Answer:
q: quarters, 2q, 2q + 22, & 3(2q+22)
Step-by-step explanation:
A: The variable “q” will be the number of quarters
B:
2q will be the numbers of dimes
2q+22 will be the numbers of nickels
3(2q + 22) will be th number of pennies
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.
Answer:
$15.95
Step-by-step explanation (without words):
9.57/3= 3.19
3.19*5= $15.95
Answer:
4x² -29x +51
Step-by-step explanation:
Put x-3 where x is in the original function definition, then "simplify". I think you'll find it convenient to rewrite the original function definition first.
... g(x) = 4x² -5x = x(4x -5)
Substituting, we have
... g(x-3) = (x -3)(4(x -3) -5)
... = (x -3)(4x -17) . . . . . simplify right factor
... = 4x² -12x -17x +51
... g(x -3) = 4x² -29x +51