Let the operations * and e be defined on the set of integers. Find each of the following are commutives, associatives, left-distributive, and right-distributive. 3. a*b=2ab; aeb=2a+2b+4ab

Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: An operation * is defined on the set of real numbers by a * b = a + b – ½ ab. What is (3 * 2) * 2? *

A: The rational number and irrational number are together called real numbers. An operation is a rule…

Q: Which of the following is equivalent to 4x? + – + 9+++÷2x² +++x + – + 3+? - 2x 3

A: We need to solve +2x4x2+-+9++++32x2+++x+-+3+. So,…

Q: In Z6, evaluate the following expressions. > > V 3- (2 × 5) 3² +4² 5+3 2 × 3 1. 1 2. 2 3. 3 4. 4 5.…

A:

Q: The coefficient of x’ in the expression (x³+4/x²)4 is O 128 256 64 16 O 32

A:

Q: Let a and b be integers, such that: a + 5b and: 5a - b, are both divisible by 2002. Try that; a² is…

A:

Q: Evaluate the combination. C(44,22)

A:

Q: 3 4x +9x-5 2x 1 Which expression is equivalent to

A:

Q: If -91 and B -3 [8 A = -10 3 4 then 188 А(5B) -

A: We will find out the required value.

Q: Foud the progagation of orar for 8r by using the $llowing equanticom

A: Given the equation r=rt+1+rt2

Q: Determine whether the statement is true or false. Justify your answer with a proof or…

A: Yes, the product of  even integer and any integer equal to even

Q: Which of the following expressions is equivalent to 2i? Select all that apply. a (2i) (2)

A: Given: x23 Now check:   a)  x32=x132=x13×2=x23 b) x3=x123=x12×3=x32 c) x2x3=x2-3=x-1 d)…

Q: The terms -2 ax?y and -2x2y are like terms. O True O False

A: To find The terms -2ax^2y and -2x^2y are like terms or not.

Q: (2x÷y)" (v÷x)' 4

A:

Q: if A and B are not dis joint than event, p(A Or B) LP (A) + PlB) True False

A: We have to find true or false.

Q: For all integers x and y, if 6x+y is odd, then x and y are both odd. True False

A:

Q: can it be further simpl

A: Find value of cos2(60°)+2tan(30°)

Q: Evaluate the combination. C(39,30) C(39,30) =| (Use scientific notation. Round to three decimal…

A:

Q: Use the order of operations to find the value of the following expression. 52 -8 + 22 x4 - 1 .....

A:

Q: Identify all of the coefficients in the following expression. 8x+y-13 O 8,1 О 8х, у, -13 О 8, 13 O…

A:

Q: 7 + X =As a commutative property

A: The commutative property states that the order of addition does not affect the results. In simple…

Q: For any integer a, show that a²-a+7 ends in one of the digits 3, 7, or 9.

A: For any integer a , we have to show that a2 - a + 7 ends in one of the digits 3 , 7 , or 9 . Note…

Q: Add by using the rules for addition of integers. - 40 + 25 + (- 41)+ 26 + (- 1)

A:

Q: Simplify by adding the two polynomials using algebra tiles. %3D O x? + x + 4 O x2 O x² + 4x+ 3 O x2…

A: Solution

Q: 2. Which expression is equivalent to * 2(x- 4)2 – 2 2x - 16x+ 32 2x + 16x – 32 Option 1 Option 2 2x…

A:

Q: simplify completely: 3m T72 m2 - 36 т-6

A: 3mm2-36+mm-6 We need to simplify it completely.

Q: Re-write the following set of expressions as a single expression. Clearly define any…

A:

Q: Evaluate the following expression. 9-1+9+3+ =

A: 9-1+9+81 =8+9+81

Q: a + (b + c) = (b + c) + a is an example of the commutative property. %3D O True O False

A: We use the definition of commutative property to find the answer.

Q: In Z7, evaluate the following expressions. 3- (2 x 5) 2 × 3 × 4 5 x 3 3+4+5 3² +4² 1. 1 2. 2 3. 3 4.…

A: