Suppose you are studying two stars. both stars have the same apparent magnitude, but star a has a greater absolute magnitude than star b. what can you tell about the distance from earth of these two stars?

That one is bigger than the other

It makes it lighter

Explanation:

star A and star B have the same apparent magnitude but star A has a greater absolute magnitude than star B so that makes star a brighter because the higher the temperature is the brighter the star is.

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.