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Ksivusya [100]
3 years ago
6

What is the time required for a car to travel 130 kilograms at a speed of 10 kilometers per hour?

Mathematics
1 answer:
melomori [17]3 years ago
3 0

Answer:

hi shrek i luv u

Step-by-step explanation:

everyone look at my recent question for dark humour

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A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is la
Minchanka [31]

The exponential function which represented by the values in the table is f(x)=4(\frac{1}{2})^{x} ⇒ 3rd answer

Step-by-step explanation:

The form of the exponential function is f(x)=a(b)^{x} , where

  • a is the initial value (when x = 0)
  • b is the growth/decay factor
  • If k > 1, then it is a growth factor
  • If 0 < k < 1, then it is a decay factor

The table:

→  x    :    f(x)

→ -2    :    16

→ -1     :    8

→  0    :    4

→   1    :    2

→   2   :     1

∵ f(x)=a(b)^{x}

- To find the exponential function substitute the value of x and f(x)

  by some values from the table to find a and b, at first use the

  point (0 , 4) to find the value of a

∵ x = 0 and f(x) = 4

∴ 4=a(b)^{0}

- Remember that any number to the power of zero equal 1

  except the zero

∵ b^{0}=1

∴ 4 = a(1)

∴ a = 4

Substitute the value of a in the equation

∴ f(x)=4(b)^{x}

- Chose any other point fro the table to find b, lets take (1 , 2)

∵ x = 1 and f(x) = 2

∴ 2=4(b)^{1}

∴ 2 = 4 b

- Divide both sides by 4

∴ b=\frac{2}{4}=\frac{1}{2}

- Substitute the value of b in the equation

∴ f(x)=4(\frac{1}{2})^{x}

The exponential function which represented by the values in the table is f(x)=4(\frac{1}{2})^{x}

Learn more:

You can learn more about the logarithmic functions in brainly.com/question/11921476

#LearnwithBrainly

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3 years ago
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