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3 years ago

6

What is the factored form of n2 – 25?

1 answer:

lesantik [10]3 years ago

3 0

Answer: (n + 5)(n - 5)

Explanation: In this problem, we have a binomial that's the difference of two squares because n² and 25 are both perfect squares and we are subtracting or taking the difference of these two squares.

Since the difference of two squares factors as the product of two binomials, we can setup our parenthses and in the first position, we use the factors of n² that are the same which are n · n.

In the second position, we use +5 and -5 as our factors of -25.

So our answer is (n + 5)(n - 5).

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Factor out: <br> 5y^2-2y-7

KatRina [158]

5y^2-2y-7=0
Product(x)= -35
Addition(+)= -2
~=5 and -7
5y^2+5y-7y-7=0
5y(y+1)-7(y+1)=0
(5y-7) (y+1)

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3 years ago

(2n^3+20n^2+n)/10n^2

gizmo_the_mogwai [7]

The simplified form of this polynomial is (n(20n + 1))/5

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3 years ago

a cell phone company plans to market a new smartphone. they have already sold 612 units durning the first week of the campaign.

Vadim26 [7]

The first term is 612.

The common ratio is 1.08 and

The recursive rule is $a_{n} = a^{n-1} \times r$

<u>Step-by-step explanation:</u>

the question to the problem is to write the values of the first term, common ratio, and expression for the recursive rule.

<u>The first term :</u>

In geometric sequence, the first term is given as $a_{1}$ .

⇒ $a_{1} = 612$

Now, the geometric sequence follows as 612, 661, ........

<u>The common ratio (r) :</u>

It is the ratio between two consecutive numbers in the sequence.

Therefore, to determine the common ratio, you just divide the number from the number preceding it in the sequence.

⇒ r = 661 divided by 612

⇒ r = 1.08

<u>To find the recursive rule :</u>

A geometric series is of the form a,ar,ar2,ar3,ar4,ar5........

Here, first term $a_{1} = a$ and other terms are obtained by multiplying by r.

Observe that each term is r times the previous term.
Hence to get nth term we multiply (n−1)th term by r .

The recursive rule is of the form $a_{n} = a^{n-1} \times r$

This is called recursive formula for geometric sequence.

We know that r = 1.08 and $a_{1}$ = 612.

To find the second term $a_{2}$ , use the recursive rule $a_{n} = a^{n-1} \times r$

⇒ $a_{2} = a^{2-1}\times r$

⇒ $a_{2} = a^{1}\times r$

⇒ $a_{2} = 612\times 1.08$

⇒ $a_{2} = 661$

3 0

3 years ago

Three times a number x is at least -18

Ksivusya [100]

3x is greater than or equal to -18. You would divide each side by 3 to get x alone. Then You will get what x stands for. (x= -6)

4 0

3 years ago

What is 5 lb10 oz + 3 lb12 oz

yanalaym [24]

Answer:

9 lbs and 6 Oz

Step-by-step explanation:

10 + 12= 22

5+3= 8

1 lbs=16 oz

22-16=6

5+3+1=9

6 oz is left over

Hope this helps :)

4 0

3 years ago

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