f(x)=−3x2+12x−11 Step 1 of 2 : Find all values of x that correspond to horizontal tangent lines. Select "None" if the function does not have any values of x that correspond to horizontal tangent lines.

corresponds to a horizontal line tangent to .

Step-by-step explanation:

Let , its first derivative represents a formula to determine the slope of lines tangent to a given point of the curve and slopes of horizontal tangent line corresponds to those values of such that .

We obtain the first derivative and equalize it to zero:

And solve it for :

corresponds to a horizontal line tangent to .

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°