Mean is an average.
In order to find mean we must add up all the numbers and divide by how many numbers there are.
82 + 105 + 247 + 119 + 94 + 202
Adding them together and we get...
849.
We can see that we have 6 numbers.
849/6
849 divided by 6 is...
141.5
That is the mean.
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Answer:
y = -12
Explanation:
−7(2y + 12) − 6y = 156
Simplify both sides of the equation
−7(2y + 12) − 6y = 156
(−7)(2y) + (−7)(12) + −6y = 156 (Distribute)
−14y + −84 + −6y = 156
(−14y + −6y) + (−84) = 156 (Combine Like Terms)
−20y + −84 = 156
−20y − 84 = 156
Add 84 to both sides
−20y − 84 + 84 = 156 + 84
−20y = 240
Divide both sides by -20
-20y / -20 = 240 / -20
y = -12
<span><span><span><span>−<span>x2</span></span>−<span>4x</span></span>+5</span>>0</span>
Let's find the critical points of the inequality.<span><span><span><span>
−<span>x2</span></span>−<span>4x</span></span>+5</span>=0</span><span><span><span>
(<span><span>−x</span>+1</span>)</span><span>(<span>x+5</span>)</span></span>=0</span>(Factor left side of equation)<span><span><span><span>
−x</span>+1</span>=<span><span><span>0<span> or </span></span>x</span>+5</span></span>=0</span>(Set factors equal to 0)<span><span>
x=<span><span>1<span> or </span></span>x</span></span>=<span>−5</span></span>
Check intervals in between critical points. (Test values in the intervals to see if they work.)<span>
x<<span>−5</span></span>(Doesn't work in original inequality)<span><span><span>
−5</span><x</span><1</span>(Works in original inequality)<span>
x>1</span>(Doesn't work in original inequality)
Answer: −5<x<1
