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Lapatulllka [165]
3 years ago
10

Which equation represents the pattern in the table below?

Mathematics
2 answers:
Inessa05 [86]3 years ago
8 0

Answer:

c=s+4

Step-by-step explanation:

We are given that a pattern in the table

We have to find which equation represents the pattern in the table.

Sail=3

Carrie's age=7

Let s be the sale's and c be the carrie's age

Sail=3

Carrie's age=7

Carrie's age=3+4

Sail=5

Carrie's age=9

Carrie's age=5+4

Sail=8

Carrie's age=12=8+4

Sail=13

Carrie's age=13+4

Sail=15

Carrie's age=19=15+4

Hence, C=S+4 is an equation which represents the pattern in the table.

Answer:c=s+4

gizmo_the_mogwai [7]3 years ago
7 0
The answer is C=S+4 Because both S and C have the same rate of change you only need to find the difference of the two values.
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Consider the following division of polynomials.
Bond [772]

x^4=x^2\cdot x^2. Multiplying the denominator by x^2 gives

x^2(x^2+2x+8)=x^4+2x^3+8x^2

Subtracting this from the numerator gives a remainder of

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and subtracting this from the previous remainder gives a new remainder of

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This last remainder is exactly the same as the denominator, so x^2+2x+8 divides through it exactly and leaves us with 1.

What we showed here is that

\dfrac{x^4+x^3+7x^2-6x+8}{x^2+2x+8}=x^2-\dfrac{x^3+x^2+6x-8}{x^2+2x+8}

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To verify this solution, we can simply multiply this by the original denominator:

(x^2+2x+8)(x^2-x+1)=x^2(x^2-x+1)+2x(x^2-x+1)+8(x^2-x+1)

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=x^4+x^3+7x^2-6x+8

which matches the original numerator.

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