two pairs of different sizes contain 34.5 liters of water altogether. when 0.68 liter of water is poured from the bigger pail in
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pH = f(x) = -log₁₀x
1. Graphs
I used Excel to calculate the pH values and draw the graphs (see the Figure).
f(x) and f(x) +1 are plotted against the left-hand axis, while f(x+ 1) is plotted against the expanded right-hand axis.
The points at which pH = 0 and pH = 1 are indicated by the large red dots.
2. x = 0.5
When x = 0.5, pH ≈0.30. The point is indicated by the red diamond.
3. Transformations
(a) ƒ(x) = -log(x) + 1
This function has no y-intercept, because log(0) is undefined.
(b) ƒ(x +1) = -log(x + 1)
f(0) = -log(0 + 1) = -log(1) = 0
This function has a y-intercept at (0,0).
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Answer:
Step-by-step explanation:
we know that
The equation of a exponential decay function is given by
where
y is the value of the investment
x is the number of years
a is the initial value
r is the rate of change
we have
substitute
Find the amount Amy has at the end of 8 years
For x=8 years
substitute the value of x