What is the number of integer solutions to the equation X1 + x2 + x3 + x4 + x5 = 100 where x1 2 1, x2 2 3, x3 > 0, x4 2 0, . o () 100 O () O ()

Q: 1. 2x - 1 2x - 3 X x+1 2x + 1 2x² - x - 3 = 0

A: We can solve the given equation by using the cross multiplication method.

Q: 1 1 3 Зx+6 х?-4 X-2

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Q: Consider nonnegative integer solutions of the equation xi + x2 + x3 + x4 + x5 + æ6 = 30.

A: The non-negative integer equation is x1+x2+x3+x4+x5+x6=30Since ,xi-number varying from 0 to…

Q: 8. If (x - 2c)2 - 10(x- 2c) + 21 = 0, what is the value of x?

A: Given (x-2c)2-10(x-2c)+21=0Ans:We know that (a-b)2=a2+b2-2abLet x-2c=uu2-10u+21=0This is in the form…

Q: If 1² + 2² + 3² + ..... +2003² = (2003)(4007)(334) and (1)(2003) + (2)(2002) + (3)(2001) +…

A: The Value of x is 2005.

Q: You are given a real number N. How should you write it as a sum of two real numbers so that their…

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Q: a. x − 1 _ x² + 2x − 3 x2 x+2

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Q: 2+² = (16*-¹)(2)

A: The given equation .We have to find the value of that satisfies the equation.

Q: xả 5x = 24 x²5x24 = 0 a = 1 b = -5 c = -24 -5+ √(-5)² - 4(1)(-24) 2(1) -5 + √25 +96 2 −5+√121 2…

A: Solution is given below:

Q: Differentiate y O 1 4x +2 = x(x-1) (2x²(x + 1)) 3(x-1)²(x²+2x+1) 8x² + x 2 2 O3(x-1)² (3x²-1) 8(x² +…

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Q: What are the solutions to (3x + 1)(x + 8) = 0? O 1/3 and 8 O -1/3 and -8 O-3 and -8 O-1/3 and 8

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Q: Which of the following is equivalent to 3x²(-2x)e-x² + e-x²16x O -16xe-x²(x² - 1) O 16xe-x²(x² + 1)…

A: Given query is to simplify the expression.

Q: If Xo and X, are two numbers with Xo F(X1) O B. F(XO) = F(X1) O C. None of the above O D. F(X0) <…

A: It depends on the conditions; If F is a increasing function then option D is correct. If F is…

Q: (a) Find the number of digits between 4000 and 12000 inclusive that are divisible by 13 or 31. (b)…

A: The Least Common Multiple ( LCM ) is also referred to as the Lowest Common Multiple. For two…

Q: 2) f(x) x6x +8 10. + -10 -5 5 10 x -10

A: Note that the given function f is a parabola. In order to sketch the graph of f , compute its x…

Q: Solve the equation In (5x + 7)- In (x + 2) = In (2x + 2) - In 1

A:

Q: The number of non-negative integer solutions to the equation Y₁ + x3 + x4 + x5 + x6 = 7 is C(7+5-1,…

A: The given problem is to find the number of non negative integer solutions for the given equation by…

Q: Divide x+2 x²+3x-10 x²-2x-8 x+3

A: We know that the divided can change multiplication then numerator and denominator are change…

Q: The equation 2? + 6x – 20 = 0 has two solutions A and B where A < B and A = and B = Give your…

A: The standard form of the quadratic equation is: roots of the quadratic equation is given by:

Q: 4 ¹ / ( - 6x² + + 6 - ¹ √e) de dx x6 Find + C

A:

Q: How should x(-2) = x(-1) = 0 be used in the question. And it contradicts the expression obtained for…

A: The condition  is given in the question : x(-2 )=x(-1)=0.We have to find the solution with the…

Q: The number of X₁ + X2 + x3 + x4 + X5 + X6 = 12 is C(12+6-1, 12) = C(17, 12). True non-negative…

A: It is known that the number of non-negative integer solutions to the equation: x1+x2+x3+⋯+xn=k is…

Q: 21 84 = 1, where x and y are positive real numbers, find the smallest possible y of x + y. If + X…

A: Given   21x+84y=1

Q: If Xo and X, are two numbers with Xo < X, then the true one is

A: Answer:-  Option D is the correct answer.

Q: 5. Solve -2(x + 1)(x – 4)(x + 7)(2x – 5) < 0 using a factor table. Express your answer using…

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Q: the number of nonnegative integer solutions to (x₁ + x2 + x3 + x4 + X5) (X6 + X7 + x8 + x9 + x10) =…

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Q: If p = 4x³ + x² + 2x + 5 and          q = 6x³ + 3x² + x + 2  Find ||p||  and ||q||

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Q: Evaluate x²(x³ +9)¹/² dx 2 +9)³/2 +C Nia O (x² +9) ³/2 +C O C(x² +9)³/2 O x³ +9+C

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Q: Is a product of two positive decimals each less than 1 always less than each of the decimals?

A: To state the give statement is true or false.

Q: S(in 6x) dx x (In 6x)2 - 2x (In 6x) +c x (In 6x)2 - x (In 6x) + x + C <(In 6x)2 - 2x х (in 6x)2 + 2x…

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Q: 1. 2x - 1 2x - 3 X x + 1 2x + 1 2x² - x - 3 = 0

A: Given equation:- 2x-12x-3-xx+1-2x+12x2-x-3=0

Q: Which of the following is a factor of the cubic expression x'-2r -5x+6? (1) x+1 (3) x-3 (2) x-2 (4)…

A: (x-3) is the factor of given equation.

Q: 2.x2 + 2x + 9 dr J (x – 2)(x² + 4x + 9)

A:

Q: If Xo and X, are two numbers with Xo F(X1) d. F(XO)<F(X1)

A: We have to find the true option for question..

Q: In(4)=3x+1

A: Given :                       ln(4) = 3 x + 1

Q: Prove that 2 x-2x+5 2 x-4x+4 < 0 has no real solutions.

A: NOTE: Refresh your page if you can't see any equations..The value of f(x) is zero if the value of…