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Answer: f(8) = 620.6

Explanation:

To solve, you must first use substitution, and replace the x value in the given function, with 8.


f(8)=(750)/(1 + 74e^(-0.734(8)) )

Next you follow PEMDAS to solve the rest of the equation to find f(8).

What is PEMDAS?

PEMDAS is the order of operations for mathematical expressions involving more than one operation.

You solve in the following order

  • P = Parenthesis
  • E = Exponents
  • M = Multiplication
  • D = Division
  • A = Addition
  • S = Subtraction

In this case our next step is deal with the exponents.

And by doing so, you will be multiplying -0.734 by 8


f(8)=(750)/(1 + 74e^(-5.872) )

And typical with exponents we would raise the number or variable given to the power of the exponent.

However we have a continuous number in this case, which is e.

What is e?

e is a mathematical constant approximately equal to 2.71828

We can now use a calculator to find what e (2.71....) is when raise to the exponent -5.872. Which results to 0.002817 (0.0028172332293320237716146943697).

When continuing to use numbers in calculators, don't use the rounded or shortened of the full number. Make sure to use the all of the numbers (given in the calculator) to its full extent to maintain accuracy.


f(8)=(750)/(1 + 74(0.002817) )

Now multiply 74 and 0.002817.... (use the full number to multiply (0.0028172332293320237716146943697)). The product is (0.2084752589705697590994873833578).


f(8)=(750)/(1 + 0.2084 )

Now lets add 1 + 0.2084.... and you get 1.2084


f(8)=(750)/(1.2084 )

Last you need to divide:

and you get that

f(8) = 620.6167

Now lets go back to the question, and we see that is says for you to round your answer to the nearest tenth.

so your final answer is:

f(8) = 620.6

User Sheelpriy
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