Answer:
⅛
Step-by-step explanation:
Zero heads = all tails
1/8
Answer:
A. The value of n can be any positive integer resulting in the same factor
Step-by-step explanation:
Given
--- the right expression
![n > 0](https://tex.z-dn.net/?f=n%20%3E%200)
Required
Possible values of n
![x^2 + 2xn + n^2](https://tex.z-dn.net/?f=x%5E2%20%2B%202xn%20%2B%20n%5E2)
Expand
![x^2 + 2xn + n^2 = x^2 + xn+xn + n^2](https://tex.z-dn.net/?f=x%5E2%20%2B%202xn%20%2B%20n%5E2%20%3D%20x%5E2%20%2B%20xn%2Bxn%20%2B%20n%5E2)
Factorize
![x^2 + 2xn + n^2 = x(x + n)+n(x + n)](https://tex.z-dn.net/?f=x%5E2%20%2B%202xn%20%2B%20n%5E2%20%3D%20x%28x%20%2B%20n%29%2Bn%28x%20%2B%20n%29)
Factor out ![x + n](https://tex.z-dn.net/?f=x%20%2B%20n)
![x^2 + 2xn + n^2 = (x + n)(x + n)](https://tex.z-dn.net/?f=x%5E2%20%2B%202xn%20%2B%20n%5E2%20%3D%20%28x%20%2B%20n%29%28x%20%2B%20n%29)
<em>From the expression above, we can see that the result has the same factor. This means that options (b), (d) and (e) are not possible</em>
<em></em>
![x^2 + 2xn + n^2 = (x + n)^2](https://tex.z-dn.net/?f=x%5E2%20%2B%202xn%20%2B%20n%5E2%20%3D%20%28x%20%2B%20n%29%5E2)
The above also shows that n can take any positive value.
<em>Hence: (a) is correct</em>
Answer:
x = -5
Step-by-step explanation:
Original equation:
2(2x - 7) = -34
Use distributive property
2 · 2x = 4x
2 · (-7) = -14
Plug these values back into the equation
4x - 14 = -34
Add 14 to both sides
4x = -20
Divide both sides by 4
x = -5
Hope this helps :)
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Answer:
a) y = 5x
b) y = 60
Step-by-step explanation:
We can see that when you multiply x by 5, you get the y value.
So, 12*5 = 60.