A,B and E
Explanation:
If it is 4 for $5 we would create a ratio and unit rate to test out all of the options
We want to know how much one costs first
4/5 = 1/$1.25
So you test out all options:
A. 1.25/1=6.25/5 this is correct
B. 1.25/1=3.75/3 this is correct
C. 1.25/1=9/6 this is NOT correct
D. 1.25/1=1.5/1 this is NOT correct
E. 1.25/1=12.5/10 this is correct
255 is the answer because 143+86=229, 229+23 is 255
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).