The first step is to combine like terms. So u would do 2-6. You then get -4 then u just bring everything else down. So now u should have this :
8x -4 = 4x + 8 + 3x
Now you do the same thing to the other side. U combine like terms which in this case are 4x and 3x. So u just do 4+3 which is 7 so now u have 7x. So now ur equation would be:
8x -4 = 7x +8
Now u do the inverse of 7 which would be -7 and u do that on both sides. So it would look like this :
8x -4 = 7x + 8
-7x. -7x
So now 7 and -7 cancel each other other and 8 -7 is 1 so now u have one x. So ur equation would now look like this:
1x -4 = 8
Now u do the inverse of negative 4 which is +4. So you would add 4 on both sides on both sides. Like shown:
1x -4 = 8
+4 +4
So u just add 8 + 4 which is 12. Now since anything times 1 is itself ur answer will be X=12
Hope this helped
Answer:

The doubling time is of 27.65 minutes.
Step-by-step explanation:
Exponential equation of growth:
The exponential equation for population growth is given by:

In which P(0) is the initial value and k is the growth rate.
A freshly inoculated bacterial culture of Streptococcus contains 100 cells.
This means that
. So

When the culture is checked 60 minutes later, it is determined that there are 450 cells present.
This means that
, and we use this to find k. So






So

Doubling time:
This is t for which P(t) = 2P(0) = 200. So






The doubling time is of 27.65 minutes.
Answer:
a = 6, b = 22.5
Step-by-step explanation:
One triangle is 2.5 times bigger than the other.
9*2.5=22.5 which means b = 22.5
15/2.5=6 which means a = 6
Answer:
5
Step-by-step explanation:
[math]
U_{n} = 5n - 2 \\
Common Difference = U_{n+1} - U_{n} \\
= [5(n + 1) - 2] - [5n - 2] = [5n + 5 - 2] - [5n - 2]\\
= 5n + 5 - 2 - 5n + 2\\
= 5
[/math]