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bulgar [2K]
2 years ago
10

Factor the binomial expansion. 81x4 – 648x3 + 1,944x2 – 2,592x + 1,296

Mathematics
1 answer:
scoray [572]2 years ago
6 0

Answer:

648(x^{3} + 3x^{2} - 4x + 2)

Step-by-step explanation:

When factoring an expression like this, you need to divide all of the parts by a common number or variable. In this case, the only thing all of these numbers share is that they are divisible by 648. So, you would divide each number by 648 to simplify it, getting 1, 3, 4, and 2. Put these numbers in front of their respective variables, and put 648 outside of the parentheses to get the final answer.

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In the geometric progression 1, 2, 4… what term is 512?
Levart [38]

The next term is double the previous term, so that the n-th term is given recursively by

\begin{cases}a_1=1\\a_n=2a_{n-1}&\text{for }n>1\end{cases}

This rule tells us that

a_2=2a_1

a_3=2a_2=2^2a_1

a_4=2a_3=2^3a_1

and so on, with the explicit rule

a_n=2^{n-1}a_1=2^{n-1}

for n\ge1.

If 512 is the k-th term in the sequence, then

512=2^{k-1}\implies\log_2512=\log_22^9=\log_22^{k-1}\implies9=k-1\implies k=10

8 0
3 years ago
Please help me with this problems before my head explodes
Orlov [11]

Answer:

1: c over 3

2: 9

3: 15 square root of 3

4: 5 + 2√6

Sorry but that's all I got

Step-by-step explanation:

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3 years ago
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tankabanditka [31]

Answer:

193%

Step-by-step explanation:

40.2 - 13.7 = 26.5

26.5 ÷ 13.7 = 1.93

1.93 = 193%

7 0
4 years ago
What is the range of the number of minutes that employees commute to work?
Ipatiy [6.2K]

Answer:

Need more information to this question.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Solve.<br><br> −<br> 2<br> 5<br> x<br> −<br> 9<br> &lt;<br> 9<br> 10
Mademuasel [1]

Step-by-step explanation:

okay so -25 • -9 = 9+10

225 = 9+10

225 = 19

19. 19

= 11.8

8 0
3 years ago
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