Answer (13 of the original arrangements are duplicates now, as
AAAF F F FDDDDCC, AAF F F FDDDDCCA, ..., CAAAF F F FDDDDC
are identical): 900900/13 = 69300.
The equation is 314 = 1,200 - 240x
1,200 is the number of M&M's it starts with
The problem said the family eats 1/5th of the candy every day
1/5 of 1,200 is 240
It is a -240 because the amount of m&m's is getting fewer each day
The x stands for the number of days
Sorry but I'm not sure if I could answer your problem exactly
The answer is 3.69 days
Because there isn't an exact day that there would exactly 314 M&M's left
Answer: a=1.4
Step-by-step explanation:
move the 0.1a to the other and the 7 to the other side which will make the 7 positive and the 0.1a negative.
5a-0.1= 4.9a
-0.14+7=6.86
dive both sides by 4.9 and you get
a=1.4
The statement is False.
For this, it is enough to show a case in which the subtraction of two positive numbers is negative.
For this, we must choose two numbers.
Suppose we want to subtract the following numbers:
Number 1: 5
Number 2: 10
Subtracting both numbers we have:

We observe that the result is negative. Therefore, the given conclusion is false.
Answer:
Counterexample:

Hello there.
To answer this question, we need to remember some properties about the vertex of quadratic functions.
Let
. Its vertex can be found on the coordinates
such that
and
, in which
.
Using the coefficients given by the question, we get that:

Thus, we have:

So the statement is true, because the
coordinate of the vertex of the function is equal to 