Well,
Emily received $40.00 and then withdrew $40.00. The final amount would be zero.
Jacoby climbed 782 feet to get to his campsite, and then descended 782 feet to get back to his car. His final change is zero.
The Eagles mad two points, but then the Bulldogs evened it out with another two points. The difference between the two scores would be the same.
Marcus ends up going down more than he goes up, so this is not a correct option.
The Ravens scored two points, but at the end the Raiders scored an additional 5 points, which set both teams to the same score.
Since there are an equal number of protons and electrons, and the protons have the same (but opposite) amount of charge as the electrons, the charges cancel each other out, leaving the atom with a neutral overall charge (0).
Answer:
0
Step-by-step explanation:
We are given the following:
(equ. 1)
(equ. 2)
We are asked:
(equ. 3) , what is
?
The
's represent the quotients you get.
is the remainder of dividing
by 5.
We know that
is a number in {0,1,2,3,4}.
(I got this by multiplying both sides of equ 1. by 5.)
(I got this by multiplying both sides of equ 2. by 5.)
Let's add these equations together:

Factoring the 5 out for the
's part and simplify 4+1 gives:

So
can't be the remainder of dividing something by 5 but see that we can factor this right hand expression more as:

So
while there is no remainder (the remainder is 0).
Let's do an example if you are not convinced at this point that the remainder will be 0.
So choose x=9 since 9/5 gives a remainder of 4.
And choose y=16 since 16/5 gives a remainder of 1.
x+y=9+16=25 and 25/5 gives a remainder of 0.
Answer:
The solutions to the quadratic equations will be:

Step-by-step explanation:
Given the expression

Let us solve the equation by completing the square

Add (-6)² to both sides

simplify

Apply perfect square formula: (a-b)² = a²-2ab+b²
i.e.

so the expression becomes


solve

add 6 to both sides

Simplify

also solving

add 6 to both sides

Simplify

Therefore, the solutions to the quadratic equation will be:

Answer:
C is the answer
Step-by-step explanation:
Part (i)
I'm going to use the notation T(n) instead of 
To find the first term, we plug in n = 1
T(n) = 2 - 3n
T(1) = 2 - 3(1)
T(1) = -1
The first term is -1
Repeat for n = 2 to find the second term
T(n) = 2 - 3n
T(2) = 2 - 3(2)
T(2) = -4
The second term is -4
<h3>Answers: -1, -4</h3>
==============================================
Part (ii)
Plug in T(n) = -61 and solve for n
T(n) = 2 - 3n
-61 = 2 - 3n
-61-2 = -3n
-63 = -3n
-3n = -63
n = -63/(-3)
n = 21
Note that plugging in n = 21 leads to T(21) = -61, similar to how we computed the items back in part (i).
<h3>Answer: 21st term</h3>
===============================================
Part (iii)
We're given that T(n) = 2 - 3n
Let's compute T(2n). We do so by replacing every copy of n with 2n like so
T(n) = 2 - 3n
T(2n) = 2 - 3(2n)
T(2n) = 2 - 6n
Now subtract T(2n) from T(n)
T(n) - T(2n) = (2-3n) - (2-6n)
T(n) - T(2n) = 2-3n - 2+6n
T(n) - T(2n) = 3n
Then set this equal to 24 and solve for n
T(n) - T(2n) = 24
3n = 24
n = 24/3
n = 8
This means 2n = 2*8 = 16. So subtracting T(8) - T(16) will get us 24.
<h3>Answer: 8</h3>