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2 years ago

The price of a computer is first reduced by 10% and after a while by another 20%. Who is right? Explain how you are thinking.

Mathematics

1 answer:

Oxana [17]2 years ago

3 0

if u reduced the price by 10% first it would go from 100% to 90%

20% of 90 is 18

at the end the price is 72% of the original price.

Bodil is correct. The reduction is less than 30%.

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2 years ago

Determine the domain and range of (g ○ f)(x) if f of x is equal to 4 over the quantity x squared minus 4 end quantity and g(x) =

lara [203]

The domain and range of a function are the possible x and y values of the function.

The domain and the range of the function is: (a) $\mathbf{D:\{x \in R|x \ne -2,2\}}$ and $\mathbf{R:\{(-\infty,1) \cup (2,\infty)\}}$

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$\mathbf{f(x) = \frac{4}{x^2 - 4}}$

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$\mathbf{(g\ o\ f)(x) = g(f(x))}$

So, we have:

$\mathbf{(g\ o\ f)(x) = \frac{4}{x^2 - 4} + 2}$

Take LCM

$\mathbf{(g\ o\ f)(x) = \frac{4 + 2x^2 - 8}{x^2 - 4} }$

$\mathbf{(g\ o\ f)(x) = \frac{2x^2 - 4}{x^2 - 4} }$

Represent the denominator as follows, to calculate the domain

$\mathbf{x^2 - 4 \ne 0 }$

Add 4 to both sides

$\mathbf{x^2 \ne 4 }$

Take square roots of bot sides

$\mathbf{x \ne \±2 }$

Hence, the domain of the function is:

$\mathbf{D:\{x \in R|x \ne -2,2\}}$

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Hence, the range is:

$\mathbf{R:\{(-\infty,1) \cup (2,\infty)\}}$

Read more about domain and range at:

brainly.com/question/1632425

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Answer:

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Part B) we know that

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Part C) we know that

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$tan(A)=\frac{BC}{AC}$

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$tan(A)=\frac{2\sqrt{42}}{19}$

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