Answer:
5.33 trays must be sold to cover all costs including labor...
Step-by-step explanation:
We have given:
Party trays, which cost $14.00 to make not including labor, are sold for $35.00.
Profit on party trays excluding labour cost = $35 - $14 = $21
Now we will find total labor cost for making party tray for a day
Total labor hours * wages per hour* No. of labors
= $7 * $8*2
= $112
Therefore to find how many trays must be sold to cover all costs including labor just divide total labour cost for making party tray for a day by profit on party trays excluding labour cost.
= $112/$21
= 5.33
It means 5.33 trays must be sold to cover all costs including labor...
a. Factorize the denominator:

Then we're looking for
such that


If
, then
; if
, then
. So we have

as required.
b. Same setup as in (a):

We want to find
such that

Quick aside: for the second term, since the denominator has degree 2, we should be looking for another constant
such that the numerator of the second term is
. We always want the polynomial in the numerator to have degree 1 less than the degree of the denominator. But we would end up determining
anyway.

If
, then
; if
, then
. Expanding everything on the right then gives

which tells us
and
; in both cases, we get
. Then

as required.
20 is the answer your welcome you will get it right don’t worry
<span>-18, -13, -8, -3,…
-18 + 5 = -13
-13 + 5 = -8
-8 + 5 = -3
-3 + 5 = 2
2 + 5 = 7
7 + 5 = 12
Therefore, the next three terms are 2, 7, 12
</span>
the answer is 18 5/12 + 8 10/17 + 23 7/12 + 28 7/17= A.77