i) The given function is
We can rewrite in factored form to obtain;
The domain is
ii) To find the vertical asymptotes equate the denominator to zero.
iii) To find the roots, equate the numerator to zero.
iv) To find the y-intercept, substitute 
into the equation.
We simplify to obtain;
v) The horizontal asymptote is
The equation of the horizontal asymptote is y=1
vi) The function does not have a variable factor that is common to both the numerator and the denominator.
The function has no holes in it.
vii) The given function is a proper rational function.
Proper rational functions do not have oblique asymptotes.
The third option is the best fit for the application of a linear model.
In the first option, there is likely to be a correlation but it cannot be a linear one as goals are missed even from inside the keeper's box.
In the second option, it is safe to assume that each person will at least 2 other so this will follow an exponential model.
In the third option, the stopping distance is given by the equation of motion:
s = ut + 1/2 x at²
And this shows that the distance varies linearly with speed.
Answer: 24cm²
Step-by-step explanation:
Let square with length 5cm be represented with A, and square with 7cm be represented with B.
Area of a square is L²
Square A will have an area of 5² = 25cm²
Square B will have an area of 7² = 49cm²
Total area between the two squares will be = Area of Square (B - A)
i.e.
Total Area = 49cm² - 25cm² = 24cm²
Answer:
1
Step-by-step explanation:
9-7 = 2 (-2)
1-3 = -2
-2/-2 = 1
