Prove that n(n² + 5) is divisible by 3 for any integer n ≥ 0.

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Q: 2c

A: The answer has been provided.Explanation:

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Q: 22.8 Question 9 10 pts Yesenia purchased a car for $15,470. She obtained a term loan at an interest…

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Q: 5 Decide the dependence or independence of (a) the vectors (1, 3, 2) and (2, 1, 3) and (3,2,1) (b)…

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A: det(M) =3 Explanation:Step 1:

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A: Answer: (d) {p ∈ R[x] | p(1) = p(0) }Explanation:To determine which subset is not closed under…

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A: The given matrix

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Q: Step 2 Simplify the denominator. 8,3 1514 4r 4r 2512 2512

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Q: Find a polynomial P(x) with real coefficients having a degree 4, leading coefficient 3, and zeros…

A: To find a polynomial  with real coefficients having a degree 4, leading coefficient 3,and zeros .

Q: 4. It is given that the square of the difference of the roots of the quadratic equation x² + px + 10…

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Q: parents wish to have $150,000 available for a childs education. if the child is now 5 years old, how…

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Q: Find the vector v with the given length and the same direction as u. ||v|| = 7, u = (1, 1)

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Q: 5 Decide the dependence or independence of (a) the vectors (1, 3, 2) and (2, 1, 3) and (3,2,1) (b)…

A: The objective of this question is to determine whether the given sets of vectors are dependent or…

Q: f(x) = 2x(x+5) (x+3)(x+12)

A:

Q: The set of all continuous real-valued functions defined on a closed interval [a, b] in R is denoted…

A: FINAL ANSWER: I have provided all the answers in the below steps.  Thank You.Explanation:STEP−1…

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Q: (3 marks) Let r Є R and u = v ■- (2) - (+) w- () (+), -4 " W = For which values r = R is the set {u,…

A: The vectors are linearly independent for all r except 1. Explanation:

Q: what is  The slope of the line between the two points.  (−4, 2); (4, −1)

A: From the provided information,The two points are (−4, 2); (4, −1).

Q: O Week 2: Systems of Linear Equations Graphing a linear inequality in the plane: Slope-intercept…

A: Shaded region is in the graph Explanation:

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A: Solution is attached Explanation:Step 1: Step 2: Step 3: Step 4:

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Q: Let f(x)=2x²-x. Find f(x + 1) − f(x). f(x + 1) − f(x) = ☐ (Simplify your answer. Do not factor.)

A: Answer: -2x2 + 2x + 1Explanation:

Q: Sequence Please help me to solve 1 b) c) and 2 b) c). Thanks

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Q: Question 5. Please solve this and show work, thanks.

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Q: 2. Solve for x. a) 9x+2 = 1 27 b) 82x+2 = 162-2 x+4 ©) (4) *** = (4) **³ x+3 d) 4(2x) = 256

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A: Given  permutation is: a=(12)(345)Objective :Find the order of a: O(a)

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