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Keith_Richards [23]
2 years ago
9

Is the expression X space logical or space (Y space logical and space Z )equivalent to (X space logical or space Y )space logica

l and space (X space logical or space Z )for all possible inputs of X, Y, and Z
Mathematics
1 answer:
Anit [1.1K]2 years ago
8 0

Answer:

To prove:

X+Y.Z=(X+Y).(X+Z)

Taking R.H.S

= (X+Y).(X+Z)

By distributive law

= X.X+X.Z+X.Y+Y.Z --- (1)

From Boolean algebra

X.X = X

X.Y+X.Z = X.(Y+Z)

Using these in (1)

=X+X(Y+Z)+Y.Z

=X(1+(Y+Z)+Y.Z --- (2)

As we know (1+X) = 1

Then (2) becomes

=X.1+Y.Z

=X+Y.Z

Which is equal to R.H.S

Hence proved,

X+Y.Z=(X+Y).(X+Z)

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Finding which number supports the idea that the rational numbers are dense in the real numbers.
aivan3 [116]

Answer:A terminating decimal between -3.14 and -3.15.

Step-by-step explanation:

A natural number includes non-negative numbers like 5, 203, and 18476.

It is encapsulated by integers, which include negative numbers like -29, -4, and -198.

Integers are further encapsulated by rational numbers, which includes terminating decimals like 3.14, 1.495, and 9.47283.

By showing a terminating decimal between -3.14 and -3.15, you are showing that rational numbers include integers (because integers include negative numbers.

8 0
3 years ago
Use the given x and y values to write a direct variation<br> equation.<br> x = 5, y = 25
Anuta_ua [19.1K]

Answer:

k= 1/5

Step-by-step explanation:

x is proportional to y

x = ky (k is const.)

k = x/y

k= 5/25

k = 1/5

7 0
2 years ago
Read 2 more answers
Mary eats 5 bananas and an additional 2 bananas when she works out for 2 hours. Represent the number of bananas that she eats wh
ElenaW [278]
For this item, we let x be the number of hours she works out and y be the total number of bananas that she will be eating after the workout. The expression that best described the given above is,
                             y = 5 + 2x
5 is given as the y-intercept because of the initial condition. 
8 0
3 years ago
The graph shows the number of pages to read after x days. Answer the 4 points
yanalaym [24]

Answer:

Step-by-step explanation:

•y-intercept is the 200 pages she has to read to begin with

•x-intercept on day 16 means she has finished reading all the pages, there are

zero pages left

•there are 100 pages left after 8 days

• the line is straight (no change in slope) so the reading rate was consistent over the 16 days.

7 0
2 years ago
HELP ITS MY LAST QUESTION WITH STEP BY STEP
maks197457 [2]

Answer:

71

Step-by-step explanation:

This is the answer because:

1) First, add Andy's score and Janet's score in order to know how much they got in total:

  • Janet's score: 119 + 96 + 145 = 360
  • Andy's score: 127 + 74 + 88 = 289

2) In order to find how much more Janet scored, jus subtract Andy's score from Janet's score:

  • 360 - 289 = 71

Therefore, the answer is 71.

Hope this helps! :)

8 0
2 years ago
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