Which of the following statements about the australian koala is true? the animal can only live in australia. its habitat can vary somewhat if it is supplied with eucalyptus. it may survive on a variety of foods as long as its habitat is otherwise identical to that in australia.

The correct answer is "Its habitat can vary somewhat if it is supplied with eucalyptus".

Explanation:

The diet of koala should always include eucalyptus. This is a special feature because most mammals find the eucalyptus poisonous, but the slow metabolism of koalas allow him to avoid this feature and maximize the few nutrients that eucalyptus has. Koalas could survive in habitats that can vary somewhat if it is supplied with eucalyptus. Koalas depend on eucalyptus but they can adapt to different habitats as long as they diet include this plant.

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.