Given:
The pair of expressions in the options.
To find:
The pair that shows equivalent expressions.
Solution:
We have,
![2\left(\dfrac{2}{5}x+2\right)](https://tex.z-dn.net/?f=2%5Cleft%28%5Cdfrac%7B2%7D%7B5%7Dx%2B2%5Cright%29)
By using distributive property, we get
![2\left(\dfrac{2}{5}x+2\right)=2\left(\dfrac{2}{5}x\right)+2(2)](https://tex.z-dn.net/?f=2%5Cleft%28%5Cdfrac%7B2%7D%7B5%7Dx%2B2%5Cright%29%3D2%5Cleft%28%5Cdfrac%7B2%7D%7B5%7Dx%5Cright%29%2B2%282%29)
![2\left(\dfrac{2}{5}x+2\right)=\dfrac{4}{5}x+4](https://tex.z-dn.net/?f=2%5Cleft%28%5Cdfrac%7B2%7D%7B5%7Dx%2B2%5Cright%29%3D%5Cdfrac%7B4%7D%7B5%7Dx%2B4)
So, option A is incorrect and option B is correct.
We have,
![2\left(\dfrac{2}{5}x+4\right)](https://tex.z-dn.net/?f=2%5Cleft%28%5Cdfrac%7B2%7D%7B5%7Dx%2B4%5Cright%29)
By using distributive property, we get
![2\left(\dfrac{2}{5}x+4\right)=2\left(\dfrac{2}{5}x\right)+2(4)](https://tex.z-dn.net/?f=2%5Cleft%28%5Cdfrac%7B2%7D%7B5%7Dx%2B4%5Cright%29%3D2%5Cleft%28%5Cdfrac%7B2%7D%7B5%7Dx%5Cright%29%2B2%284%29)
![2\left(\dfrac{2}{5}x+4\right)=\dfrac{4}{5}x+8](https://tex.z-dn.net/?f=2%5Cleft%28%5Cdfrac%7B2%7D%7B5%7Dx%2B4%5Cright%29%3D%5Cdfrac%7B4%7D%7B5%7Dx%2B8)
So, options C and D both are incorrect.
Therefore, the correct option is B.
It's either A or B I'm not sure which but it is one of them thats correct sorry if this doesn't help that much
Answer:
Since k is constant, we can find k given any point by multiplying the x-coordinate by the y-coordinate. For example, if y varies inversely as x, and x = 5 when y = 2, then the constant of variation is k = xy = 5(2) = 10. Thus, the equation describing this inverse variation is xy = 10 or y = .planation:
Answer:
x=1
Step-by-step explanation:
Simplify:
24x-12=12
add 12 on both sides:
24x=24
divide both sides by 24
x=1
Hope this helps!