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fiasKO [112]
3 years ago
8

Let f(x)=81+3e−0.7x .

Mathematics
2 answers:
Dmitry [639]3 years ago
8 0
The value of f(3) can be calculating by putting the variable x equal to 3 , x=3 which gives:
f(3)=81+3e-0.7*3=81+3e-2.1
But there is one more unknown in the equation e. e is a constant called Euler's number, after the Swiss mathematician Leonhard Euler. 
e=2.7182818284590.....
Rounding to the nearest hundredth the thousandths place is used to determine whether the hundredths place rounds up or stays the same.
Rounding the Euler's constant to the nearest hundredths gives: 
e=2.72 
So, f(3)=81+3*2.72-2.1=81+8.16-2.1=87.06
Dahasolnce [82]3 years ago
7 0
ANSWER

f(3) = 87.02

EXPLANATION

The given expression is

f(x) = 81 + 3e - 0.71x

We want to find the value of
f(3)

This means that, we need to substitute
x = 3
into the above expression and simplify.

Also, recall that,
e \approx2.7182

On substitution, we obtain,

f(3) = 81 + 3(2.7182)- 0.71(3)

f(3) = 81 + 8.1546- 2.13

f(3) = 87.0248

Rounding to the nearest hundredth gives,

f(3) = 87.02
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