3. Given this expression: (A + B C + B) B Add lines or columns as needed to answer the following questions: a: Complete the truth table for (A + B C + B) B в с A 1 1 b. Simplify the expression using the Boolean algebra rules Expression Reason (A + Ē C + B) B Original Expression c. Complete a truth table for the simplified expression (add columns if necessary) A B C Are the two expressions equivalent? Explain: a.

Q: 8. Which expression below is equivalent to the expression 18a + 12b + 9a + 24b? А. 63аb В. 30ab +…

A: Given expression 18a + 12b + 9a + 24b

Q: If A =     -5   1     and   B =    3    -6                 3   2                       2    -3…

A: Given Problem:- A=-5132 and B=3-63-3 To find:- A2

Q: 2. Simplify the expression and state restrictions on the variables: 2a-5 5a a +3 + ÷ a²2a 15 a² +…

A:

Q: ifa+b+c=6, a2+b2+c2=14, and a3+b3+c3=36 then abc is

A: Solution:

Q: Find, if possible, (a) AB and (b) BA.

A:

Q: Answer questions:  1) -2/3 2) -4/3 3) 4/3 4) 0

A: We have to evaluate limx→-3+f(x) g(x)3.

Q: If n(A) = 106, n(A ∪ B) = 141, and n(A ∩ B) = 46, find n(B).

A:

Q: 3. Combine terms: 12a +26b -4b – 16a. (а) 4а + 22b, (b) -28а + 30b, (с) -4а + 22b, (d) 28а + 30b.

A: Given Terms is: 12a+26b-4b-16a

Q: 1) Which of the following expressions is equivalent to V135 ? А. 3V15 В. З5 C. 5V3 D. 3/5

A:

Q: Find, if possible, (a) AB and (b) BA.

A: We know the order of a matrix is defined as  ---->  m x n where, m = number of rows…

Q: Given that A = 2 3 -2 and B = 3 -4 +] evaluate A² - 2B.

A:

Q: Since it is known that x² + y?= c?, write the expression below in terms of c2 - 2x* - 16y* - 16x'y?…

A: Solution-

Q: n(A) = 104, n(A ∪ B) = 144, and n(A ∩ B) = 45, find n(B).

A: The following information has been given: n(A) = 104, n(A ∪ B) = 144,  n(A ∩ B) = 45 We need to…

Q: If A =     -5   1     and   B =    3    -6                 3   2                       2    -3…

A: Given A=-5132We need to find A2

Q: Which of the following is equivalent to p →¬q? Select one or more: a. ¬(p^q) b. pVq C. pAq d. -p V¬q

A: Using rules of inference we can get the equivalence form of the given expression.

Q: a) If A = -3 B = Find A? +BC C

A:

Q: Find, if possible, (a) AB and (b) BA.

A: (a) Consider the given matrices A and B. As the number of the rows is equal to the number of columns…

Q: Find 52 + 48 + 44 .. + 0 + -4 + -8. а. 520 b. 176 с. 364 d. 722 е. 352

A:

Q: Find (- 3)BA + (6)CD, if possible. 3 - 5 5 4 -5 1 - 3 D= -2 1 - 1 2 2 3 6 9 - 4 1 Select the correct…

A:

Q: The table shows the movement of a stock for 30 randomly selected trading days. "Up" means the stock…

A:

Q: Place parentheses, if needed, to make each of the following equations true. c. 5+4+9+2=9 d.…

A: The given equations are, a) 7+4·2=22b) 8÷2+1=5c) 5+4+9÷2=9d) 5+6÷2+2=10 We have to place the correct…

Q: If  n(A) = 69, n(B) = 23, and n(A ∩ B) = 3, find n(A ∪ B).

A:

Q: mplify the expression 1 2 16 C. 2 2 1. В. D. 2 4 41 64 21 192 O D

A:

Q: 4.) Which expression is equivalent to 2(2 - 9) + 2v? 14 - 2v -14 + 2v -12v 16v А. В. C. D.

A:

Q: Open with 3. All of the employees at the AcmeSoft company are either programmers or salespeople. The…

A:

Q: (a + b) (a+b+c) = a² + 2ab + b² + ac + bc Select one: O True O False

A: Solution-

Q: 6. Enter the Tetter the ponds with the CoPrect reason from the reasons bank for each statement.…

A: Congruent triangle

Q: 7. Variable represents students, y represents courses. M(y) rep. y is a math course, F(x) rep. x is…

A:

Q: Let A = -4 4 2 -3 -2 -4 2A-B= 4 -1 -1 Determine 2A - B. and B = -1 3 -3 0 3 -3 -4 -3 4

A: Here, we have given two matrix now we have to find out the required matrix  (2A-B) So, for this…

Q: Find, if possible, (a) AB and (b) BA.

A: Given: two matrix A and B. Find: AB and BA

Q: All of the employees at the acmesoft company are either programmers or salespeople. The programmers…

A: Consider the person A. If A is a programmer, he will say he is programmer. If A is a sales person,…