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Mathematics

1 answer:

Evgesh-ka [11]2 years ago

8 0

Answer:

$2 + \sqrt{3}$

Step-by-step explanation:

$\dfrac{1}{\sqrt{4} - \sqrt{3}} =$

$= \dfrac{1}{2 - \sqrt{3}}$

$= \dfrac{1}{2 - \sqrt{3}} \times \dfrac{2 + \sqrt{3}}{2 + \sqrt{3}}$

$= \dfrac{2 + \sqrt{3}}{(2 - \sqrt{3})(2 + \sqrt{3})}$

$= \dfrac{2 + \sqrt{3}}{4 - 3}$

$= \dfrac{2 + \sqrt{3}}{1}$

$= 2 + \sqrt{3}$

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Kristin wants to buy a pair of jeans that cost $35 and are on sale

Genrish500 [490]

Answer:

$51.10

Step-by-step explanation:

First, find 20% of $35, then add the sale price of the jeans and the two t-shirts. Take the total and find the sales tax and add that onto the cost.

100 - 20 = 80 If you multiply the jeans by 80% it gives you the price for the jeans saving you from having to subtract the discount from the original price.

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3 years ago

H function is even, odd, or neither. b. g(x) = x² - 2 Is it odd or even

o-na [289]

$g(x) = x^2 - 2 \text{ is even function }$

Solution:

Given that,

$g(x) = x^2 - 2$

We have to find whether the above function is odd or even

If a function is: y = f(x)

If f(-x) = f(x), the function is even

If f(-x) = - f(x), the function is odd

Which is,

$\mathrm{Even\:Function:\:\:A\:function\:is\:even\:if\:}f\left(-x\right)=f\left(x\right)\mathrm{\:for\:all\:}x\in \mathbb{R}\\\\\mathrm{Odd\:Function:\:\:A\:function\:is\:odd\:if\:}f\left(-x\right)=-f\left(x\right)\mathrm{\:for\:all\:}x\in \mathbb{R}$