71+71=142
180-142=38
2+6x=38
6x=36
x=6
Answer:
1) 

2) 

3) 

4) 

Step-by-step explanation:
The quadratic formula is given by:

We can use this formula in order to solve the following equations:
1. x^2 − 2x = 12 → a = 1, b = −2, c = −12
For this case if we apply the quadratic formula we got:



2. 1/2x^2 − 6x = 2 → a = 1 / 2, b = −6, c = −2
For this case if we apply the quadratic formula we got:



3. 2p^2 + 8p = 7 → a = 2, b = 8, c = −7
For this case if we apply the quadratic formula we got:



4. 2y^2 + 3y − 5 = 4 → a = 2, b = 3, c = −9
For this case if we apply the quadratic formula we got:



Answer:

Step-by-step explanation:
Given

Required
The sample mean
This is calculated using:

So, we have:



Hey!
It says that it is the sum of 3 consecutive odd integers right?
So then we give these numbers some variables to work with like so...
x = 1st number
x + 2 = 2nd number
x + 4 = 3rd number
now set all of them equal to 207
x + x + 2 + x + 4 = 207
3x + 6 = 207
3x = 201
<u>x = 67</u><u /> <u>x + 2 = 69</u><u /> <u /><u /> <u>x + 4 = 71
</u><u>
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