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Hatshy [7]
3 years ago
11

Select the function that represents a geometric sequence.

Mathematics
2 answers:
ikadub [295]3 years ago
7 0
B. Is the answer to your question.
Marta_Voda [28]3 years ago
6 0

Answer:

Option B

Step-by-step explanation:

Given are 4 sequences and we have to find which one represents a geometric sequence.

We know that geometric sequence will be of the form

a, ar, ar^2,....

On scrutinising the options we get first option does not have the term multiplied by common ratio

OPtion I is incorrect

Option II is a geometric sequence with common ratio (1+i)

Option III is not a geometric sequence since the exponents are all real numbers

Option IV is also incorrect.

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In your case, the monomials are

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As the name suggests, a trinomial is the sum of three monomials, which is exactly your case.

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Step-by-step explanation:

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Answer:

  • (a)  area = 3y^2 +14y +16
  • (b)  perimeter = 8y +20

Step-by-step explanation:

Part of the point of Algebra is that you can work with things that stand for numbers (almost) as easily as working with numbers themselves. Here, you are given values that stand for the length and width of the rectangle.

(a) You know the area of a rectangle is found by multiplying its length by its width. The same is true when length and width are algebraic expressions that stand for those numbers.

  <u>Given:</u> length = 3y+8, width = y+2

  <u>Find:</u> area = length × width

  <u>Solution:</u>

     area = (3y+8) × (y+2)

Using the distributive property, we can perform this multiplication in essentially the same way we would for the numbers 38 and 12.

     area = 3y(y +2) +8(y +2)           equivalent to 30(12) +8(12)

     = 3y^2 +6y +8y +16                  equivalent to 30·10 +30·2 +8·10 +8·2

     area = 3y^2 +14y +16              equivalent to 3·10^2 +14·10 +16

(Of course, with numbers, there are relationships between units and tens and hundreds that let us further combine terms. When variables are involved, we can combine terms with the same power of the variable, but we cannot combine "y" terms with "y^2" terms the way we can with numbers.)

___

(b) The perimeter is the sum of the lengths of the four sides of the rectangle. Since two of those sides are "length" and two are "width", we can write ...

  perimeter = 2(length + width)

Making the substitution for length and width as defined above, we have

  perimeter = 2((3y+8) + (y+2))

  = 2(3y+y + 8+2) = 2(4y +10)

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d

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the graph increases then goes horizontal

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