which properties are present in a table that represents an exponential function in the form y=b^x when b>1
1 answer:
Answer:
The function has the property of exponential growth function.
Step-by-step explanation:
The exponential function is given by , where b > 1.
Now, for x = 0, we get y = 1,
For x = 1, we get y = b
For, x = 2, we get y = b²
And so on.
Now, as b > 1, so, b² > b > 1 and the values of y are increasing as the value of x increases.
Therefore, the function has the property of exponential growth function.
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Answer:
<h2>B. The amount of fuel used was lowest at speeds around 60km/h.</h2>Step-by-step explanation:
The decreasing part is from (20,13) to (60,6), which gives an average rate of
Then, we have an increasing part from (60,6) to (120,10), which gives an average rate of
Basically, at 60 km/h the fuel used was 6 liters per 100 kilometers. Notice that the other velocities make the car to use more liters per kilometers.
Therefore, the amount of fuel used was lowest at speeds around 60 km/h.
Answer:
Step-by-step explanation:
Hypotenuse² =base² + altitude²
(3x + 4)² = (2x + 1)² + (3x)²
{Use (a+b)² = a² + 2ab + b²}
(3x)² + 2*3x+4 + 4² = (2x)² + 2*2x*1 + 1² + 9x²
9x² + 24x + 16 = 4x² + 4x + 1 + 9x²
9x² + 24x + 16 = 13x² + 4x + 1
0 = 13x² + 4x + 1 - 9x² - 24x - 16
13x² - 9x² + 4x - 24x +1 - 16 = 0
4x² - 20x - 15 = 0
a = 4 ; b =-20 ; c = -15
D = b² - 4ac = (-20)² - 4*4*(-15) = 400 + 240 = 640
√D = √640 = 25.30
x = 5 .66 ; x = -0.66
Ignore x = -0.66 as length of a side cannot be negative
Answer : x = 5.66