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3 years ago

14

Compare the sets of numbers given and place them in the correct column or incorrect column. K: Move to Bottom 0.125 < 1 8 0.4

0.675 = 27/40 5 10 45 i NEEED HELP ASAP WILL GIVE ALL MY POINTS

1 answer:

polet [3.4K]3 years ago

6 0

Answer:

Correct Comparison:

1st

3rd

5th

6th

Incorrect Comparison:

the rest of them

Step-by-step explanation:

left-right, top-bottom order btw

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Suppose that the height (in centimeters) of a candle is a linear function of

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Let x be the amount of time in hours

Let y be the heoght of a candle in centimeters

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$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(9,\:24.5\right),\:\left(x_2,\:y_2\right)=\left(23,\:17.5\right)$

$m=\frac{17.5-24.5}{23-9}$

$m=-0.5$

$\mathrm{Plug\:the\:slope\:}-0.5\mathrm{\:into\:}y=mx+b$

$y=\left(-0.5\right)x+b$

$\mathrm{Plug\:in\:}\left(9,\:24.5\right)\mathrm{:\:}\quad \:x=9,\:y=24.5$

$24.5=\left(-0.5\right)\cdot \:9+b$

$24.5=\left(-0.5\right)\cdot \:9+b$

$-4.5+b=24.5$

$b=29$

$\mathrm{Construct\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:where\:}\mathbf{m}=-0.5\mathrm{\:and\:}\mathbf{b}=29$

$y=-0.5x+29$

Now plug in x=21, we get

$y=-0.5*21+29=18.5$

Thus the height of the candle after 21 hours is 18.5 centimeters.

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