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
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Answer:
6
Step-by-step explanation:
36 /8 -2
36/6
6
Answer:
A = {RRR, LLL, SSS}
Step-by-step explanation:
We are going to observe the direction of three consecutive vehicles.
The outcomes that we have to list are those of the event A where all three vehicles go in the same direction, this can be said as "the three vehicles turn right, the three vehicles turn left or the three vehicles go straight".
If the three vehicles turn right, the outcome would be: RRR.
If the three of them turn left, it would be: LLL.
If the three of them go straight, it would be: SSS.
It is obvious that these are the only 3 possible outcomes and therefore:
A = {RRR, LLL, SSS}
Answer:
67.2 and 94.1
Step-by-step explanation:
Let x represent one number and y represent the other
their sum is
x + y = 161.3 and the difference
x - y = 27.9 now add two equations
x + y + x - y = 161.3 + 27.9
2x = 188.2 divide both sides by 2
x = 94.1 to find the other number subtract this from 161.3
y = 161.3 - 94.1
y = 67.2
The value of x and y in the given equation is determined -1 and -2 respectively.
<h3>
Value of x and y</h3>
The value of x and y can be determined by solving the two equations simultaneously.
y = -2x - 4 ----- (1)
y = 4x + 2 ----- (2)
solve (1) and (2) together
-2x - 4 = 4x + 2
-6x = 6
x = -1
y = 4(-1) + 2
y = -4 + 2
y = -2
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