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zvonat [6]
4 years ago
10

Multiply (x + 1); x + 1 3+ + 2x+2 x +x+1 2+2x+1

Mathematics
1 answer:
nika2105 [10]4 years ago
7 0

Answer:

HI!!! I believe your answer is option a because it looks like your not multiplying anything so hope this helps:)

Step-by-step explanation:

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4 division facts

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Choose one of the factors of x15 − 64. (2 points)
Lorico [155]

We have been given the function x^{15}-64

Convert this expression in difference of cubes form.

x^{15}-64\\=(x^5)^3-4^3

Now, in order to find the factors, we can apply the difference of cubes form, which is given by

x^3-y^3=(x-y)(x^2+xy-y^2)

On applying this formula, we get

(x^5-4)(x^{10}+4x^5+16)

Hence, the factors of the given expression are

(x^5-4) \text{ and }(x^{10}+4x^5+16)

Out of the given option, A is the correct option.

x^5 − 4 is the required factor.

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Step-by-step explanation:

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What is Negative. 377 equals x minus 1000.
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PLZ EXPLAIN AND I'LL GIVE BRAINLY!!!!
Nonamiya [84]

Hello there!

Given the sequence:

\displaystyle \large{ 1, - 3,9, - 27,...}

The question reveals it to be geometric sequence since it has common ratio.

<u>G</u><u>e</u><u>o</u><u>m</u><u>e</u><u>t</u><u>r</u><u>i</u><u>c</u><u> </u><u>S</u><u>e</u><u>q</u><u>u</u><u>e</u><u>n</u><u>c</u><u>e</u> / <u>R</u><u>a</u><u>t</u><u>i</u><u>o</u><u> </u><u>F</u><u>o</u><u>r</u><u>m</u><u>u</u><u>l</u><u>a</u>

<u>\displaystyle \large{r =  \frac{a_{n + 1}}{a_n} }</u>

Define 'r' as common ratio.

First, let's check the common ratio by using the formula above.

<u>R</u><u>a</u><u>t</u><u>i</u><u>o</u><u> </u><u>C</u><u>h</u><u>e</u><u>c</u><u>k</u>

\displaystyle \large{r =  \frac{ - 3}{1} \longrightarrow  - 3 } \\  \displaystyle \large{r =  \frac{ 9}{ - 3} \longrightarrow  - 3 } \\  \displaystyle \large{r =  \frac{ - 27}{9} \longrightarrow  - 3 }

Therefore, the common ratio or r-value is -3.

To find the 7th term of sequence, you can by using the General Geometric Terms.

<u>G</u><u>e</u><u>n</u><u>e</u><u>r</u><u>a</u><u>l</u><u> </u><u>T</u><u>e</u><u>r</u><u>m</u><u> </u><u>o</u><u>f</u><u> </u><u>G</u><u>e</u><u>o</u><u>m</u><u>e</u><u>t</u><u>r</u><u>i</u><u>c</u>

\displaystyle \large{a_n = a_1 {r}^{n - 1} }

a1 is defined as the first term of sequence.

r is common ratio.

n is the term.

Since we want to find 7th term:

  • a1 = 1
  • r = -3
  • n = 7

\displaystyle \large{a_7 =1{( - 3)}^{7 - 1} } \\  \displaystyle \large{a_7 =1{( - 3)}^{6} } \\  \displaystyle \large{a_7 =729 }

Therefore, the 7th term of this sequence is 729.

Let me know if you have any questions!

Topic: Sequence and Series / Geometric Sequence

7 0
3 years ago
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