1. how are stars important to the milky way?

2. how has the knowledge and perception of the universe changed over the past century?

3. what effect does dark energy have on the universe?

4. how is matter important to the universe?

5. what do scientists believe may be the fate of the universe? which theory do you feel is the better explanation of what may happen? why?

the answer is c) abandoned properties that are contaminated with hazardous materials.

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.