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Leokris
2 months ago
7

A machine called Feynman, produces output, that is 5 times its input followed by an increase of 2. Another machine called Maxwel

l, produces output, that is 5 times its input followed by a decrease of 2. The output of Feynman feeds into Maxwell. If Maxwell produces an output of 33, the input to Feynman must be:
(a). 1
(b). 31/5
(c). 41/25
(d). 21/25
Mathematics
2 answers:
tester [12.3K]2 months ago
8 0

Response:

Option a is indeed the right choice.

                  (a)  1

Detailed explanation:

  • Let the input for Feynman be denoted as i and its output be f.

               It is stated that:

Feynman generates an output that is 5 times its input plus an increment of 2.

Thus, the equation derived from this information is:

                    f=5i+2------------(1)

  • Furthermore, it is given that:

The output from Feynman is fed into Maxwell.

Let the output from Maxwell be labeled m, with its input being f.

Maxwell generates an output that is 5 times its input minus a reduction of 2.

This means the equation corresponding to this information is:

               m=5f-2----------------(2)

Substituting the value of f from equation (1) into equation (2)

i.e.

m=5(5i+2)-2\\\\i.e.\\\\m=25i+10-2\\\\i.e.\\\\m=25i+8

If Maxwell's output is: 33

which means

m=33

Consequently, the input to Feynman is: 1

Inessa [12.5K]2 months ago
7 0

I genuinely believe that the answer is a

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