Prove that a number in the form 6k+5,” what I mean is a number in the form of 6 times some integer plus 5. So to consider two arbitrary numbers of that form, you would need to use different symbols for each integer such as 6a+5 and 6b+5, or with subscripts: . Then show that the product of those two numbers can be expressed in the form 6m+1 where m is an integer.

Q: Explain why in any digraph, the sum of all the in-degrees must equal the sum of the out-degrees.

A: To prove, the sum of all the in-degrees must equal to the sum of all out-degrees. In-degree of a…

Q: If C = n2 - 2 and B = 3n + 8n2 + 2, find an expression that equals | 3C + 2B in standard form.

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Q: Two negative integers are 8 units apart on the number line and have a product of 308. Which…

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Q: 4. In(4i)

A: complex number

Q: Why can't "a-b" equal "b-a"? assuming a and b are nonzero real numbers

A: We have to show that (a-b) ≠b-a  by using a & bare non zero real number

Q: Use algebra to rewrite the expression BEFORE you differentiate. 8x¹7 - 2x¹4 14 x11 A) 32x³ - 2x D)…

A:

Q: A piece of land is to be fenced and subdivided as shown so that each rectangle has the same…

A: Since each rectangle has same dimension so each of them has width=3x+1 and height =x

Q: 20. Convert the numbers from scientific notation to standard form. 6.6 x 10-5 0.000066 660, 000 O…

A: Given 6.6X10-5

Q: Suppose one person can do a job in x minutes, and a different person can do the same job in y…

A:

Q: Find a primitive third root of unity e F7, then verify by direct computation that (5 - 5)? = -3 in…

A: Primitive roots are those x which satisfy x^k = 1 mod n

Q: The product of an even number and any other number is even.

A: The product of an even number and any other number is even.

Q: The number 3 1/2 falls between what two integers on the number line?

A: The number is given by 312 To evaluate : The two integers between which 312 falls.

Q: Which of the following expressions can be written as (ax+b)(ax-b), where a and b are integers?…

A: To express which of the following expressions can be written as (ax+b)(ax-b), where a and b are…

Q: Three good friends are the same algebra class. Their scores on a recent test are three consecutive…

A: Given:       Sum of three consecutive odd integers =279     Three consecutive odd integers are…

Q: There is a number 61 on a whiteboard. Every minute a number is erased and another number is written…

A:

Q: _2) Write the given expression a monomial: as -6rs + (-5rs)

A:

Q: Expand and simplify each of the following algebraic expressions. b) (2)(3x – 6)(-3x + 4) a)…

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Q: Let c be a positive constant and a be a variable positive parameter, with a > c. Consider the family…

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Q: Which expressions are equivalent to 4b ? Choose all answers that apply: b+2(b+2b) B 3b+b 2(26)

A: To determine: The expression which are equal to 4b. Now we shall simplify all the given expressions.…

Q: Compute the value of these expressions: 1x8+1,12x8+2 and 123x8+2

A: Given the expressions:1x8+1,12x8+2 and 123x8+2