Translate the following into the language of congruence.  A) When e is even, then  leaves a remainder of 1 when divided by 11  B) the linear Diophantine equation 11x + 13y = 1 has a solution. (many translations are possible) C) If x is a multiple of 2 and of 3, then x is a multiple of 6.

Q: 4. Solve. A) 3 ()² − 7 (¹) + 4 = 0

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: NAME: 33. Exercise 18 Use the method of climination to solve. Sx+6y-37 1. 2x-3y-4 Av-2y-10 2x+Sy-13…

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Q: Solve. (If there is no Solution, enter No Solotion. Enter your answers as a comma Separated list)…

A: given equation

Q: Solve the following equation. √2+78+√√2-2 = 10 Z= commas.) (If there is more than one solution,…

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Q: 6. Expand and simplify each of the following algebraic expressions. c) 4x(x-3y)2 d) (3x - [6+3x -…

A: Given that: (c)4x(x-3y)2 (d)(3x-[6+3x-(4x+1)+2])

Q: use Property 6.1 to help solve each quadratic equation. x2 = -49

A: To solve the equation: x2=-49 Solution: We know that if x2=a then x=±a. Using above property the…

Q: The quadratic form Q = x' – 4xz + 6y? + 422 is:

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Q: If z=1+/ then the value of the expression 24 -473+7z2 -6z+3 is OA -1- O B. 1- O D.-2- OE -5

A: We have to evaluate the value of the expression.   Given z=1+i

Q: If ax + by +c=0, and b # 0, then y =-ax – —ах— с/Ь %3| O True O False

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Q: 6. Find the solution to the equation shown below. Show the steps that lead to your final answer…

A: We have to find the solution of the given equation.     According to our guidelines we can solve…

Q: Given that 21xx2 + 4 dx = 35/5 - 56, what is 21uvu? %3D 4 du?

A: Given integral and it's value - ∫0121xx2+4 dx = 355-56         ...................(1)We need to find…

Q: The expression equivalent to 3/x³y is ... A в C D 1 хуз X3 √y 3 ³√xy 41 хз уз

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Q: If A = 2ī + 3√ and B = i +2j, what is A + B? 047 +47 i Ⓒ5i +37 57 3i+57

A: A= 2i+3jB = i+2j

Q: When ax' – x* + 3x + b is divided by x – 2, the remainder is 59. When it is divided by x + 1, the…

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Q: 9). Find and explain the errors in the following problem- then solve it correctly: X-7 = √9 (x-7)²…

A: Given:

Q: V48-12 2) When is simplified, the equivalent simplified expression can be written in the form 6.…

A: Given:- (√48 - 12)/6  To find:- Equivalent simplified expression in the form of (a√b -c)/d then find…

Q: Since T = 1 2x and = x + 2x2, we can substitute algebraic expressions into the equation found in the…

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Q: use Property 6.1 to help solve each quadratic equation. 3(x + 7)2 + 4 = 79

A: Given property 6.1,  For any real number a, x2=a if and only if x=a or x=-a

Q: 2x-4 16x-2 15x+3 U R x+5 Find mLZ Find mZV W. V U. 5х -6 6x +9 4x+2 4+7x S. T Find RS Зх- 12 R. X+12

A: TSRQ is a parallelogram, so, (i) the sum of its adjacent angles is 180° &, (ii) its opposite…

Q: Let Describe all solutions of Ax x = x2 0. +x3 A = 1 2 4 -4 -8 8 +x4

A: Given Data: Let us consider the given data, A=12-4424-88 To Find : The solution of Ax=0.

Q: 1. Solve for x If there are multiple solutions, separate them with commas. If the two solutions are…

A: Given the equation.

Q: 3) Simplify the following algebraic expressions: a) 3-2[x - 3(y - 2x)] + 4

A: This is question of algebraHere equation are given We have to simplify that.Further calculation is…

Q: Complete the following... d) Given 2(x−4)(x+5)−(x+1)2 =ax2+bx + c . Determine the values of a and…

A: D)  2(x−4)(x+5)−(x+1)2 =ax2+bx + c .     2(x2+5x-4x-20) -(x2+1+2x) =ax2+bx + c .     2(x2+x-20)…

Q: 4n +2 2n² + 16n + 30 (6 18n + 9n 4n + 12

A: If multiple questions are posted we are allowed to solve only 1st question... for second you should…