Answer:
y = -2(x+2)(x-1)/((x+3)(x-6)) = (-2x^2 -2x +4)/(x^2 -3x -18)
Step-by-step explanation:
A polynomial function will have a zero at x=a if it has a factor of (x-a). For the rational function to have zeros at x=-2 and x=1, the numerator factors must include (x+2) and (x-1).
For the function to have vertical asymptotes at x=-3 and x=6, the denominator of the rational function must have zeros there. That is, the denominator must have factors (x+3) and (x-6). Then the function with the required zeros and vertical asymtotes must look like ...
f(x) = (x+2)(x-1)/((x+3)(x-6))
This function will have a horizontal asymptote at x=1 because the numerator and denominator degrees are the same. In order for the horizontal asymptote to be -2, we must multiply this function by -2.
The rational function may be ...
y = -2(x +2)(x -1)/((x +3)(x -6))
If you want the factors multiplied out, this becomes
y = (-2x^2 -2x +4)/(x^2 -3x -18)
Answer:
(
,
)
Step-by-step explanation:
Use the midpoint formula to solve.
1) Given 2 points: (
,
) and (
,
)
The midpoint formula would be (
,
).
2) Based on this, we can easily find the midpoint of AB.
- -3 would be
- -5 would be
- 4 would be
- the next 4 would be
3) With this information, we can solve for the midpoint.
(
,
) --> (
,
) --> This is your answer.
Answer: See below
Step-by-step explanation:
1. Yes
2. No
3.No
4. Yes
5. No
6. Yes
7. No
8. No
9. Yes
The solution is (6, -8) (solved by graphing with Desmos.com/calculator)