Scientists us the system of ... to write very large or very small number

Mathematics

1 answer:

polet [3.4K]3 years ago

3 0

Scientists use the Powers of Ten to write very large or very small numbers.

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Let $f(x)$ be a function defined for all positive real numbers satisfying the conditions $f(x) > 0$ for all $x > 0$ and $f

algol [13]

Suppose we choose $x=1$ and $y=\dfrac12$ . Then

$f(x-y)=\sqrt{f(xy)+1}\implies f\left(\dfrac12\right)=\sqrt{f\left(\dfrac12\right)+1}\implies f\left(\dfrac12\right)=\dfrac{1+\sqrt5}2$

Now suppose we choose $x,y$ such that

$\begin{cases}x-y=\dfrac12\\\\xy=2009\end{cases}$

where we pick the solution for this system such that $x>y>0$ . Then we find

$\dfrac{1+\sqrt5}2=\sqrt{f(2009)+1}\implies f(2009)=\dfrac{1+\sqrt5}2$

Note that you can always find a solution to the system above that satisfies $x>y>0$ as long as $x>\dfrac12$ . What this means is that you can always find the value of $f(x)$ as a (constant) function of $f\left(\dfrac12\right)$ .

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3 years ago

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A jewelry store has a 40% off sale for all necklaces what is cost of a necklace that regularly cost $424

Fudgin [204]

Problem would be $424 x .40
and the answer would be <span>169.6 USD</span>

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3 years ago

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Find each angle or arc measure

Triss [41]

To find arc WY:
360 - 156 - 86
arc WY = 118

To find angle WXY
118 / 2 = 59 degrees