Answer:
x - 1
Step-by-step explanation:
We know that, a slant or oblique asymptote of a rational function is the asymptote that helps in determining the direction of the function.
It occurs when the polynomial in the numerator is a higher degree than the polynomial in the denominator.
Now, we divide the numerator by denominator using long division method and the first two terms in the quotient ( forming a linear function ) is the equation of the oblique asymptote.
We are given the rational function, .
After dividing we get that, the quotient is x - 1.
Hence, the equation of the oblique asymptote is x-1.
Let x be a number of skateboards and y be the number of bicycles in Eddie's repair shop.
Eddie asks the girls to order 54 new wheels for 21 skateboards and bicycles, then
x+y=21.
One scateboard has 4 wheels, then x scateboards have 4x wheels, one bicycle has 2 wheels, then y bicycles have 2y wheels. In total there should be ordered 54 wheels, so
4x+2y=54.
Solve the system of equations:
From the first equation Substitute it into the second equation:
Then
Answer: 6 scateboards and 15 bicycles.