The required solution of the inequality is x < - 6.
Given that,
To solve the equation −2x − 4 > 8.
<h3>What is inequality?</h3>
Inequality can be described as the consideration of the equation including the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
The given equation
−2x − 4 > 8
adding 4 on both sides
-2x > 12
multiply by -1
when multiplying the negative -1 it will change the behavior of the inequality, so.
2x < - 12
Divide by 2 into both sides
x < - 6
Thus, the required solution of the inequality is x < - 6.
Learn more about inequality here:
brainly.com/question/14098842
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Answer: B and E
Step-by-step explanation:
To solve this we must isolate x which involves having the variables on one side and the numbers on the other.
First add 2m to both sides
<em>3m+7/2=-2m+5/2</em>
<em>5m+7/2=5/2</em>
Then we subtract 7/2 from both sides
<em>5m+7/2=5/2</em>
<em>5m=-1</em>
Finally we divide both sides by 5
<em>5m/5=-1/5</em>
<em>Our final answer is -1/5</em>
<em>So the answer is B</em>
Hope this helps!
Answer:
1. two square root of ten
Step-by-step explanation:
Given expression is:
![\[\sqrt{5}* \sqrt{8}\]](https://tex.z-dn.net/?f=%5C%5B%5Csqrt%7B5%7D%2A%20%5Csqrt%7B8%7D%5C%5D)
Simplifying the expression:
![\[\sqrt{5}* \sqrt{4 \ast 2}\]](https://tex.z-dn.net/?f=%5C%5B%5Csqrt%7B5%7D%2A%20%5Csqrt%7B4%20%5Cast%202%7D%5C%5D)
= ![\[\sqrt{5}* \sqrt{4}*\sqrt{2}\]](https://tex.z-dn.net/?f=%5C%5B%5Csqrt%7B5%7D%2A%20%5Csqrt%7B4%7D%2A%5Csqrt%7B2%7D%5C%5D)
= ![\[\sqrt{5}* 2*\sqrt{2}\]](https://tex.z-dn.net/?f=%5C%5B%5Csqrt%7B5%7D%2A%202%2A%5Csqrt%7B2%7D%5C%5D)
= ![\[2 * \sqrt{5} * \sqrt{2}\]](https://tex.z-dn.net/?f=%5C%5B2%20%2A%20%5Csqrt%7B5%7D%20%2A%20%5Csqrt%7B2%7D%5C%5D)
= ![\[2 * \sqrt{10}\]](https://tex.z-dn.net/?f=%5C%5B2%20%2A%20%5Csqrt%7B10%7D%5C%5D)
So among the given options, option 1 is the correct one,namely, two square root of ten.
Answer:
m = -1/3
Step-by-step explanation:
There are two ways that you can use to get this answer.
The first way is to use the graph. You can see that to get from Point A to Point B, the dots go over 1 and down 3. For the fraction, you put the amount that you go to the side (1) over the amount you go down (3) to get 1/3. Since the points go down gradually, the slope is negative, so 1/3 becomes -1/3.
The second way is to take the two points, (1, 4) and (2, 1) and subtract them. First, subtract the x-coordinate from Point B from Point A to get -1. Then do the same thing with the y-coordinates to get 3. Put the -1 over 3 because x comes before y, and you have your slope.
I hope this helped :)
