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Mamont248 [21]
3 years ago
14

Factor a number, variable, or expression out of the trinomal shown below

Mathematics
1 answer:
monitta3 years ago
3 0
Ok, to start, let's look at the terms given in this trinomial: 6x^2, -12x, and 9.
Now, let's try to find the greatest common factor of the three terms, which would be 3. One way to do this would be to take each term and break it down using prime factorization, which would look like this: 
6x^2= 2*3*x*x
-12x= -1*3*2*2*x
9= 3*3

When you look at the numbers when they are broken down, they all seem to share one factor, which is 3. This would be the greatest common factor you would factor out of the trinomial, and when you do so it should look like this

3(2x^2-4x+3) which would be your answer


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Suppose that P(n) is a propositional function. Determine for which improper subset of the domain of n the statement P(n) must be
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Answer:

a) P(n) is true for all 'n' in the set ; { 0,2,4,6,8 ….. }

b) P(n) is true for all 'n' in the set ; { 0,1,2,3,4,5 ............ }

Step-by-step explanation:

a) As P(0) is true

we will assume that

  • P(2) is true
  • P(4) is true
  • P(6) is true

this simply means  that ;  P(n) is true for all 'n' in the set

{ 0,2,4,6,8 ….. }

b) since P(0) and P(1) are true

we will assume that

  • P( 0+2 ) = P(2)  is true

also P(1) and P(2) are true

we will assume that

  • P(1+2) = P(3)  is true

Also from the previous answers it can be seen that P(2) + P(3) is true

we will assume

  • P(2+2) = P(4)  is true

This simply means that P(n) is true for all 'n' in the set

{ 0,1,2,3,4,5 ............ }

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2 years ago
Write an equivalent expression by distributing the "-−" sign outside the parentheses: 10m-(3.3n+1.8)
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2 years ago
What is the 32nd term of 311, 305, 299
nata0808 [166]

Answer:

503

Step-by-step explanation:

For an arithmetic sequence, the n-th term is found by

a_n = a_1 + (n - 1)d

To find d (the common difference) we can simply subtract one of the terms by the last, for example:

d = 299 - 305 \\d = -6 \\

The common difference must be the same throughout the entire sequence, so we can do it once more just to be sure:

d = 305 - 311\\d = -6

We also have to know that a_1 stands for the first term of the sequence, which in this case is 311.

Now that we know this, let's find the 32nd term

a_{32} = 311 + (32 - 1)-6\\a_{32} = 311 + 192\\a_{32} = 503

Good luck!

4 0
2 years ago
Read 2 more answers
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