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Gnesinka [82]
2 years ago
8

For which function will both ordered pairs (3,6) and (4,8) be solutions?

Mathematics
1 answer:
WITCHER [35]2 years ago
3 0
You just have to try them all:
Y=x+3 ≈ 6=3+3 ≈ 6=6 √
Y=x+3 ≈ 8=4+3 ≈ 8=7 X
So the first function doesn't work

Y=2x ≈ 6=2(3) ≈ 6=6 √
Y=2x ≈ 8=2(4) ≈ 8=8 √
Second function works

Y=x+4 ≈ 6=3+4 ≈ 6=7 X
Third function does not work

Y=12-x ≈ 6=12-3 ≈ 6=9 X
Fourth function doesn't work

So your answer is Y=2X :)
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Plutonium–238 has a yearly decay constant of 7.9 × 10-3. If an original sample has a mass of 15 grams, how long will it take to
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At = A0 * e^(-k * t)
At = 12 g
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k = 7.9 × 10^-3 = 0.0079 
t = ?

12 = 15 * e^(-0.0079 * t)
12/15 = e^(-0.0079 * t)
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Logarithm both sides (because ln(e) = 1:
ln(0.8) = ln(e^(-0.0079 * t))
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