Answer:
An inequality is a relation which makes a non equal comparison between two of more numbers or other mathematic equations. > I'd greater than < is less than = equal to. ≥ is greater than or equal ≤ less than or equal to. = equal to ≠ not equal
Answer:
E
Step-by-step explanation:
Answer:D
Step-by-step explanation: All equations should be balanced and equal. What you do to one side, must be done to the other.
Answer:
a) The length of the building that should border the dog run to give the maximum area = 25feet
b) The maximum area of the dog run = 1250 s q feet²
Step-by-step explanation:
<u><em>Step(i):-</em></u>
<em>Given function </em>
<em> A(x) = x (100-2x)</em>
<em> A (x) = 100x - 2x²...(i)</em>
<em>Differentiating equation (i) with respective to 'x'</em>
<em> </em>
<em></em>
<em> ⇒ </em>
...(ii)
<em>Equating zero</em>
⇒ 100 - 4x =0
⇒ 100 = 4x
Dividing '4' on both sides , we get
x = 25
<em>Step(ii):</em>-
Again differentiating equation (ii) with respective to 'x' , we get

Therefore The maximum value at x = 25
The length of the building that should border the dog run to give the maximum area = 25
<u>Step(iii)</u>
Given A (x) = x ( 100 -2 x)
substitute 'x' = 25 feet
A(x) = 25 ( 100 - 2(25))
= 25(50)
= 1250
<u><em>Conclusion</em></u>:-
The maximum area of the dog run = 12 50 s q feet²
<em> </em><em> </em>
<em></em>