Answer:
y = 1 + 1/((x -1)(x -4))
Step-by-step explanation:
To get vertical asymptotes at 1 and 4, you need factors (x -1) and (x -4) in the denominator. As x approaches 1 or 4, one of these will approach zero, and the function value will approach infinity.
To get a horizontal asymptote of 1, the function must approach the value 1 when the value of x gets large (positive or negative). This can generally be accomplished by simply adding 1 to a fraction that approaches zero when x is large.
Here, we make the fraction be the one that gives the vertical asymptotes, and we simply add 1 to it.
... y = 1 + 1/((x -1)(x -4))
If you like, this can be "simplified" to ...
... y = (x² -5x +5)/(x² -5x +4)
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In this rational expression form, please note that the numerator and denominator have the same degree. That will be the case when there is a horizontal asymptote. (When a slant asymptote, the numerator degree is 1 higher than the denominator.) The ratio of the coefficients of the highest degree terms is the horizontal asymptote value (or the slope of a slant asymptote).
Answer: 
Step-by-step explanation:
You know that Abraham has 9 carrot sticks and 18 Celery sticks.
In order to calculate the greatest number of servings Abraham can create, you need to find the Greatest Common Factor (GCF).
The procedure to find the Greatest common factor is:
1. Descompose 9 and 18 into their prime factors.
2. Multiply the commons factors with their lowest exponents.
Then, in this case you get:
Therefore, the greatest number of servings Abraham can create is:
The gr<span>aph of a function f is illustrated below. What is the graph of the inverse function of f? this is a f reflected in the y = x line</span>
Answer:
440 or 490
Step-by-step explanation:
Answer: $81.60
Step-by-step explanation:
When we have an original price OP, and a markup of X% (this is how much increases the price with respect to the original price)
The retail price will be:
RP = OP + (X%/100%)*OP
RP = OP*(1 + X%/100%)
In this case, we have:
Original price = OP = $68
markup = X% = 20%
Replacing these in the above equation, we get:
RP= $68*(1 + 20%/100%) = $68*(1 + 0.20)
RP = $68*(1.20) = $81.60
Then the retail price of this particular item is $81.60
