You can put this solution on YOUR website!
first integer = i
second integer = i + 1
(1/3)(2i + 1) = i - 6
2i + 1 = 3i - 18
19 = i
first integer = 19
second integer = 20

You can put this solution on YOUR website!
first integer = i
second integer = i + 1
(1/3)(i + i + 1) = i - 9
2i + 1 = 3i - 27
28 = i
first integer = 28
second integer = 29

You can put this solution on YOUR website!
(-12,3) ~> x = -12 and y = 3
Yes
(3,0) ~> x = 3 and y = 0
Yes
(-22,5) ~> x = -22 and y = 5
Yes
(-12,-3) ~> x = -12 and y = -3
No

You can put this solution on YOUR website!
number of 39 cent stamps = x
number of 24 cent stamps = y
which can look like:
and





plug:


There are 18 0.39 cent stamps and 12 0.24 cent stamps.

You can put this solution on YOUR website!
Perimeter = 2l + 2w




Measurements can not be negative. Also, if the width was zero, you would not have a shape at all.

You can put this solution on YOUR website!
x + x + y - y = 9 + 9
2x = 18
x = 9
plug:
9 - y = 9
y = 0

You can put this solution on YOUR website!
Arithmetic Sequence can look like this: 0,2,4,6,8,10....x + 2
Simply, you add two each time. Relatively, you just add a basic constant.
This can be seen in a linear line as: y = 2x + 0
A linear line shows that after values there are the constant times that value for .
Geometric Sequence can look like this: 1,3,9,27,81,243....3^x
Simply, you just multiply by three eacch time.
Think about this:
for 0 values ~> 3^0 = 1
for 1 value ~> 3^1 = 3
for 2 values ~> 3*3 = 9
Of course, this looks like: y = 3^x
Geometric sequence looks like an exponential function.
Example:
Arithmetic: If you develop two bumps a day, how many bumps would you have in a week?! Explains that you should check a docter....
Geometric: Bouncing of a ball may be decided as 1/3 of the previous bounce. This could better help you understand physics. Will the ball bounce forever? Mathematically, yes! Realistically, no!

You can put this solution on YOUR website!
10,000 + 750 >= x >= 10,000 - 750

You can put this solution on YOUR website!
One angle: x
Other angle: x + 20
x + x + 20 = 180
2x = 160
x = 80
One angle: x = 80 degrees
Other angle: x + 20 = 100 degrees

You can put this solution on YOUR website!
One angle: x
Other angle: 2x - 6
x + 2x - 6 = 90
3x = 96
x = 32
One angle: x = 32 degrees
Other angle: 2x - 6 = 2(32) - 6 = 64 - 6 = 58 degrees

You can put this solution on YOUR website!
Looks right:

You can put this solution on YOUR website!
A = P(1 + r/n)^(tn)
A = (1 + 0.1/1)^(t)
A = (1.1)^t
I think you can fill in the values with the aid of a calculater.

You can put this solution on YOUR website!





and ~> won't work because you can not take the square root of a negative value
Answer:

You can put this solution on YOUR website!
0.14(x) = 0.12(8500 - x)
0.14x = 1020 - 0.12x
0.26x = 1020
x = 3,923.08
8500 - 3923.08 = 4,576.92
$3,923.08 in 14%
$4,576.92 in 12%

You can put this solution on YOUR website!
The opposite sides are equal, so we get:
2(4x + 2) + 2(3x - 1) = 442
4x + 2 + 3x - 1 = 221 divide by two
7x + 1 = 221
7x = 220
x = 220/7 or 31 3/7

You can put this solution on YOUR website!
The answer is simple. You are right; the book is wrong. Don't judge a book by its cover. Just because it's a math book, doesn't mean everything is right in it. Everyone makes mistakes. =P
N2^3

You can put this solution on YOUR website!
|x + 6| = -4
An absolute value of any number can not equal a negative number.

You can put this solution on YOUR website!
x + 6 = 66
x = 60

You can put this solution on YOUR website!
x-intercept = 3 ~> (3,0)
y-intercept = 2 ~> (0,2)
m = (y2 - y1)/(x2 - x1) = (0 - 2)/(3 - 0) = -2/3
y - y1 = m(x - x1)
y - 2 = (-2/3)(x - 0)
y - 2 = -2x/3
y = -2x/3 + 2

You can put this solution on YOUR website!
Rate * Time = Distance
Distance = Distance
is going to be defined as Leah's rate
May~>
rate: 10 + p
time = 1
Leah~>
rate: p
time: 3
(10 + p)(1) = (p)(3)
10 + p = 3p
10 = 2p
5 = p
Leah's rate is 5km per hour. It takes her three hours to walk the distance.
Rate * Time = Distance
5 * 3 = 15km

You can put this solution on YOUR website!
When you have straight bars around that value, it is called absolute value.
It, in easier mathematical terms, is described by:
That means that every value plugged for gives you a positive number or zero.
Lets do an example:
|x + 1| = 2


and
and

Now, lets do your problem:
|x + 6| + 8 = 4
|x + 6| = -4 Remember, I said that absolute values gives you positive values or zero. There is no way it will give you negative four, so there are no solutions.

You can put this solution on YOUR website!
I just did this one. For a specific reasoning, check my solutions.
x = -2

You can put this solution on YOUR website!
5^(2x + 1) = 1/5^3
5^(2x + 1) = 5^(-3)
2x + 1 = -3
2x = -4
x = -2

You can put this solution on YOUR website!
The Kinetic energy( KE ) of a particle of mass( m ) is( = ) found by taking one-half(1/2) of the product of the mass (m) and the square of the velocity(v^2).

You can put this solution on YOUR website!
ln(x) - ln(x - 2) = ln(7)
ln(x/(x - 2)) = ln(7)
x/(x - 2) = 7
x = 7x - 14
14 = 6x
7/3 = x

You can put this solution on YOUR website!
A good way of knowing an associative property is this: depends how you associate the parenthesis with the values.
(2 + 1) + 3 = 2 + (1 + 3)
Your Example: 4*(3 + 2) = (3 + 2)*4
Are you changing the locations of the parenthesis? No. Your property is communitive.

You can put this solution on YOUR website!
Sound intensity(loudness) is measured on a logrithmic scale.
dB = 10 log (I / Io)
I = intensity of sound (joules per second per m^2)
Io = softess sound a human can hear (10^-12)
A thunder clap: I = 10^0 = 1
dB = 10 log(1/10^(-12))
dB = 10 log(10^12)
dB = 10 (12) = 120

You can put this solution on YOUR website!
Actually, this is quite easy once you think about it.
sqrt(x^2)
A number times itself must be .... positive!
The square root of a positive number gives us the original number, but it will be positive!
x = -2
sqrt((-2)^2) = sqrt(4) = 2
Does 2 = -2 ? No!
So we dub: sqrt(x^2) = | x | not

You can put this solution on YOUR website!





I hope that is right; my calculator is upstairs, and I am too lazy to go fetch it, so I did it in my head instead. I have full confidence in you checking it.
Good Luck,
N2^3

You can put this solution on YOUR website!
You can not divide by zero.
This can not be: x^2 + x = 0
x(x + 1) = 0
x = 0 and x = -1
Those are your vertical asymptotes.
There are infinite linear asymptotes. Ex.) y = x + 2
There are no horizontal asymptotes.

You can put this solution on YOUR website!