The statement which best describes the association between the variables X and Y is the <em>moderate positive association</em>. It is observable that the values of X and Y are increasing, however, not in a perfect manner as there are some minor deviations. But nonetheless, the direction is clear and the values are close to each other so they have a moderate positive association.
We must recall that a horizontal asymptote is the value/s of y that the given function approaches to but never reaches. To find this in a rational function, we compare the expressions with highest degree in the numerator and denominator. There are three possible outcome when this happens.
1. if the highest degree (highest exponent) in the numerator is bigger than that of the denominator, then there won't be any horizontal asymptote.
2. if the highest degree in the denominator is bigger, then the horizontal symptote would be y = 0.
3. if they have the same highest degree, then we just get the quotient of their coefficient.
Now, going back to our function, we have

From this we can see that the highest degree in the numerator is 1 (from 2x) and 2 (from x²) for the denominator. Clearly, it shows that its denominator has a higher degree. And from our discussion, we can conclude that the horizontal asymptote would be y = 0.
Answer: y = 0
<span>L the length W the width
The length of a rectangle is 5 more than twice the width</span>
L = 5+ 2W
<span>the perimeter is equal the sum of sides =130
</span>
L+L+W+W =130
by subtitution we replace L by <span>L = 5+ 2W
</span>5+ 2W+<span>5+ 2W +W+W = 130
</span>
6W= 120
w= 20 <span>L = 5+ 2W= 5+ 40=45</span>
The rule for dilation (scale factor k) about the origin is given by:
(x,y)->(kx,ky)
The scale factor k can be obtained from any one of the ratios:
7/100 = 0.07
0.07 * 12.5 = 0.88
20/100 = 0.2
0.2 * 12.5 = 2.5
2.5 + 0.88 = 3.38
3.38 + 12.50 = 15.88
You spend a total of $15.88.