The conjugate of (a-b) is (a+b) given that a² - b² = (a-b)(a+b) a. True  b. False

Q: conjugate of v-1-3 is 1- V-1+3 2- -V-1-3 -V-1+ 3 3 - V-1 2- 4-

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Q: My question is The product of two integers will have the same sign as the quotient of the two…

A: The given statement is true always ,becauseLet take two numbers x and yCase I x and y both are…

Q: What is the coefficeint of a²b³cª in the expansion of (a + 2b + 3c)® ?

A: In the given question we have to find the coefficient of  a2b3c4 in expansion of a+2b+3c9

Q: Explain how you can prove this congruency statement using ASA and AAS

A: Given conditions -OR≅REAO∥EMFor ASA -In ∆ROA and ∆REM,∠ARO ≅ ∠ERM                     Vertically…

Q: o use divisibility in this problem but i am not sure where to start. Prove or disprove (with a…

A: Introduction: If a and b are integers, a divides b if c is an integer and ac = b. The symbol a|b…

Q: Is the statement true or false? If an odd number is less than 15, then it is prime. False Give a…

A: We have to check

Q: Rationalize the denomi 20 5/10 - 7/5

A: 20510-75

Q: give 4 real life examples of bijection

A: A function f: A to B is said to be bijective if it is  both one to one  and onto. A function f: A to…

Q: 1) Use the chain rulc to find the deriva five of fcx) = 4(-3x6+7x5)7 You do not necd to expand…

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Q: symmetri

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Q: Assume that y represents a positive real number. What is the conjugate of Vy - 24?

A: y-24

Q: Differentiate 2xー4x -

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Q: Number 3^32 -1 has exactly two divisors greater than 75 and less than 85. What is their product?

A: Use the exponential property, abc=abc to simplify the given expression. It is known that an-bn is…

Q: use Row opartioms Protic 5. 2 A= 2-1

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Q: The conjugate of 7/2 + 5 is

A: The complex conjugate of an imaginary number is the number with same magnitude and same real part,…

Q: 6. Give a recursive definition for the set POWERS-OF-TWO = {1 2 4 8 16 ....} and use your definition…

A: A recursive definition of a set is an equation that expresses eachelements of a sequence as a…

Q: thestan 741467Riscontivndr funChion then feRCane] Does the Converies of theoremexstlwhy?

A: The converse of the theorem " If f: [a, b] → R is continuous function on  [a, b] then f is Riemann…

Q: 9. Use fix) = 3-4 and gix)-5-2' to evaluate the expressions in simplitied form: * (g )

A: We have the given functions as f(x)=3x-4g(x)=5-2x3   We have to find (a) f∘g(x) (b) g∘f(x)

Q: Illustrate the replection principle with the helpp of example.

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Q: Show that Rsta is Hausdorff.

A: Note that a topological space X,I is said to be Hausdorff if (and only if) for every distinct points…

Q: со conjugates. CS.

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Q: Explain why it's possible that (UTV)" = v™U. Base your answer on the dimensions of the products. %3D…

A: We are entitled to solve only one question at a time, so I am providing you the solution of first…

Q: What is the difference in notahin befween matnx multiplichin and Fensor multiplicahin of two kensors…

A: If x, y are vectors of length m and n, respectively, their tensor product x⊗y is defined as the m×n…

Q: Explain recursion relation.

A: A recurrence relation is an equation that recursively defines a sequence where the next term is a…

Q: Prove that if 8x-5=-2x-15 then -x=1

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Q: What is Googol?

A: Googol is a number 10100.

Q: How do we know that -1 and -2 will be in the field?

A: Given F is field, So,  0, 1∈F ( since a field F must contain zero element and unity ) A field is…

Q: Hey, Kindly prove this with justification of every step. like in two columns. •statement        |…

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Q: How a single interpretation is possible for μ1 – μ2?

A: The parameter of interest is the difference in population means, μ1 - μ2. Where, μ1 and μ2 are the…

Q: What is 5^22 congruent to? Please show steps.

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Q: Could you explain how to show 7.8 in detail? I also included lists of definitions and theorems in…

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Q: divisible by 3

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Q: What is the difference between the principle of mathematical induction structure and the principle…

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Q: If A #8 then

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Q: Express in the form a+ bi. -21

A: Our Aim is to express 51+2i-(i) in the form a+bi

Q: Use a direct proof to show that the product of two odd numbers is odd.

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Q: Determine a closed form expression for Enxh n>0

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Q: Use different ways to show all possible combination in this situations

A: Here use different ways of representing a total possibilities Here use listing , table, and tree and…

Q: Find the product of - 10 - 6i and its conjugate. Question Help: DPost to forum

A: Given -10-6i

Q: -36618)-5/-345 31-し -3+5 3/2)-5/2 )" -3(2xar2) -5(axaxa -3(8)-5(8) -24+-40 -64

A: To solve

Q: Give the conjugate of - 5

A: The conjugate of a+ib is given by a-ib. Here, a= -5 and b = 0. So, conjugate of -5 is -5.

Q: Number 332 – 1 has exactly two divisors greater than 75 and less than 85. What is their product?

A: We need to find two divisors of 332-1 between 75 and 85.  Now, we can use the identity a2-b2=a-ba+b…

Q: The conjugate of the binomial a +b is _______.

A: Given:The conjugate of the binomial a+b is______

Q: The set of real numbers, R, is closed under multiplication. What does "closed under multiplication"…

A: Given: Tthe set of real numbers,R , is closed under multiplication. We have to explain the meaning…

Q: ( - 2ry + 6z) dz - (2 - 2ry + 2) dy

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Q: Use a combinatorial argument to show that n 1 2 - 2 3 2 2

A: To use combinatorial argument to prove whether the given statement is correct or incorrect. The…

Q: 2. What is the common difference in this recursive definition? An-1 +? %3D /8

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Q: Can you please show me how to write Z12?  From the image, how did we get [8]12 = [20]12 .... rest…

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Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.