Answer:
M
Step-by-step explanation:
The angle bisector is M
First you simplyify both sides,
8x+6<5x+21
Then you subtract both sides,
8x+(6−5x)<5x+(21−5x)
<span><span><span>3x</span>+6</span><21
</span>Subtract 6 from both sides,
<span><span><span><span>3x</span>+6</span>−6</span><<span>21−6
</span></span><span><span>3x</span><15
</span>finally you divide both sides by 3,
Your answer is:<span>x<<span>5
Glad I could help. c:</span></span>
<span>30 hours
For this problem, going to assume that the actual flow rate for both pipes is constant for the entire duration of either filling or emptying the pool. The pipe to fill the pool I'll consider to have a value of 1/12 while the drain that empties the pool will have a value of 1/20. With those values, the equation that expresses how many hour it will take to fill the pool while the drain is open becomes:
X(1/12 - 1/20) = 1
Now solve for X
X(5/60 - 3/60) = 1
X(2/60) = 1
X(1/30) = 1
X/30 = 1
X = 30
To check the answer, let's see how much water would have been added over 30 hours.
30/12 = 2.5
So 2 and a half pools worth of water would have been added. Now how much would be removed?
30/20 = 1.5
And 1 and half pools worth would have been removed. So the amount left in the pool is
2.5 - 1.5 = 1
And that's exactly the amount needed.</span>
The range of the function in the graph given can be expressed as: D. 20 ≤ s ≤ 100.
<h3>What is the Range and Domain of a Function?</h3>
All the possible set of x-values that are plotted on the horizontal axis (x-axis) are the domain of a function. In order words, they are the inputs of the function.
On the other hand, all the corresponding set of x-values that are plotted on the vertical axis (y-axis) are the range of a function. In order words, they are the outputs of the function.
In the graph given below that shows a function, s is plotted on the vertical axis (y-axis), and its values starts from 20, up to 100. The range can be said to be all values of s that are from 20 to 100.
Therefore, the range of the function in the graph given can be expressed as: D. 20 ≤ s ≤ 100.
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