In the case of exponential functions, the graph is shifted when a constant is added to the exponent of the constant. The original equation, f(x) is:
f(x) = (1/2)ˣ
Now, when horizontal shifting is occurring, the equation is:
y = Cˣ⁺ᵃ
If a is positive, the graph shifts to the lefts and the shift is equal to a units. If a is negative, the graph shifts to the right and the shift is equal to a units. Therefore, to shift the graph 3 units to the left:
g(x) = (1/2)⁽ˣ⁺³⁾
The correct answer is B.
The surface elevation of Lake Powell is decreasing at the rate of 77.2 feet per year.
<h3>What is the rate(slope) at which the sea is decreasing?</h3>
The rate at which the surface elevation of the Lake Powell is decreasing can be determined by calculating the slope(steepness) of the sea.
The slope can be given as:
Slope (Δm) = rise/run
Slope (Δm) = Δy/Δx
slope (Δm) = y₂ - y₁/x₂-x₁
slope (Δm) = 3263.4 - 3881/2006-1998
slope (Δm) = -617.6/8
slope (Δm) = -77.2
Therefore, we can conclude that the surface elevation of Lake Powell is decreasing at the rate of 77.2 feet per year.
Learn more about calculating the slope here:
brainly.com/question/1884491
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Answer:
3 3/4
Step-by-step explanation:
5 times 3/4 equals 3 3/4! :)
The correct answer would be: 6/5
Answer: x = 11
Step-by-step explanation:
First, add 3 to both sides
0.4x - 3 = 1.4
+3 +3
0.4x = 4.4
Then, divide each side by 0.4 to isolate x
x = 11
