9(x + 6) - 41 = 75 Prove x - 62/9)

Q: 6. What should be added from 2x +3x` -- x² -1, so that it becomes exactly divisible by (x-2)?

A:

Q: Compute √27 using once False Position method with x₁ = 1 and x = 2. A 1,69 B 1,84 1,93 1,78

A: We have to compute 275 using the method of False position once where xl=1 and xu=2

Q: n be a positive natural nun (an)" is equivalent to: 4n Let a) n²n (n²-4n) b) n(n²^_^) d) na^ (^^-2^)…

A: Given, n4n-(2n)2n

Q: 1. Simplify the following expressions: a) (x– 1)(x+ 2) b) (х- 10) - (х — 2) c) 4(x – 1)(x+ 1) + 2(x…

A: topic - simplification

Q: Proved Ax (BNC) = (AX B)n (AXC) %3D

A:

Q: 8) 58(x-1) = 6252x-2

A: 58(x-1)=625(2x-2)

Q: 48. -1 12 cos 2 tan-1 210

A: Topic - trigonometric identities We are given: cos2tan-1125Formulas requiredcos(2θ)=1-tan2θ1+tan2θ

Q: 37x = 101 (mod 151)

A:

Q: Prove (kindly provide reason/s) that for any real numbers m and n, (-m ) + ( - n ) = - ( m + n)

A:

Q: 8(5-2)

A: We have to solve for z 8(5-z)/7=-z Now solve the equalities 8(5-z)/7=-z 8(5-z)=-7z 40-8z=-7z…

Q: 19) (x +2)4 – )2 +4 = 0 5(x+2,

A: (x+2)4-4(x+2)2-(x+2)2+4=0 (x+2)2((x+2)2-4)-((x+2)2-4)=0 (x+2)2=1,(x+2)2=4 x+2=+-1,x+2=+-2…

Q: 4.) T(:) = + 2x-] relate to the baseB, = {H(},and B,,

A:

Q: dx is 2(1 – x²)7 +c is it : V1-x2 a)True b)false

A:

Q: If a and b are integers with gcd(a, b) = d Then gcd d' = -1 d/

A: Given a statement

Q: x८७)+ 1) dtx + ५ N25+।-6436

A:

Q: 13. Express 5 ‹(²) ³ 3 (*√81) ³ as a single power with a base of 9.

A:

Q: For 7-10 Given a_1= 3, a_2= 7 and a_n= [2a] _(n-1) + a_(n-2) for n 23, 7) Find a_3 =,* Your answer…

A: First Question: (7) Given a1 = 3 , a2 = 7 and  an = 2an-1+an-2 then a3 = 2a2+a1 = 2*7+3 = 17 Hence…

Q: E(n? – vē -n + In *) = = 500 500(501)(1001)] 500(501) + 1000 - In False B) True 6.

A: Let's learn few properties of summation.

Q: Prove the following using a direct proof.  If a,b, and c are integers such that b is a multiple of…

A:

Q: Which of the following gives the Binet form of the nth Fibonacci number? O Fn = Fn = Fn = Fn =…

A:

Q: Write Dual: minZ= 40x, +120x s.t *1+4x2= 4 2x +3x225 Xg.X20. C=40 120]

A: follow second step

Q: 28000 +38000 + 48000 + 58000 + 68000 Prove that 1 8000 is a multiple of 13 using Fermat's Little…

A: Given that                                 we have to prove that it is multiple of 13 by using…

Q: While proving (a*2(2a+1 is an integer for the case a = 6q +1 which of the following will be obtained…

A: We are given with a(a+1)(2a+1)6 We need to substitute a=6q+1

Q: In x2 10) + In (9) = In (10)

A: Definition used-             ln(x)+ln(y)=ln(xy)

Q: (ABI6 · Di6)- (11001,– 101,)+ (7g · C16) = N0 -10)-(– -10) =. -10×, -10--10) + -10

A:

Q: 20) (x² – 3x – 28) ÷ (x + 5) 8 A) x-8+ x + 5 12 B) x-8 + x + 5 2 C) x – 8 – x + 5 11 D) x- 8+ - x +5

A:

Q: x+(x+1)+(x+2)+(x+3)+(x+4)=5x+10 What does this prove about the sum of these natural numbers?

A: The sum of the given equation is calculated as follows.

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: 9) 2xy2 - (2xy)2 h) b?(b³)² +3b*(b²)2 – (b² - 2b)²b² (4x³y²z}* i)

A: We have to simplify the given expressions.

Q: Not sure how to start problem

A: