Frederick is working on a number puzzle and discovers that the product of the two base numbers is exactly twice as large as the
sum of those same base numbers.
Help on this, please?
2 answers:
Let two base numbers that is any of the digit from [0-9] be x and y.
It is given that, the product of the two base numbers is exactly twice as large as the sum of those same base numbers.
→xy=2×(x+y)
There are two variables in the equation , and there is only one equation.So, we have to use Hit and Trial method to evaluate the value of x and y.
→ 0≤ x≤9 and 0≤ y≤9
⇒ Integral Solution of the above equation can be evaluated by drawing the graph (Drawn the graph using Desmos)
1.⇒ x=4 and , y=4.
2.⇒ x=6 and y=3
3.⇒x=3 and y=6
4.⇒x=0 and y=0
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From the graph we can infer that the end points are (0,1) and (2,4). So lets use our slope formula to find the rate of change of:
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Here the end points are (0,0) and (2,2)
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Here the end points are (0,0.5) and (2,2.5)
The average rate of change of the function over the interval [0,2] is 1
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From the graph we can infer that the end points are (0,1) and (2,4). So lets use our slope formula to find the rate of change of
The average rate of change of the function
Rate of change of
Here the end points are (0,0) and (2,2)
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Here the end points are (0,-1) and (2,0)
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