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igor_vitrenko [27]
3 years ago
5

PLEASE HELP!!!!! Factor completely 16x8 − 1

Mathematics
2 answers:
Stolb23 [73]3 years ago
7 0

Answer:

the answer is (2x² - 1)(2x² + 1)(4x^{4} + 1 )

Step-by-step explanation:

Delvig [45]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

This is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

16x^{8} = ( 4x^{4} )² ⇒ a = 4x^{4}

1 = 1² ⇒ b = 1

Hence

16x^{8} - 1

= (4x^{4} )² - 1²

= (4x^{4} - 1)(4x^{4} + 1)

4x^{4} - 1 ← is also a difference of squares and factors as

(2x² - 1)(2x² + 1)

Thus

16x^{8} - 1

= (2x² - 1)(2x² + 1)(4x^{4} + 1 )

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FIND THE SUM OF 20 TERMS OF THE ARITHMETIC SERIES IN WHICH 3rd TERM IS 7 AND 7th TERM IS 2 MORE THAN THREE TIMES ITS 3rd TERM
algol13

Answer:

740

Step-by-step explanation:

The n th term of an arithmetic series is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then

a₁ + 2d = 7 → (1)

a₁ + 6d = 23 → (2)

Subtract (1) from (2) term by term

4d = 16 ( divide both sides by 4 )

d = 4

Substitute d = 4 into (1)

a₁ + 2(4) = 7

a₁ + 8 = 7 ( subtract 8 from both sides )

a₁ = - 1

The sum to n terms of an arithmetic series is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ] , thus

S_{20} = \frac{20}{2} [ (2 × - 1) + (19 × 4) ]

     = 10(- 2 + 76) = 10 × 74 = 740

8 0
3 years ago
Please help meeeeeee.
Illusion [34]

The answer to the math problem is 8y^12

3 0
3 years ago
After driving 152 ​km, 4/5 of a trip is completed. How long is the total​ trip? How many more kilometers must be driven to compl
nikitadnepr [17]

Answer:

1. Total Trip Distance = 190 kilometers

2. To complete the trip, 38 more kilometers left


Step-by-step explanation:

1.

Let total trip be x kilometers.

So we can say

<em>"152 is \frac{4}{5} of total" --- this into equation is:</em>

152=\frac{4}{5}x\\x=\frac{152}{\frac{4}{5}}\\x=190


Total trip is 190 km.


2.

Since already driven 152, to complete 190, you have to drive  190-152=38 kilometers more.

So, 38 more kilometers to complete the trip.

7 0
3 years ago
Read 2 more answers
If the values in the table below model a proportional relationship, what is the equation for the function?
Jet001 [13]

Given:

The table represents a proportional relationship.

To find:

The equation of the function.

Solution:

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y\propto x

y=kx     ...(i)

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From the given table it is clear that the function passes through (2,1). So, the equation must be satisfied by the point (2,1).

Putting x=2 and y=1 in (i), we get

1=k(2)

\dfrac{1}{2}=k

Putting k=\dfrac{1}{2}, we get

y=\dfrac{1}{2}x

Therefore, the correct option is A.

6 0
3 years ago
Three rectangular tables are placed end to end to form one long table 7.8 meters long. The lengths of two of the tables are 3.5
WARRIOR [948]

The length of the third smallest table is 1.6 because 7.8 is more than 3.5 and 3.5 is more than 1.6,

5 0
3 years ago
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