Find the difference 18-15
2 answers:
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9514 1404 393
Answer:
a) 600
b) see below
c) 1.26 hours
Step-by-step explanation:
a) The value of y when x=0 is the coefficient of the exponential term:
y = 600·3^(-0) = 600·1 = 600
There were 600 atoms to start.
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b) see attached for a graph
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c) The graph shows 150 atoms at t = 1.26, about 1.26 hours after the start of time counting.
If you want to find that value algebraically, substitute for y and solve for x. Logarithms are involved.
150 = 600·3^(-x)
150/600 = 3^(-x)
log(1/4) = -x·log(3)
x = -log(1/4)/log(3) = log(4)/log(3) ≈ 1.2618595
After about 1.26 hours, there were 150 atoms.
9514 1404 393
Answer:
(f/g)(8) = -104/41
Step-by-step explanation:
Fill in the value for x and do the arithmetic.
f(8) = 3 -2·8 = 3 -16 = -13
g(8) = 1/8 +5 = (1+40)/8 = 41/8
Then the ratio is ...
(f/g)(8) = f(8)/g(8) = -13/(41/8) = -13(8)/41
(f/g)(8) = -104/41
