1. Choose THREE of the following expressions to expand and simplify: [ а. (3х - 4)2 b. (p+4)(p-5) c. -4k2(4k – 9)

Q: What is the product of the following? (x-5)2 O x2 – 10x + 25 O x2 + 10x + 25 O 22 – 25 O a2 + 25x –…

A: From the given problem: x-52 Now we can write as: x-52=x-5·x-5 Applying the distributive property:…

Q: 2. Determine the zeros and poles of the recursive equation below. y[n] = x[n − 1] − 2x[n - 2] + 2x[n…

A: Solution : Z transform of delayed function: Ƶ(x(n-a))=z-aX(z) Given equation is,…

Q: 1. Find the indicted term: an = (3n+ 2)²; a6

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Q: Find the fourth term in the expansion of (3x + 2y)7.

A: the given expression is (3x+2y)7.

Q: how was the annihlator 1/(D^2-a^2) found ?

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Q: a. The decimal 0.6 is the same as %. The Decimal Square for this decimal can be described as a OA.…

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Q: 7Vi +13V2 -168

A:

Q: expressions that are equivalent to 5x – 15 – 20x + 10

A: In this question, we find the equivalent form of the expression.

Q: What is the coefficient of the term containing x^7y in the expansion of (3x + y)^8?

A: Topic = Algebra

Q: Find the first three terms in the expansion. 1) (x+3y) 2) (x-2)

A: From the Binomial expansion, (a+b)n=C0nan+C1nan-1b+C2nan-2b2+⋯Cnnbn (1) If the expression is:…

Q: (-2)" (x+2)". n=1

A:

Q: Q4: Answer two only: 4 2 2 1 -1 1 (A): If A = -2 Find AB and AC. 01 0; 2 B = 2 -1 3 -2 -2 and 2 1 3…

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Q: 4 Find mLABE. E (x + 14)* (3x-8) to

A: Given that angle ABE = (3X - 8)° Angle EBD = (X + 14)° and angle DBC = 90°

Q: -8 6. 1 -4 3. -2R2+R1,-6R2+Rs 3. -3 -4 4

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Q: Q1. Add the following. [1] 3x2 + 2x + 5, 4x2 + 8x + 3.…

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Q: - dæ. (x² – 5)1/7 Compute

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Q: Find the first three terms from the expansion 1. (x+3y)^9 2. (x^2-5)^5

A: use the binomial theorem

Q: What is the 2nd term in the expansion of (3z-4y)9

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Q: 1. Find 7A + 6B. 1 -1 -2 A = 0 0 -3 B = 5 5 -7 1.

A: Given :A = 1-10-352B = -21540-7

Q: R(x) = -.722x3 + 19.23x2 - 161.2x + 421.8, where x = 6 corresponds to the year 2006.  (a) What was…

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Q: 8a + 12b + 4a – 6b?

A: 8a + 12b + 4a – 6b =8a+4a+12b-6b =(8+4)a + (12-6)b =12a+6b

Q: simplify 3n+1/n^2-1 - 1/n+1

A: 3n+1n2-1-1n+1 where 3n+1n2-1 is Ist term and 1n+1 is the IInd term.

Q: Suppose that Y - N(2.08,0²) with P(Y > 2.2)=0.274. Find ơ.

A: Here, Y is normally distributed with  Mean = 2.08  standard deviation = ? Given that  Probability…

Q: et, a1 = 3, a2 = 4 and for n > 3,an = 2an-1 + an-2 +n², express an in terms of n. %3D

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Q: Find the fifth term in the expansion of (2x + y)9.

A: We can use the binomial expansion formula to find the fifth term of the given expression. We have…

Q: Q1\ Differentiate the following 1)2xsin-13x

A:

Q: What is the coefficient of x'y5 in the expansion of (1x + 3y)18? 3,15

A: Use formula of binomial expansion to solve the question.

Q: The 4th term in the expansion of (2x -3x 10 is 10 C4 (2a) (-3x)³ O 10 C4 (2a2) (-32)4 10 C (2)…

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Q: -If w@z is equivalent to 3w-z, what is the value of (w@z)@z?

A: We have to use simple logics to solve the problem Please note: the answer provided by you seems…

Q: If expanded, how many terms will (3y3 + 6x3)5 have?

A: Given: 3y3+6x35.

Q: What is the coefficient of x5y7 in the expansion of (x+y)12?

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Q: 1) Simplify the following expressions : 15 а) 2z Зх — 7 b) ( 6x + 5)2 13х + 9 6х + 5 x2 + 4x x2- 14x…

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Q: what is the answer to 3a + 11a + 1

A: Adding, 3a and 11a, we get, 14a

Q: What is the coefficient of x^12.y^13 in expansion (x+yY 25

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Perform the indicated operation and express in lowest terms. 1) Sp - 6 2p2 9p - 9 A) 54p2 + 108p +…

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Q: Compute A−2 two different ways and show that the results are equal.

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Q: .Evaluate : 8 + C x* +4 8 +C 2 x +4 A. C. -2Tan + -- B. + 4mr +4+- В. 2 8 +C x + 4 8 + C 2 x +4 D. x…

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Q: . Find the mtenal of comergence of forg- t 1.3 13ナ-

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Q: x² + 6x – 1

A: We have to express  x2+6x-1 in the form (x-m)2+n.

Q: 2. Determine the next equation and verify the result. 3^2 – 1^2 = 2^3 6^2 - 3^2 = 3^3 10^2 – 6^2 =…

A: First, see the pattern. In the first column, the difference is increasing by 1 6-3=310-6=415-10=5 So…

Q: 2 + 5r +4 h(r) = 3r + 5 3r + 10r + 13 O A. h'(r) =- (3r + 5)2

A: The derivative is computed using quotient rule.

Q: Suppose an - 4аn-1 — 5ап-2 — 2ап з аnd a4 -21, a5 = 65, and ag = -165. Find a1, a2, and a3. a2 = az…

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Q: Perform the indicated operationsSubtract 7a to the 2nd power+8a-15 from the sum of 14a-5 and 7a to…

A: We are required to subtract 7a^2+8a-15 from sum of 14a-5 and 7a^2-8.First of all, we will find the…

Q: II. Perform the indicated operations. 3x°+6 1. 3y* 4y 8x°+16 х-4 2. y?-3x+2 x²-2x+1 x²+4x+4 12…

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Q: 8a+4=

A: Given : 8a+4=4+8a

Q: 2. Find A for Ac 3 4 4-3

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Q: -5х + 8у + 62 = 4 — 5x + (18 — к)зу+ 52 — 5ӕ + 8y + (5 — k)z = 6 = k+ 16

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Q: Find the expansion (2+3z+z^2)^5 and write the coefficient of z

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Q: 2. 2) 15a +24a 30

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.