For each case, either explain why the case cannot occur or give an example to show that it can a. Two positive numbers whose product is less than both numbers. b. Two positive numbers whose product is between the two numbers. c. A positive number and a negative number whose product is less than both numbers. d. A positive number and a negative number whose product is between the two numbers. e. A positive number and a negative number whose product is greater than both numbers.

Q: 71-3 Let B= Find -4B. -562 -4B = 0

A:

Q: My question is The product of two integers will have the same sign as the quotient of the two…

A: The given statement is true always ,becauseLet take two numbers x and yCase I x and y both are…

Q: Simplify. х+4 4x + 24 3 X + 6x *2

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Q: Add. -3 + (-7) + 6

A:

Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: Add. (-9 + 5x6 + 6x4) + (6x6 - 2x4+7) O 11 + 4x6 - 2x² -3x6 + 3x4 + 13 11x6 + 4x4-2 O 4x² O 13x10

A: Add:- (-9+5x6+6x4)+(6x6-2x4+7) Sol:- -9+11x6+4x4+7 11x6+4x4-2 So, third option is correct.

Q: Find a pair of numbers whose sum and product are both equal to 32. (Use symbolic notation and…

A: A pair of numbers whose sum and product are both equal to 32.

Q: Simplify. Express using exponents. Zw 5w O a 7w 10w 10w

A: Simplifying the above expression.

Q: Simplify. State any non-permissible values. x² + 3x +2 3x+6 x-1 x-1 ÷

A: The given expression is x2+3x+2x-1÷3x+6x-1. To Find: simplification to the given expression and find…

Q: Remainder must always be either less than or equal to the divisor. true or false

A: Remainder must be either less than or equal to the divisor . The above statement is true .

Q: Find A. -6 4 (4A)-1 -2 1 A =

A:

Q: Divide 2x - 8x - 10 x - 3x -4 5x + 5x - 20 x² - 7x + 12 2x - 8x - 10 x- 3x-4 (Simplify your…

A:

Q: If a * b denotes a² – ab + 2, find the value of 2* (3 * 2). What is the value of x if x * 3 = 0? %3D

A: Given a * b = a2 - ab + 2

Q: 2. If a b= (a+b)^2 and a @b = (a - b)^2, then what is the value of (4*3) @ (3*4)? Select an answer A…

A: The problem provides two operations, * and @, which are defined as follows:a*b=(a+b))2a@b=(a-b))2We…

Q: Simplify. Remove grouping symbols and combine like terms. 6a²-2[4b-4b(b + 4)] 6a-2[4b-4b(b + 4)] =

A: The given expression is,

Q: Simplify. 5a 143b 5a-+ 36

A: we have to simlfy

Q: + - ..+(-1)28 . ) 28_728 15

A: The given series sum is 1-71+491-…+-128728128. The first term of the above series is 1 which can be…

Q: 3X 812x

A: To solve the following problem

Q: How to 3x-2 gel 8x +4

A:

Q: Factor. 4x2 + 12xy + 5y2

A:

Q: Find .. a = (7, -4), b= (5, 8)

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Q: Simplify. State any non-permissible values. 2x² - 18 x-1 2 x² -9 x + 3

A: Note: Non permissible values are those values for which the given expression is undefined.

Q: Find two numbers whose product is 36 if one of the numbers is 1 more than twice the other number. O…

A: