12) Balancing
with
is part of the ideals of the principles of sustainability. Without a particular balance, such as
practicing sustainable forestry, humans will use more trees than are grown. Theoretically, we would run out of large enough trees
to harvest. Also, the loss of habitats for a large variety of species will disrupt the natural cycle of the forests being depleted.
A)
top soil; tree growth
B)
forest health; building roads
society's needs; forest health
D)
habitat destruction; loss of species

age range would be the answer

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.