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3 years ago

Please help! It's due soon.

Mathematics

1 answer:

Sedbober [7]3 years ago

6 0

Answer:

Because f(g(x)) = g(f(x)) = x, f and g <u>are </u> inverse functions.

Step-by-step explanation:

f(g(x)) = f( $\frac{1}{4}\sqrt{x}$ ) = $16(\frac{1}{4}\sqrt{x} ) ^{2} = 16(\frac{1}{16}x)=x$

g(f(x)) = g $(16x^{2}) = \frac{1}{4}\sqrt{16x^{2} } = \frac{1}{4}(4x) = x$

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An ancient Chinese candle clock tells the amount of time that has passed by the amount of wax that has been melted off the candl

maxonik [38]

Answer:

$Time = 560\ mins$

Step-by-step explanation:

Given

$Candles = 2$ --- candles melted

$Divisions = 12$

$Time = 4\ hrs$ --- time to melt

Required

The time since the first was lit

If 1 candle melts in 4 hours, 2 candles will melt in 8 hours.

i.e.

$x = Candles * Time$

$x = 2 * 4hrs$

$x = 8hrs$

For the 3rd candle that has melted, 4 inches

First, calculate the fraction that melt

$Fraction = \frac{Melt}{Division}$

$Fraction = \frac{4}{12}$

$Fraction = \frac{1}{3}$

The time to melt is:

$y = Fraction * Time$

$y= 4 * \frac{1}{3}$

$y= \frac{4}{3}hrs$

So, the required time is:

$Time = x + y$

$Time = 8hrs + \frac{4}{3}hrs$

Convert to minutes

$Time = 8*60mins + \frac{4}{3}*60mins$

$Time = 480mins + 80mins$

$Time = 560\ mins$

4 0

3 years ago

Did I do this right? If pls tell me how to fix it. <br><br> Pls, look at the attachment.

anastassius [24]

It looks all good to me! :) gj

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olya-2409 [2.1K]

Answer: H

Step-by-step explanation:

So this is called a problem you would use PEMDAS or (please-excuse-my-dear-aunt-sally)

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Nata [24]

Answer:

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3 years ago