1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
notka56 [123]
3 years ago
6

Use the laws of Boolean algebra to show that the two Boolean expressions in each pair are equivalent. Show that a. xy + xy = x.

b.Show that xy + zx = (x + y)(z + x) c. x + xy = x
Mathematics
1 answer:
prohojiy [21]3 years ago
4 0

Answer:

a) b) and c) is proven :)

Step-by-step explanation:

a) xy+x\bar{y}=x(y+\bar{y})=x*1=x

( For a) we used Boolean law a+\bar{a}=1 like always true, and

a1=1a= a)

b)  \overline{(xy+z\bar{x})}=\overline{(xy)}\overline{ (z\bar{x})}=(\bar{x}+\bar{y})(\bar{z}+\bar{\bar{x}})=(\bar{x}+\bar{y})(\bar{z}+x)  

( For we used double negation \bar{\bar{a}}=a, and De Morgans law \bar{(a+b)}=\bar{a}\bar{b} and \bar{(ab)}=\bar{a}+\bar{b})

c) x+xy=x(1+y)=x1=x

(For c) we used Distribution law a(b+c)=ab+ac, and identity a1=1a=a)

You might be interested in
Delaney has $28.00 and buys a shirt for 14.00. Delaney used the equation 14x = 28 to model her scenario, where x represents the
maksim [4K]
She is incorrect because 14 multiplied by 2 equals 28, which means she wouldn’t have any money left over.
5 0
3 years ago
Finding the discriminant
mario62 [17]
I believe the answer you are looking for is 16
7 0
3 years ago
David earns $15 per hour working at a bowling alley. This week, he earned $180, how many hours did he work? Choose the correct e
vovangra [49]

Answer:12 hrs

Step-by-step explanation: $15 per hour -> $180/$15 = 12 hours

8 0
3 years ago
Read 2 more answers
Bryce and Rachel are collecting canned goods for the local food bank Bryce goal is to collect 32 items Rachel's goal is to colle
REY [17]
The faction is 3/4. 
I got the answer by doing 24/32 = 0.75. 
Then, I converted the decimal into a fraction. Which, is 3/4. 
I hope this helps! :) 
6 0
3 years ago
Find the value of x (image below)
Hitman42 [59]

Answer:

x=35

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • 14 is what percent of 280?
    10·1 answer
  • Sin C =<br><br> Whats the answer ?!?
    15·1 answer
  • if a number is multiplied by it self then multiplied by another number and equals 150 what are the 2 numbers!
    12·1 answer
  • Rita's company reimburses her expenses on food, lodging, and conveyance during business trips. The company pays $55 a day for fo
    5·1 answer
  • What is -3x+5(x+2) ?
    10·2 answers
  • Kyle charges 50¢ for a cup of lemonade. Kyle can represent the total sales for the day using the expression 50c. Kyle is thinkin
    11·2 answers
  • Which of the following values of t will result in a true statement when substituted into the given equation?
    5·1 answer
  • Answer answer answer ​
    9·1 answer
  • Tossing a coin and spinning a spinner with five equal sections, 1-5
    10·2 answers
  • Hey, can u help, answer right please. NO LINKS!
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!