. 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 a and b are integers, then a/b is always a rational number. True False

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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: Show that the square of any positive Integer is of the form 3m or 3m+1 for some integer m

A:

Q: 1 which of the following is equivalent to 2x-4 O B. -4x²+6x + 5 0 4x²-6x-5 >0 E. 4-2x

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Q: Analyze the following "proof" and determine if there is anything incorrect and why. Claim. Suppose m…

A:

Q: Evaluate. 5. 1)? X(X dx 1 5. 2. x(x² 1)2 (Type an exact answer.) I3D

A:

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

A: Solution

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

A:

Q: antip . Prove that 4" -3"-7 is a multiple of 84 for each positive even m.

A:

Q: Show that if n is any integer, then 3 divides n3 − n

A: To prove:  if n is any integer, then 3 divides n3 − n. Concept used: Here we shall use the identity:…

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

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

Q: . Homework. Let a and b be integers. If 7 | (17a +256), prove that 7 | (10a+11b).

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Q: Given any real numbers a and d, consider the expression (a + md) + (a + (m + 1)d) + (a + (m + 2)d) +…

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: 上耳 7. 2 2 J ancd Re, .3 4 . 3 find p+Rt[tP+P}+R]+ [P+ (@+R}]reR

A: Given P=2316, Q=1234 and R=1231 1) Q+R=1234+1231         =1+12+23+34+1         =1465 2)…

Q: 5. -7 | = x(3x + 8). 5x + 1 true false O

A:

Q: If A=-1 4 -3 -7/ -1 and A¹=/? ? (22 a ? What is the value of the element a? Give your answer…

A:

Q: Fix an integer . Prove that the equation xn+xn-1+...+x-1=0 has a unique positive solution.

A: We have to prove that the equation xn+xn-1+...+x-1=0 has a unique positive solution. Explanation:…

Q: Simplity. Assume all exponents are positive integers. 35n 45x² 2. 35n² 25x 1. 4. p²-3p-54 p-9 5.…

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

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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: 3x +2y = 5 - 6x - 4y = 5 O B. (1.5, -1) O C. (-1.5, -1) O D. There are infinitely many solutions. O…

A:

Q: What is the possible value of (ꟾ -X ꟾ - X2) if (ꟾ -2X + 9ꟾ = 3)? a. -42 b. 42 c. 30 d. -30 e. None…

A: Topic:- basic algebra

Q: V-12 V-40 V-72

A:

Q: If ả = (–4, −8) and ☎ = (–2, −6), find |2.5ả – 36|. O 20 O 2√5 O-6 O 4√2

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Q: If then A-1 - # 用 A = 1 5 -4 -9 0 0 1 4 -2 0 0 1 0 3 1 , 田

A: By Gauss-Jordan elimination: Let A=IA…

Q: 18. Which of the following expressions is equivalent to (5x - 4y) (3x – 2y)? Select all that are…

A:

Q: Find |B| B= [5  0]      [0 -4]

A: Given, B =500-4|B|=?

Q: prove the following statement.

A:

Q: 5 -1 2 Let D = Find -4D. | 0 -6 7 -4D = %3D

A:

Q: Let a be a real number. For 1 A = 2 - fınd A² . a -2 – 2a 4 + 4a 2a? – 4 -2 | - None of the others…

A: First option is correct. See the attachment.

Q: -14 Solve for X. -1-8 -7-6 X OOA 61 X+ -1-1 3 -7 X =

A: Step 1: Step 2: Step 3: Step 4:

Q: 10. Which of the following are roots of x3- 3x²– 45x-81? -3 and 9 -4 and 8 -2 and -1 -1 and 9

A: Simplification