Which statement about the function is true?
the graph of the function f(x) = (x + 2)(x + 6) is shown
below.
the function is positive for all real values of x where
x> -4.
the function is negative for all real values of x where
-6 the function is positive for all real values of x where
x< -6 orx > -3.
the function is negative for all real values of x where
x < -2.
+
4
+2
+
246
x
4+
--6-

The function is negative for all real values of x where -6< x < -2

Step-by-step explanation:

Given f(x) = (x + 2)(x + 6)

The graph of the function is as shown in the attached figure.

As shown, we can deduce the following:

The function is positive for all real values of x where x > -2 and x < -6

The function is zero at x = -2 and x = -6

The function is negative for all real values of x where -6 < x <-2

Compare the observations to the given statements:

So, The true statement is The function is negative for all real values of x where -6 < x <-2

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.