X+3/ x2-9x+20
a.4
b-3
c-4
d 5
e.3
f -5
apex

Step-by-step explanation:

The first derivative simplifies to ...

  d/dx( ) = -(x^2 +6x -47)/(x^2 -9x +20)^2

This has zeros that can be found by the usual methods of solving quadratics:

  x = -3 ±2√14

The positive value of x corresponds to what I might call an "apex." (See the first attachment.) The negative value is where the function turns around an approaches the horizontal asymptote from below. (See the second attachment.)

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°