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garri49 [273]
3 years ago
8

Find the sum. (-7/2z+4)+(1/5z-15)

Mathematics
1 answer:
Dafna11 [192]3 years ago
7 0

Answer:

-(33+110z)/10z

Step-by-step explanation:

(-7/2z +4)+(1/5z -15)

from BODMAS, solving the one in the bracket

First(-7/2z +4)+(1/5z -15)

Find the Lcm

[-7/2z +4] +[1/5z -15]

(7+8z)/2z +(1-75z)/5z

find the Lcm which is 10z

[5(-7+8z) + 2(1-75z)]/10z

[(-35+40z)+(2-150z)]10z

(-35+2+40z-150z)/10z

(-33-110z)/10z

-(33+110z)/10z

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According to DeMorgan 's theorem, the complement of W · X + Y · Z is W' + X' · Y' + Z'. Yet both functions are 1 for WXYZ = 1110
sergeinik [125]

Answer:

The parenthesis need to be kept intact while applying the DeMorgan's theorem on the original equation to find the compliment because otherwise it will introduce an error in the answer.

Step-by-step explanation:

According to DeMorgan's Theorem:

(W.X + Y.Z)'

(W.X)' . (Y.Z)'

(W'+X') . (Y' + Z')

Note that it is important to keep the parenthesis intact while applying the DeMorgan's theorem.

For the original function:

(W . X + Y . Z)'

= (1 . 1 + 1 . 0)

= (1 + 0) = 1

For the compliment:

(W' + X') . (Y' + Z')

=(1' + 1') . (1' + 0')

=(0 + 0) . (0 + 1)

=0 . 1 = 0

Both functions are not 1 for the same input if we solve while keeping the parenthesis intact because that allows us to solve the operation inside the parenthesis first and then move on to the operator outside it.

Without the parenthesis the compliment equation looks like this:

W' + X' . Y' + Z'

1' + 1' . 1' + 0'

0 + 0 . 0 + 1

Here, the 'AND' operation will be considered first before the 'OR', resulting in 1 as the final answer.

Therefore, it is important to keep the parenthesis intact while applying DeMorgan's Theorem on the original equation or else it would produce an erroneous result.

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3 years ago
20 points . Please answer
yanalaym [24]

Answer:

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Step-by-step explanation:

7 0
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