Identify the interval(s) on which the function y = x + 12x + 27 is positive.

So the values of x for which the function is positive are x ≥ -3 and x ≤ -9.

Step-by-step explanation:

We are given a function and we have to find the intervals in which the function has positive value.

y =

y =(x + 3)(x + 9)

For the function to be positive , y ≥ 0

(x + 3)(x +  9) ≥ 0

Here there are two cases , either both should be positive or both should be negative.

If both are positive,

(x + 3)≥0 and (x + 9)≥0

So, x ≥ -3

If both are negative,

(x + 3)≤0 and (x + 9)≤0

So, x ≤ -9

So the values of x for which the function is positive are x ≥ -3 and x ≤ -9.

y = x + 95

y = 42 + 95

y=137 mm hg