Answer:
the function that models the total inventory costs as a function of x is;
$( 
+ (
)x )
Step-by-step explanation:
Given the data in the question;
cost of storing the shoes ( Holding cost ) = $ 3 per year
ordering cost ( Co ) fixed = $ 25 per order
cost of each pair = $ 5 per shoe pair
Total demand = 4500 shoe pairs
Total Inventory cost = Holding cost Ordering cost
so
Total Inventory cost = 
( $ 25) + 
× $3 × x
Total Inventory cost = $( 
+ ()x )
Total Inventory cost = $( + ()x )
Therefore, the function that models the total inventory costs as a function of x is; $( + ()x )
<h2> 56 − 7 + ( 26 − 4 ) ÷ 2</h2>
<h2>56 - 7 + 22 ÷2</h2>
<h2>56 -7 + 11</h2>
<h2>67 - 7</h2>
<h2>60</h2>
<span>Talia swims about 1.5 mph faster than Alina</span>
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)
_____
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:
77
Step-by-step explanation:
k/11 = 7 Multiply by 11
11*k/11 = 7*11
k = 77
