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2 years ago

The function h is defined by h(x)=60÷x−r, where r is a constant. Find r, if the graph of h passes through the point (−6,−20).

Mathematics

1 answer:

fomenos2 years ago

4 0

Answer:

r = 10

Step-by-step explanation:

You want to find r such that ...

-20 = 60/-6 -r

r = 60/-6 +20 . . . . . add 20+r

r = -10 +20 = 10

_____

If you mean h(x) = 60/(x -r), then the answer is different.

-20 = 60/(-6-r)

-6-r = 60/-20 . . . . . multiply by (-6-r)/(-20)

-r = -3 +6 = 3 . . . . . add 6, simplify

r = -3 . . . . . . . . . . . . multiply by -1

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The generic equation of the line is:

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Where,

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The slope of the line is:

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Substituting values we have:

$m =\frac{15-17}{5-3}$

Rewriting:

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Then, choosing an ordered pair we have:

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Substituting values we have:

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Rewriting the equation:

$H-15=-T+5$

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Then, for 8 hours we have:

$H=-8+20$

$H=12$

Answer:

a linear equation to model the relationship between height H of the candle, and T time is:

$H=-T+20$

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fomenos

Answer:

y = 50·3^x
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Step-by-step explanation:

The problem statement tells you each observed count is 3 times the last one.

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Delicious77 [7]

Answer:

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