8. If m X x is a negative integer, then which of the following must be true? I. -m - x is a negative integer II. m – x is a negative integer III. -(mx) is a negative integer IV. (-m)(-x) is a negative integer V. L is a negative integer m (A) I and III (B) I, III, IV (C) I, IV (E) I and V (D) IV

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: 8. Find the first four terms of (2a - 1)¹0. What is the coefficient of a³?

A:

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: Set B (x+7)(x-3) 20 20 x+6 x+7 <0 x-5 x+3 20 x-10 1. x-1 x+3 3. 2.

A:

Q: -3 1 -3 If A = -2 4 and B = 0. -2 then what is 3A - 2B ? %3D -1 -2 4

A:

Q: Which of the following is not a real number? (1) (6 + 2i)(6 – 2i) (2) (–2i)12 (3) (3 + 4i)(-4i) (4)…

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: Q1 (b): If Xi= 1,3,5,7,9,11 and Yi= 0,2,4,6,8,10. The values of the :following term is i=n 2n – 3…

A: Given,∑i=1i=n2n-3πyi-11+xii-1here n=6

Q: (a) Prove that (-1+iv3)" + (-1– iv3)" has either the value 2"+1 or the value –2" if n is any integer…

A:

Q: 4 (ii) 16 | at + 15.

A: Step-1 1)16|a4+15

Q: -7 -9 -6 0 0 5 8 4 05-3 -4 -6 0 ][ 00 6 =

A:

Q: Example 14. X of 20 terms was found to be 35. But afterwards it was detected that two terms 42 and…

A:

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

A:

Q: 9. -2r - 7 >1 or x-2 2-1

A: we nee to solve the inequality -2x-7&gt;1    or    x-2≥-1

Q: 7.) Which expressions have a positive product? Select all that apply. (-6)(-3)(-2) -(-4) (3) (-3)…

A:

Q: 3. If the expression was placed in the form ax where a and b are real numbers, then which of the 2x…

A:

Q: 2 5 A ^^ - [ ²7 ] and -7 6 Given : Find the following 1. (24)¹ 2. (AB)-¹ 3. (4¹) ¹ B 7 -[? -37] 2 0

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: 1. Which of the following expressions is equal to d? (i) i– i?+i3 – it +... (ii) 8 – +- +... (iii)…

A: The Expression in (i)  is in i and can not be reduced to d  Similarly the expression in (ii) is in δ…

Q: Find the Domain of 1, if f(=) 0(s-6) %3D O Domain: y is all real numbers O Domain: y N0 O Domain: NO…

A: Given f(x)=6(x-6)2 To find f-1, assume y=f(x) then swap variables to find f-1

Q: 5 (-1)* k + 2 (-1)* The following equation is correct: k + 1 k=0 Select one a. False b. True

A: Given,

Q: The following statement is true. V nonzero number x, 3 a real number y such that xy = 1. For each x…

A:

Q: Write out expressions for (i) (ii) "P. (iii) (iv) 20P,

A:

Q: 10. Let a = (1,-1,2), b = (2,0,−1), and = (3,-2,0). Evaluate or explain why the expression is…

A: The vectors:

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

A:

Q: Select all expressions that are equal to (v2)5 А: 5 B: 1 V25 С: 1 32 D: -(v2)5 E: 5 -27 F:

A: The given expression is 125. To find the equivalent expression in the given option. Properties of…

Q: 2 4. Express 989 = 23 43 in the form x² + xy + 5y².

A: The given number is 989. The objective is to express the given number in the form of x2+xy+5y2.

Q: 3. Show that all integers n ≥ 2 can be expressed as 2x + 3y for some nonnegative integers r and y.

A: Mathematical induction is a proof technique used in mathematics to establish the truth of a…

Q: 2. 86-=Z-

A: Given equation: -2x2=-98 Divide both side by -2 -2x2-2=-98-2x2=49

Q: x2- 11x+24 For all x 8, = ? ? 8-X 8-X 3-x X - 3 X-8 K X - 11

A:

Q: Show that the operation * on Q – {1}, defined by a * b = a + b – ab for all a, beQ- {1} satisfies…

A:

Q: all n N we have We apply this successively for n = bn+1 bn N, N+1, n 9 bN+1 < (m + €)bN bN+2 < (m+…

A:

Q: Simplify 17. (n+ild (n-1)! 18. (3n+1)! (an)!

A: For expression 17:(n+1)⋅n For expression 18:3n+1Explanation:For expression 17:(n−1)!(n+1)!​We can…

Q: If a, b, c are non-zero real numbers, then bc ca ab ca ab bc vanishes, when ab bc ca ca 1.1 -+- 0…

A:

Q: 4.) Liam earns $16 for every hour he works, If he works for more than 8 hours on a given day, he…

A:

Q: I need help

A: To find:∫013481-u221+u23du

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.