Prove that 3n+ 7 is even if and only if n is odd. You must use definitions of even (and odd, if needed). Do not use "even plus even is even" or similar rules of thumb.

Q: o use divisibility in this problem but i am not sure where to start. Prove or disprove (with a…

A: Introduction: If a and b are integers, a divides b if c is an integer and ac = b. The symbol a|b…

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

A:

Q: Provethat f fear dz- F(2) d2 Saro if ce+Cathen

A:

Q: 10x* - 7x* - 1 2 Which of the following is an equivalent expression for x-x+3 10x? + 10x – 27 57x +…

A: We need to evaluate an equivalent expression of the following expression 10x4-7x2-1x2-x+3

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: 7. If y = -2√x + 4, is translated 5 units to the right. State the new equation. a. y = -2√x +5+4 b.…

A:

Q: You wrote that R has a zero divisor. So cancellation holds. I don't understand that. In the question…

A: Let R be a ring. If there is non zero elements a,b in R such that ab=0 then we say that R has no…

Q: 51|1032n+9 – 7, for any integer n 2 0. O True False

A:

Q: 2. Consider the polynomial function h(x) is shown in the graph. Answer the following questions. a.…

A: According to the given information: (a).  Polynomial h(x) has complex zeroes: x = 2i  and  x = -2i

Q: list at least 4 ways to express the fact that 6 is a multiple of 2. (use words other than multiple…

A: Introduction: - Manifold is the most basic definition of multiple. The product result of one number…

Q: Which of the following is the value of the expression o ² 1/2 2 (3) X4 x² +4 2 X when x = -2?

A:

Q: can it be further simpl

A: Find value of cos2(60°)+2tan(30°)

Q: f x and y are two positive real numbers, then there exists a positive integer n such that ny>x

A:

Q: 6.1 3m2- 2m +5 and m² + 3m-4 1*.. ...... 6.2 5n2-3n + 2 and -3n-4n + 5 From 2x- 7x² +x- 3 subtract…

A: We need to subtract the given expression:

Q: 2 (3 + 5) = 2 x 3 + 2 x 5 is an example of the distributive property. O True O False

A:

Q: 10 Find whether A and B are independent in the following cases: (AB) = 256 ; (.B) = 768 ; (AB) = 48…

A:

Q: 3(3n+2)

A:

Q: Evaluate [14*15*0.3](6)

A:

Q: An Example Where the ConversIes False Show that the converse of, "If m and n are even, then m + n is…

A:

Q: Show that if x is an integer and x3 + 11 is odd, then x is even using a proof by contraposition.

A: We need to prove that if x is an integer and x3+11 is odd , then x is even by contraposition. The…

Q: de 20. J 90² +120 +9 (3y– 2)cy 24. Jy² +2y+17

A: To evaluate the given integrals.

Q: 2 4z – 1+8 > 20

A:

Q: Let matices

A: Given that, I=1001 ; A=100-1 ; B=-1001 ; C=-100-1 G = {I, A, B, C} Let the binary operation defined…

Q: Simplify the radeal expression 6.

A:

Q: 1.If 10C0+11C1+12C2+...+15C5+16C6 = 17Ck+1 then k = _____.

A:

Q: i do not undertstand where the 8 has come from in q2c

A: Part c,            4log32-log34-2log33-log312

Q: The set of all positive multiples of v2 is countable.

A:

Q: 20-8*4÷3+2

A: To evaluate: 20-8×4÷3+2 Solution: We will BODMAS rule to simplify the expression.…

Q: The value of 5X-7 < 8 < 3X-13 is:

A: Given Information:  5x -7 &lt; 8 &gt; 3x -13

Q: 3x 2r is equal to O True O False

A:

Q: -13<3x-4< 2

A:

Q: EX T I || = ง - X

A:

Q: Given that, b=d-c, fnd an find an expression fisr c în terms' of b and a

A: Answer