2 years ago

If f(x) = 3 - 2x and g(x)= 1/(x+5),what is the value of (f/g) (8)?

Mathematics

1 answer:

Alekssandra [29.7K]2 years ago

4 0

Answer:

(f/g)(8) = -169

Step-by-step explanation:

Simply plug in x = 8 into our equation:

$\frac{3-2(8)}{\frac{1}{8 + 5} }$

$\frac{-13}{\frac{1}{13} }$

-13(13)

-169

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#4. Find the value of x and use it to find the length of CE, BD, and BE Find BD.

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Answer:

x = 8
12 = BD
23 = BE
13 = CE

Step-by-step explanation:

We know that:

BD = 2x - 4
DE = 2x - 3 - 2
BE = 3x - 1
CE = 2x - 3

Solution:

(2x - 4) + (2x - 3 - 2) = 3x - 1
=> 2x - 4 + 2x - 3 - 2 = 3x - 1
=> 4x - 9 = 3x - 1
=> 4x - 3x = 9 - 1
=> x = 8
=> 2x - 4 = BD
=> 2(8) - 4 = BD
=> 16 - 4 = BD
=> 12 = BD
=> 3x - 1 = BE
=> 3(8) - 1 = BE
=> 24 - 1 = BE
=> 23 = BE
=> 2x - 3 = CE
=> 2(8) - 3 = CE
=> 16 - 3 = CE
=> 13 = CE

Hence, the answers are:

x = 8
12 = BD
23 = BE
13 = CE

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