Answer:
225
Step-by-step explanation:
We're told that each carton holds two dozen eggs, or 24 eggs. To find out how many cartons the farm will need, we divide the total amount of eggs by the amount of eggs that fit in each carton. So:

Since the number is a decimal, you need to round up to make sure every egg is in a carton. So, your answer is 225.
K is whatever you want it to be
First lets do the math...
-72 / -9 = 8
the reciprocal of a number is just flipping the number.
example : the reciprocal of 2/3 = 3/2.....the reciprocal of 6/7 = 7/6...and when u have a whole number, put it over 1...
so the reciprocal of 8, or 8/1 is gonna be 1/8 <==
or u could do it this way...
reciprocal of -72 / -9 = -9 / -72, which equals 1/8
Answer:
Step-by-step explanation:
Whether we divide using long division or using synthetic division, the rule is the same: If, after division, there is no remainder (i. e., the remainder is zero), the divisor binomial is a factor or the associated root is indeed a root/zero/solution.
Divide 5x³+8x²-7x-6 by (x+2) using synthetic division. Use the divisor -2 (which comes from letting x+2 = 0):
--------------------------
-2 / 5 8 -7 -6
-10 4 6
------------------------------
5 -2 -3 0 Since the remainder here is 0, we know that
-2 is a root of 5x³+8x²-7x-6 and that (x+2) is
a factor of 5x³+8x²-7x-6.
Now check out the possibility that (x+1) is a factor of 5x^3 + 8x^2 - 7x - 6:
Use -1 as the divisor in synthetic division:
--------------------------
-1 / 5 8 -7 -6
-5 -3 10
------------------------------
5 3 -10 4
Since there is a non-zero remainder (4), we can conclude that (x + 1) is NOT a factor of the given polynomial expression.