Option a. 1/4 is the right answer
Step-by-step explanation:
Given expression is:
![x^2+x](https://tex.z-dn.net/?f=x%5E2%2Bx)
Here
we know that
a = x
In order to find the number which should be added
comparing with the formula
![(a+b)^2 = a^2+2ab+b^2](https://tex.z-dn.net/?f=%28a%2Bb%29%5E2%20%3D%20a%5E2%2B2ab%2Bb%5E2)
![2ab = x\\2.x.b = x\\b=\frac{x}{2x}\\b = \frac{1}{2}](https://tex.z-dn.net/?f=2ab%20%3D%20x%5C%5C2.x.b%20%3D%20x%5C%5Cb%3D%5Cfrac%7Bx%7D%7B2x%7D%5C%5Cb%20%3D%20%5Cfrac%7B1%7D%7B2%7D)
So, we will add the square of 1/2 which is 1/4
Hence,
Option a. 1/4 is the right answer
Keywords: Expressions, polynomials
Learn more about polynomials at:
#LearnwithBrainly
Answer:
Step-by-step explanation:
a). Mean of the given data set = ![\frac{32+28+18+40+22}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B32%2B28%2B18%2B40%2B22%7D%7B5%7D)
= 28
b). x
![(x-\overline{x})^2](https://tex.z-dn.net/?f=%28x-%5Coverline%7Bx%7D%29%5E2)
32 32-28 = 4 16
28 28 - 28 = 0 0
18 18 - 28 = -10 100
40 40 - 28 = 12 144
22 22 - 28 = -6 36
= 296
c). Standard deviation = ![\sqrt{\frac{\sum (x-\overline{x})^2}{n}}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B%5Csum%20%28x-%5Coverline%7Bx%7D%29%5E2%7D%7Bn%7D%7D)
= ![\sqrt{\frac{296}{5} }](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B296%7D%7B5%7D%20%7D)
= 7.69
d). Mean of the new set of weights = ![\frac{32+33+34+35+36}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B32%2B33%2B34%2B35%2B36%7D%7B5%7D)
= 34
Since mean of the data set is more close to each data, standard deviation will be less than the deviation given in part (c).
Answer:
2x^2
Step-by-step explanation:
2x*1x= 2x^2
Step-by-step explanation:
You mean the answer is - 14
So - 14 + (-4) =
- 14 - 4 = 18