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Inessa05 [86]
3 years ago
9

Let f(x)=14/7+2e^−0.6x . What is f(3) ? Enter your answer, rounded to the nearest tenth, in the box.

Mathematics
1 answer:
Gelneren [198K]3 years ago
5 0

Answer:

f(3)=1.9

Step-by-step explanation:

we have

f(x)=\frac{14}{7+2e^{-0.6x}}

we know that

f(3) is the value of the function for the value of x equal to 3

so

substitute the value of x=3 in the function

f(3)=\frac{14}{7+2e^{-0.6(3)}}=1.9

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the solution to the given synthetic division will be expressed as (2x^2 - 6x + 7) + \frac{9}{x-5}

<h3>Synthetic division of a polynomial</h3>

According to the given question, we are to divide (2x³ – 16x² + 37x – 26)  by (x - 5)

         2x^2 - 6x + 7

x - 5 | 2x³– 16x² + 37x – 26

          2x³ - 10x²

     __________

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                 -6x² +30x

             _______________

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                             7x   - 35
                         ______________

                                       9 - Remainder

Hence the solution to the given synthetic division will be expressed as:

 P(x) = Q(x) +  \frac{R(x)}{D(x)} \\(2x^3  -16x^2 + 37x - 26 = (2x^2 - 6x + 7) + \frac{9}{x-5}

Learn more on synthetic division here: brainly.com/question/24662212

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I'm sorry if i'm wrong but I hope this helps

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