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3 years ago

Use the explicit rule to find the 22nd term of the sequen e 5,8.11

Mathematics

1 answer:

liubo4ka [24]3 years ago

4 0

Answer:

Step-by-step explanation:

The first differences of the given terms are ...

8 -5 = 3

11 -8 = 3

These are the same value, so we see this sequence is an arithmetic sequence with a common difference of 3. The first term is 5.

The explicit formula for the n-th term is ...

an = a1 +d(n -1)

We know a1=5, d=3, and we want to find the value for n=22. Hence ...

a22 = 5 +3(22 -1) = 5 +63 = 68

The 22nd term is 68.

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Andres works at a job that pays him 12.50 an hour.Andres works 30 hours a week.How much does he make each month after 30% of cal

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Answer:

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Step-by-step explanation:

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3 years ago

Apples 23 and orange 65 how many orange and apple has?

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4 years ago

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hello! I need some help, this is one of my review problems and I don't remember how to do it! So assistance would be appreciated

ladessa [460]

Answer:

(2x^3)(3x^3 +2x +5)

Step-by-step explanation:

The key words here are "greatest common factor." They have their usual English meanings. A common factor is one that is a multiplier in every term, so you need to look to see what those are. The "greatest common factor" is the largest common factor you can find.

first term: 2·3·x·x·x·x·x·x

second term: 2·2·x·x·x·x

third term: 2·5·x·x·x

A common factor is a factor that is on every list. I have shown them in bold. Once the common factor is factored out, the remaining factors are summed according to the distributive property.

6x^6 +4x^4 +10x^3 = (2x^3)(3x^3 +2x +5)

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Of course you recognize that each of the coefficient numbers is even. That means they are all divisible by 2. So, you know right away that 2 is a common factor.

There are powers of x in every term. The lowest power of x is x^3, and all the other powers are higher, so you know that x^3 will be a common factor, too. Having got this far, you can factor out 2x^3 and see if any of the remaining terms seem to have anything in common. They don't.

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3 years ago

Natalia bought 4 boxes of pencils and 9 reams of paper for 75$. Ronnie by eight boxes of pencils and five reams of paper for 67.

storchak [24]

Answer:a box of pencil cost=$4.395

And a ream of paper cost=$6.38

Step-by-step explanation:

Let the cost of box of pencil be represented as p

And the cost of ream of paper be represented as r

Such that

4 boxes of pencils and 9 reams of paper costing 75$ be represented as

4p+9r=75-----equation 1

Also, eight boxes of pencils and five reams of paper for 67 be represented as

8p + 5r=67------equation 2

Solving

4p+9r=75-----equation 1

8p + 5r=67------equation 2

By elimination method, multiply equation 1 by 2 and equation 2 by 1

8p +18r=150---equation 3

8p+5r=67----equation 4

Subtracting equation 4 from equation 3

13r=83

r=83/13

r=6.38

Putting the value of r=6.38 in equation 1 to solve for p, we have

4p+9r=75

4p+9(6.38)=75

4p+57.42= 75

4p=75-57.42

4p=17.58

p=17.58/4

p=4.395.

Therefore a box of pencil cost=$4.395

And a ream of paper cost=$6.38

8 0

3 years ago