For second one the answer is 14
Answer:
(A) The slope of secant line is 18.
(B) The slope of secant line is h+16.
Step-by-step explanation:
(A)
The given function is

At x=3,

At x=9,

The secant line joining (3,27) and (9,135). So, the slope of secant line is


The slope of secant line is 18.
(B)
The given function is

At x=5,

At x=5+h,

The secant line joining (5,55) and
. So, the slope of secant line is



The slope of secant line is h+16.
Recall that a rational function:

has a vertical asymptote at x₀ if and only if:

Also, the roots of the above rational function are the same as P(x).
Since the rational function has a vertical asymptote at x=-1, we get that its denominator must be:

Since the rational function has a double zero at x=2 we get that its numerator must be of the form:

Finally, since the rational function has y-intercept at (0,2) we get that:

Simplifying the above equation we get:

Dividing the above equation by 4 we get:

Therefore, the rational function that satisfies the given conditions is:

Answer:
The numerator is:

The denominator is:
Answer:
16+x
Step-by-step explanation:
Hug if uhhhjjvvj fortifying join inn in cuh inn info online if CCTV I I job h K green I of first cb city civics guy think Jack hi