Answer:
4
Step-by-step explanation:
Constant of proportionality is given as, k = y/x
To find the constant of proportionality of the table of values given, use any of the given pairs of values, say, (1, 4).
Thus, k = 4/1 = 4
Constant of proportionality = 4
Answer:
Vertical asymptote:x=-4
Horizontal asymptote: y=2
Step-by-step explanation:
The given rational function is

To find the vertical asymptote we equate the denominator to zero and solve for x.
x+4=0
The equation of the vertical asymptote is
x=-4
To find the horizontal asymptote we take limit to infinity. Or simply express the coefficient of x in the numerator over the coefficient of x in the denominator since this is a proper rational function.
The horizontal asymptote has equation

Answer:
y=2.5x
Step-by-step explanation:
You already know that the cost for 1 book is $2.50, which is also the rate of change. So you just basically multiply 2.50 by 5 to get 12.50.
For a triangle, there is a proven inequality<span> that states that</span><span>, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side
21 + 37 >= 15
58 >= 15
21 + 15 >= 37
36 >= 37
37 + 15 >= 21
52 >= 21
We can see that the second inequality doesn't comply, thus there is not such triangle.</span>