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geniusboy [140]
3 years ago
6

Factor the expression d^2+10d+25

Mathematics
1 answer:
oee [108]3 years ago
3 0

Answer:

(d+5)^2

Step-by-step explanation:

d^2+10d+25

What 2 numbers multiply together to give 25 and add to 10

5*5 = 25

5+5 =10

(d+5) (d+5)

Simplifying

(d+5)^2

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Answer: The correct option is 1, i.e., f(x+1)=\frac{5}{6}f(x).

Explanation:

The geometric sequence is in the form of,

a,ar,ar^2,ar^3,....

Where, a is the first term of the sequence and r is the common ratio of the sequence.

It means the n_{th} term of the sequence is defined as,

a_n=ar^{n-1}

So the the (n+1)_{th} term of the sequence is defined as,

a_{n+1}=ar^n

a_{n+1}=r(ar^{n-1})

a_{n+1}=ra_n

It means the geometric sequence is in the form of,

f(x+1)=rf(x)

Where, r be any constant.

From the options only f(x+1)=\frac{5}{6}f(x) is in the form of f(x+1)=rf(x) with common ratio \frac{5}{6}.

Therefore, the function can be used to model the graphed geometric sequence is f(x+1)=\frac{5}{6}f(x) .

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