7. . Prove that if n = 4k +3 (for some integer k), then 8|(n² – 1). Proof: Let n = 4k + 3 (for some integer k). We want to show 8|(n² – 1). (Now finish the proof.)

Q: Solve 84 = 5p2 - 13p

A: Solve the given equation  84=5p²-13p.

Q: Determine the number of non-negative integer solutions of

A:

Q: 8m = 64

A: Here given that

Q: The product of 4 and n is -48

A: The product of 4 and n is -48

Q: Solve  5x =-5 3

A: Solve  5x =-5 3

Q: Solve ex3+5 =13

A: We have to given x3+5=13

Q: d cubed minus the product of 8 and p plus 9

A: We will express this statement with mathematical notation.

Q: Solve tle eepuet ion 5+12-2x =+

A:

Q: 6. Solve 6*+³ – 6* = 215

A: 6. To solve: 6x+3-6x=215

Q: Please solve (b)

A: Given

Q: Solve: %3D O n=6 O n=9 O n=78 O n=12 619

A: Equation

Q: 30x + 25 = 85

A: The given equation is 30x + 25 = 85.

Q: x+9= 12 %3D

A: Given: x+9=12

Q: Find the remainder when 21000 is divided by 23.

A: Since 2 is co-prime to 23, thus by Euler's theorem,       2φ(23) ≡ 1 (mod 23)      => 222 ≡ 1…

Q: find the remainder when the 2022-digit number all of whose digits are equal to 7 is divided by 8

A:

Q: – 15 = 4m + 5

A: the solution are next step.....

Q: 3x=27

A: Our objective is to find x.

Q: T. 2.x+ 15 U x+15 Work & answer:

A: Ise the equal opposite sides property for parallelogram.

Q: 5x=15

A:

Q: Divide (3x²+ 2. + 24 +17 Quotient REMAInder

A: To find quotient and remainder.

Q: Solve the equations n-1 27

A: To solve the given equation.

Q: solve for k 7k+8+90+40=180

A: Solution:

Q: 12x=200

A: Given: The equation 12x=200. To find: The value of x.

Q: Solve the equationh + 1296 =0

A: solution.

Q: 32* =(1a5)** solve for 128

A:

Q: Solve X+3 12

A:

Q: 54. P = 21 + 2w: solve for l

A: Given P = 2l +2wHere we solve for l

Q: 2m + 8 = 56

A: We have to find m

Q: to 79 173

A: