The last description actually clarifies the given equation. The equation should be written as: f(x) = 2ˣ +1. The x should be in the exponent's place.
The average rate of change, in other words, is the slope of the curve at certain points. In equation, the slope is equal to Δy/Δx. It means that the slope is the change in the y coordinates over the change in the x coordinate. So, we know the denominator to be: 2-0 = 2. To determine the numerator, we substitute x=0 and x=2 to the original equation to obtain their respective y-coordinate pairs.
f(0)= 2⁰+1 = 2
f(2) = 2² + 1 = 5
So, the slope is equal to:
Average rate of change = (5 - 2)/(2 - 0)
Average rate of change = 3/2 or 1.5
Answer: Perimeter = 2(L + W) and
as a simplified expression is, 8x + 2
Step-by-step explanation: The length is represented by L and the width is represented by W in the expression above.
However, since we have been given the sides of the rectangle as x + 2 and 3x - 1, we shall substitute for the values of these in the expression representing the perimeter.
2(L + W) can now be written as
2( {x + 2} + {3x - 1} )
2(x + 2 + 3x - 1)
By collecting like terms, we now have
2(4x + 1)
8x + 2.
The expression can now be simplified as 8x + 2
Here is the answer :
people who like both the songs is 35 and
people who like only folk songs is 100.
Answer: "independent variables" .
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<span>1 Liter = 1.05 quart.
1/1.05 Liter = 1.05/1.05 quart = 1 quart.
Replacing this value of quart in the equation below.
1 gallon = 4 quarts
1 gallon = 4 * 1/1.05 Liters
1 gallon = 3.80952380952
Total oil consumption per year in gallons is 600,000,00
So, total oil consumption per year in liters is obtained by:
600,000,000 * 3.80952380952 = 2285714285.71 liters
Converting to scientific notation, we have 2.28571 * 10^9 liters.</span>
