V. Suppose that a and b are integers, a = 7 (mod 19), and b = 5 (mod 19). Find the integer c with 0 sc s 18 such that: 12. (а — b) %3с тоd 19 13. (7а + 3b) %3D с тоd 19 14. (2a? + 3b²) = c mod 19 15. (а3 + 4b3)%3D с тоd 19

Q: Divide. 7y6 – 14y* – 49y³ – 1 7y? 4a3 – a? - (-4a³) a?

A:

Q: Say whether the following is true or false and support your answer by a proof.…

A:

Q: Determine the coefficient of at in (1 – 4a²)ó by completing the following given steps.

A: Concept:

Q: Determine the values of x, if any, at which the function is discontinuous. At each number where f is…

A:

Q: 3. (25-¹) + (25-²) (6250)+(25-2) द (A) 26 (B) (C) 225 26 115 (D) 0 D ||

A: To evaluate the following expression.

Q: 3.9b + a3 + 27 - 3a2 + 5a3 - 2a2 + 2.1b + 7

A:

Q: If x2 + 9x + 14 х2 — 49 is divided by Зх + 6 x2 + x – 56 , the quotient is:

A:

Q: 8. What is the quotient of (4/80x5) + (/5x) B. 16x А. 8х C. 4/16x4) D. 16x) 10. Which of the…

A:

Q: Given that a = (-1, 3), b = (-4, -3), and c = (-1, 5), find the number. %3D (a) a (b + c) (b) a ·b +…

A:

Q: Solve 65x ≡ 2(mod243) by inverse method

A: Given, 65x≡2mod 243 Here gcd65,243=1 Now find the inverse of 65 mod 243.…

Q: ? Simplify √81-√-405. O9-811√5 O 9+81i√5 9-91√5 O 9+9i√5

A:

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: Find 330 + 440 + 660 (mod 7). (a) 1 (b) 2 (c) (d)

A:

Q: _1. V3 • V1Z _2. V27 • V8 3. VZ • V7 _6. V8÷ vZ 7. V24 + V2 _8. V10 + V7 3 2 4. 3 3 9. 25 9. 5. V7…

A: Given :           Radical expressions    An expression is considered simplified only if there is no…

Q: 1) Simplify the following expressions : 15 а) 2z Зх — 7 b) ( 6x + 5)2 13х + 9 6х + 5 x2 + 4x x2- 14x…

A:

Q: Advanced Math Question

A: Consider the homogeneous system Ax=0 Rank-Nullity Theorem States that For any matrix A,…

Q: * Q1 X1 +x2] 3 X1 4 X2 If 3 [x3 X4] [x3 + X4 1. x1 = -2, x2 = 2, x3 = -2, x4 = -3. 2. x1 = 2, x2…

A: We will perform the addition and scalar multiplication of matrices on both the sides. Then we will…

Q: For this problem, you need the total, n, of the sum of all digits in your student ID. For example,…

A: We have n=(2+0+4+6+9+4+3+4)=32. We will find the number of solutions S   to the equation…

Q: If [5 - -8 A = [611] 0 " then A- 1 =

A: The objective of the question is to find the value of 'A - 1' given the equation '5 - -8A = 611'.

Q: (x4 — 7х3 + 9х — 10) + (х — 2)

A: Given,  x4-7x3+9x-10x-2  We have to evaluate it.

Q: 6 4 3 5 9 7 10 ^ - :: ³ - 1 - - [H] A = 1 3 C B 6 4 2 0 8 11 5 2 if D=C-A, then the element d13 is:…

A:

Q: O d. 3 34 9x + 3 Which of the following expressions does not represent the sum: Select one: O a. 2k…

A:

Q: 8. Which of the following has no solution? A. -Vx =5 B. = 5 c. -Vx =-5 D. -3/x =-15 9. What is the…

A: Solution:GivenTo solve the following:Formula:(a-b)2=a2-2ab+b2

Q: 6. Solve for x. a) x- 5 = 7 b) 2(x+ 1) = 10 c) 5x – 8 = 2x + 3 d) -5x + 1 = 3x + 2 e) 8 = 4x – 4 f)…

A: Note:- according to the company policy we can attempt ?️ only three subpart of a question so please…

Q: Show that (6+c) ba са (c+a) cb =2abc(a+b+c) ab 3 (a+b) ас bc

A:

Q: For each positive integer n, define an = ((2+√3)" + (2-√3)") 2 It is known that an is a positive…

A: