What is the positive solution to the equation 3x^2−12=0?
1 answer:
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a) Option B Direct variation, y=1.8x is correct option.
b) Option A Not a direct variation is correct option.
Step-by-step explanation:
a) for the data in the table tell whether y varies directly with X if it does write an equation for the direct variation
The direct variation is represented by:
We need to find k.
Given the values of x and y in table we will find k. if value of k is constant, so x and y varies directly
Since value of k is constant i.e 1.8 so, y varies directly with x.
Option B Direct variation, y=1.8x is correct option.
b) For the data in the table tell whether Y varies directly with x if it does write an equation for the direct variation.
The direct variation is represented by:
We need to find k.
Given the values of x and y in table we will find k. if value of k is constant, so x and y varies directly
Since value of k is not constant so, y doesn't varies directly with x.
Option A Not a direct variation is correct option.
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<h3><u>Answer:</u></h3>
A sequence is given to us is , and we need to find expression for nth term of the sequence. The given sequence is ,
When we flip the numbers , we can clearly see that the number are in Harmonic Progression.
That is when we flip the numbers they are found to be in Arithmetic Progression .
And nth term of an Harmonic Progression is :-
Hence here
- Common difference = 1
- First term = 1 .
<u>Substituting the respective values,</u>