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3 years ago

A student factors a^6 - 64 to (a^2-4)(a^4 + 4a^2+ 16).

Mathematics

1 answer:

Neko [114]3 years ago

4 0

Answer:

Option (b) is correct.

The expression is equivalent, but the term is not completely factored.

Step-by-step explanation:

edge 2020

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Identify a pattern in the given list of numbers. Then use this pattern to find the next number.

Rom4ik [11]

Answer:

The given sequence is geometric sequence

In the given pattern we have next number is $a_5=\frac{1}{4}$

Step-by-step explanation:

Given numbers are 64,-16,4,-1

To identify the pattern of the given numbers :

Let $a_1=64$ , $a_2=-16$ , $a_3=4$ and $a_4=-1$

To find the next number that is $a_5$

common ratio $r=\frac{a_2}{a_1}$

$=\frac{-16}{64}$

$r=-\frac{1}{4}$

$r=\frac{a_3}{a_2}$

$=\frac{4}{-16}$

$r=-\frac{1}{4}$

Therefore the common ration is $r=-\frac{1}{4}$

Therefore the given sequence is geometric sequence

The nth term of the geometric sequence is $a_n=a_1r^{n-1}$

Now find the 5th term so put n=5 , $a_1=64andr=\frac{-1}{4}$ we have

$a_5=64(\frac{-1}{4})^{5-1}$

$=64(\frac{-1}{4})^{4}$

$=64(\frac{1}{4})^{4}$

$=64(\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4})$

$=\frac{1}{4}$

Therefore $a_5=\frac{1}{4}$

8 0

3 years ago

Once I lower the points because I'm going broke and won't be able to ask any questions , NOBODY ANSWERS.

Georgia [21]

Answer:

uh just answer a question

Step-by-step explanation:

8 0

3 years ago

Please help I need help with this homework ASAP!!

WARRIOR [948]

8/12 and 4/6 and10/15 and20/30 and 40/60

6 0

3 years ago

If an 11year old child needs to take 1/5 amount of medication per day to heal their head. If a baby has to take 1/5 as much to g

MatroZZZ [7]

Answer:

Step-by-step explanation:

the child takes 1/5.....the baby needs to take 1/5 of what the child takes

so 1/5 of 1/5....." of " in math, means multiply

1/5 * 1/5 = 1/25 of the amount <==

6 0

3 years ago

Vicki is 5 years older than twice Ella's age, a.

Anettt [7]

Answer:

5+3a=29

Step-by-step explanation:

let Ella's age be 'a'

Vicki's age=5+2a

sum of their ages= 29

So, the equation is

(5+2a)+a=29

5+3a=29

<em>hope this helps!</em>

8 0

3 years ago

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