What is the equation of the graph shown?
1 answer:
<em>Greetings from Brasil...</em>
As we have a line, the function will be given by the expression:
F(X) = AX + B
where
<em>A = ΔY/ΔX</em>
<em>B = where the line intersects the Y axis</em>
Looking at the graph we have already concluded that
B = - 3
A = ΔY/ΔX
A = (5 - 3)/(4 - 3) see attached picture
A = 2
So,
F(X) = AX + B
<h2>F(X) = 2X - 3</h2>
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The two positive numbers satisfying the given requirements are 15.56 and 15.56
For given question,
Let x and y be two positive numbers satisfying the given requirements.
⇒ xy = 242 .............(1)
The sum of given two positive numbers is a minimum.
Let the sum of given two positive numbers is S.
⇒ x + y = S ............(2)
From equation(1),
⇒ y = 242/x
Substitute above value of y in equation (2),
⇒ x + y = S
⇒ S = x + (242 / x)
Now, for above equation we find the derivative of x with respect to x.
⇒ 0 = 1 -
⇒ 242/x² = 1
⇒ x² = 242
⇒ x = ±15.56
Since the numbers are positive, x = 15.56
For x = 15.56
⇒ y = 15.56
Therefore, the two positive numbers satisfying the given requirements are 15.56 and 15.56
Learn more about the equation here:
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