. If x is an even integer, then x² is even. - If x is an odd integer, then x³ is odd. . If a is an odd integer, then a² +3a +5 is odd.

Q: If all variables in the expression 5/x10y – 4x/xy represent nonnegative real numbers, then which of…

A: Given,          The expression is 5x10y9-4xxy9 .

Q: If m and n are integers and m x n = 0, then what is true for the values of m and n?

A: If m and n are integers and m×n=0

Q: X7. We know that given any real numbers x1 and x2, if x1x2 = 0, then x1 = 0 or x2 = 0. Since there…

A: (b) given any real number x1 , x2 , x3 , x4 claim- if x1x2x3x4=0 then x1=0 , x2=0 , x3=0 , x4=0

Q: n 21. if an+1 = an an 2n + 3 n=1

A: We have, an+1=n2n+3an Substitute value of n=0,1,2,3,4,..... At n=0, a1=020+3a0a1=0 At n=1,…

Q: If m<1 = 6(3x+1)-2, m<2= 3(x+2)+9, and m<ABC= 5(3x+5)+6, find x and m<ABC.

A: Given,           ∠1=63x+1-2           ∠2=3x+2+9            ∠ABC=53x+5+6

Q: 6.) If x =3, what is the value of the following expression? 3x + 2

A:

Q: and B = . show that 3 -1 4] (A + B)² # A² + B² + 2AB If A =

A:

Q: Expand and simplify    (i) (2k − 3)(k − 2)

A:

Q: If then [10 7 3 4=[47] [ 2 A B = -6 A(5B) = and

A:

Q: 2. A pay phone at a railroad station charges $0.55 for the first five minutes (or part of) and $0.25…

A:

Q: a. 3.2F> Fn+1 for n23 [Solutions and final ans

A: We need to prove 2Fn&gt;Fn+1 Now, we have formula for fibonacci sequence is Fn=Fn-1+Fn-2

Q: Let a and b be two integers. Consider the following statement: If a+b= ab, then a and b must both be…

A:

Q: Show that V12 is irrational

A: A Rational Number is a number that can be written in terms of P/Q.  An irrational number can not be…

Q: If A A-1 = = 2 -6] 1-²-3 then

A:

Q: 2. |a + ib|= √a² + b² O True O false

A: This question is based on modulus of complex number.

Q: 1. (P16, Page 11,.. ) Use the Method of Proof by Contradiction to prove that 3 ¢ Q. You may use the…

A:

Q: If A - 3 1 determine A?- 2A +I 2

A:

Q: 16 = ? %3D

A: Given 16

Q: If 0 <0 < 2n and -12cos20-8 = -17, determine the values of 0

A:

Q: . Verify the formula п(n + 1) 2 for n = 10, 50, and 100.

A: ∑x=1nx = n(n+1)2To verify the formula for n = 10, 50 and 100.

Q: 8. If (3x- 5x + 5y– 2) is subtracted from (-2x² + x- I), what is the coefficient of x in the result?…

A:

Q: If  A= [ -2  -1  2 ]       [ 0    2   1 ]       [ -2   1  4 ] A2 = ?

A: We have given a matrix A.  We have to find the matrix A^2

Q: Compuie ite : Newton's.. divided diff erence tabble and hence Com pule Ine Raicis . for. ine…

A: Let       k 0 1 2 3 4      xk 2 3 6 7 9    fxk=fk 15 39 243 375 771 The 0th divided…

Q: X7. We know that given any real numbers x1 and x2, if x1X2 0, then x1 0 or x2 = 0. Since there are…

A: Given statement is P2 where P2: for any two given real numbers x1 and x2, if x1x2=0, then x1=0 or…

Q: prove the following statement.

A:

Q: Determine if the following are TRUE or FALSE: 2+4=6 and 1+2=4 implies 4 is odd. If 6 is odd then 7…

A: Let's find.

Q: In these expressions, p and q are positive whole numbers and r is a positive number less than 1. The…

A: p and q are positive whole number. r is a positive number less than 1.

Q: 2-2 Given the equation 2x-1 = -2, -2, which of the following statements is true?

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Q: The ages of Alex, Albert, and Aries are consecutive odd integers with Alex being the oldest and…

A: The solution is given below

Q: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…

Q: If the product of two integers is positive, their signs are . b. If the product of two integers is…

A: To solve the following problem

Q: Identify the expression of a for which the following equation holds for every positive integers n…

A: