance.  

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.