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swat32
3 years ago
15

Use the Binomial Theorem to find the indicated coefficient or term.

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
8 0

Answer:

ans: coefficient of 3rd term is 60

3rd term is 60x

Step-by-step explanation:

(5x +2)³ = C(3,2) × (5x)^(3-2) × 2²

= 3 × 5 × 4 × x

= 60x

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Read 2 more answers
For this exercise assume that all matrices are ntimesn. Each part of this exercise is an implication of the form​ "If "statement
inna [77]

Answer:

C. True; by the Invertible Matrix Theorem if the equation Ax=0 has only the trivial solution, then the matrix is invertible. Thus, A must also be row equivalent to the n x n identity matrix.

Step-by-step explanation:

The Invertible matrix Theorem is a Theorem which gives a list of equivalent conditions for an n X n matrix to have an inverse. For the sake of this question, we would look at only the conditions needed to answer the question.

  • There is an n×n matrix C such that CA=I_n.
  • There is an n×n matrix D such that AD=I_n.
  • The equation Ax=0 has only the trivial solution x=0.
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  • For each column vector b in R^n, the equation Ax=b has a unique solution.
  • The columns of A span R^n.

Therefore the statement:

If there is an n X n matrix D such that AD=​I, then there is also an n X n matrix C such that CA = I is true by the conditions for invertibility of matrix:

  • The equation Ax=0 has only the trivial solution x=0.
  • A is row-equivalent to the n×n identity matrix I_n.

The correct option is C.

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3 years ago
The school council vote on the 2 candidates to become the student council president, they never votes for candidate, one was 523
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Step-by-step explanation:

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