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Finger [1]
3 years ago
8

If the value of "y" Varies directly with "x" and y = -8 when x = 20, find "y" if x = -4.

Mathematics
1 answer:
Neko [114]3 years ago
6 0

Answer:

Step-by-step explanation:

When y varies directly with x

y=kx x=20 y=-8

k=y/x

k=-8/20

k=-0.4

now when x=-4 find y

y=kx

y=-0.4*-4

y=1.6

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Answer with explanation:

The given statement is which we have to prove by the principal of Mathematical Induction

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So,the Statement is true for , n=1.

2.⇒Let the statement is true for, n=k.

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                   ---------------------------------------(1)

3⇒Now, we will prove that the mathematical statement  is true for, n=k+1.

     \rightarrow 2^{k+1}>k+1\\\\L H S=\rightarrow 2^{k+1}=2^{k}\times 2\\\\\text{Using 1}\\\\2^{k}>k\\\\\text{Multiplying both sides by 2}\\\\2^{k+1}>2k\\\\As, 2 k=k+k,\text{Which will be always greater than }k+1.\\\\\rightarrow 2 k>k+1\\\\\rightarrow2^{k+1}>k+1

Hence it is true for, n=k+1.

So,we have proved the statement with the help of mathematical Induction, which is

      2^{k}>k

                 

   

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