Answer:
y<−23/6 or y> 37/6
Step-by-step explanation:
Solve Absolute Value.
|−6y+7|>30
We know either−6y+7>30or−6y+7<−30
−6y+7>30(Possibility 1)
−6y+7−7>30−7(Subtract 7 from both sides)
−6y>23
−6y
/−6 > 23/−6
(Divide both sides by -6)
y<−23/6
−6y+7<−30(Possibility 2)
−6y+7−7<−30−7(Subtract 7 from both sides)
−6y<−37
−6y/−6< −37/−6
(Divide both sides by -6)
y> 37/6
Therefore the answer is
y<−23/6 or y> 37/6
I hope this helped you.
Turning clockwise means the number increase, and counterclockwise means the number decreases
Therefore your answer is 37 + (3*1/2)-(3*1/4)
= 37.75
Hope this helped :)
The equation is
-
= ![\sqrt{x +2}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%20%2B2%7D)
Solution
<u>Step 1:</u>
Take square on both sides, we get
3x - 2![\sqrt{x-2}](https://tex.z-dn.net/?f=%5Csqrt%7Bx-2%7D)
-2 = x +2
<u>Step 2:</u>
Subtract 3x - 2 from both sides, we get
-2![\sqrt{x-2} \sqrt{2x} = -2x + 4](https://tex.z-dn.net/?f=%5Csqrt%7Bx-2%7D%20%5Csqrt%7B2x%7D%20%3D%20-2x%20%2B%204)
<u>Step 3:</u>
Again, square on both sides in order to get rid of the square root from the above equation, we get
![8x^{2}-16x = 4x^{2} -16x +16](https://tex.z-dn.net/?f=8x%5E%7B2%7D-16x%20%3D%204x%5E%7B2%7D%20-16x%20%2B16)
Now we have to simplify it,
![4x^{2} -16 = 0](https://tex.z-dn.net/?f=4x%5E%7B2%7D%20-16%20%3D%200)
<u>Step 4:</u>
Now we have to solve this quadratic equation, in order to get the solution.
We get x = 2 and x = -2, When we verifying solution in the original given equation, the solution does not satisfy the equation.
Reason: We get negative number in the square root.
Therefore, it has no Roots.
<em>Answer: b) No roots</em>