PLEASE HELP
1 answer:
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)
You might be interested in
The regression analysis evaluates the amount of relationship that exists
between the variables in the analysis.
- The regression equation is;
- The prediction is worthwhile because it gives an idea of the observed Crash Fatality Rate and it is therefore approximately correct.
Reasons:
First part;
The given data is presented as follows;
The least squares regression equation is;
Where;
= The mean crash fatality = 15.52
= The mean lemon import = 373.6
Therefore;
c = - b·
= 15.52 - (-0.00255)×373.6 = 16.47268
Therefore;
- The regression equation is
Second part;
When the imports is 425 metric tons of lemon, we have;
= -0.00255 × 425 + 16.47268 = 15.38893 ≈ 15.4
Therefore;
When the import is 425 metric tons, the Crash Fatality Rate ≈ 15.4
Given that the predicted value is between the values for 268 and 535, we
have that the prediction is approximately correct or worthwhile
<u>The prediction is worthwhile</u>
Learn more about regression equation here: