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2 years ago

What is the remainder when f(x) = 2x4 + x3 – 8x – 1 is divided by x - 2?

Mathematics

1 answer:

madam [21]2 years ago

7 0

Answer:

B.23

Step-by-step explanation:

By the remainder theorem, the remainder is going to be f(2).

That is equal to 2*2^4+2^3-8*2-1=23

I hope this helped you.

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Choose the polynomial written in standard form.

Vedmedyk [2.9K]

X^2y^2+4x^4y+10x^6 is in standard form

8 0

3 years ago

Identify the following sequences as arithmetic, geometric, or neither. For the arithmetic and geometric sequences, identify the

Lapatulllka [165]

Hence,

a. 12, 144, 1728,.. => Geometric

b. 0,5, 10, 15, 20, 25,... => Arithmetic

c. 0,4, 16, 36, 64,... => Neither arithmetic nor geometric

d. 1.5, 2.25, 3.375, 5.0625,... => Geometric

Step-by-step explanation:

In order to identify the sequence as geometric or arithmetic sequence, we find the common difference and common ratio of the sequence. If the common difference is same, it is an arithmetic sequence and if the common ratio is same the sequence is a geometric sequence

Common difference is the difference between consecutive terms of an arithmetic sequence and common ration is the ratio between two consecutive terms of a sequence

So,

a. 12, 144, 1728,..

Here,

$a_1=12\\a_2=144\\a_2=1728$

Common difference:

$d=a_2-a_1 = 144-12 = 132\\=a_3-a_2 = 1728-144=1584$

Common Ratio:

$r=\frac{a_2}{a_1} =\frac{144}{12} = 12\\=\frac{a_3}{a_2}=\frac{1728}{144} =12$

As the common ratio is same, the given sequence is a geometric sequence.

b. 0,5, 10, 15, 20, 25,...

Here,

$a_1 = 0\\a_2 =5\\a_3 =10$

Common difference:

$d=a_2-a_1 = 5-0 = 5\\d=a_3-a_2 = 10-5 = 5$

As the common difference is same, the given sequence is an arithmetic sequence

c. 0,4, 16, 36, 64,...

Here

$a_1 = 0\\a_2 =4\\a_3 = 16\\a_4 = 36$

Common Difference:

$d= a_2-a_1 = 4-0 = 4\\a_3-a_2 = 16-4 = 12$

Common Ratio:

$r=\frac{a_2}{a_1} = \frac{4}{0} = Doesn't\ exist$

Neither the common ratio nor common difference are same, so the given sequence is neither arithmetic nor geometric

d. 1.5, 2.25, 3.375, 5.0625,...

Here

$a_1 = 1.5\\a_2 = 2.25\\a_3 = 3.375$

Common Difference:

$d=a_2-a_1 = 2.25-1.5 = 0.75\\a_3-a_2 =3.375-2.25 = 1.125[/tex]Common Ratio: [tex]r=\frac{a_2}{a_1} = \frac{2.25}{1.5}=1.5\\=\frac{a_3}{a_2} =\frac{3.375}{2.25}=1.5$

As the common ratio is same, given sequence is geometric

Hence,

a. 12, 144, 1728,.. => Geometric

b. 0,5, 10, 15, 20, 25,... => Arithmetic

c. 0,4, 16, 36, 64,... => Neither arithmetic nor geometric

d. 1.5, 2.25, 3.375, 5.0625,... => Geometric

Keywords: Sequence, Ratio

Learn more about sequences at:

#LearnwithBrainly

4 0

3 years ago

Please I need help with this question: 2 + 2d > 6

Aleonysh [2.5K]

$d > 2$

Step-by-step explanation:

1) Subtract 2 from both sides.

$2d > 6 - 2$

2) Simplify 6 - 2 to 4.

$2d > 4$

3) Divide both sides by 2.

$d > \frac{4}{2}$

4) Simplify 4/2 to 2.

$d > 2$

Therefor, the answer is, d >2.

3 0

3 years ago

Read 2 more answers

On Friday, a local hamburger shop sold a combined total of 393 hamburgers and cheeseburgers. The number of cheeseburgers sold wa

Lunna [17]

The answer would be about 98 hamburgers.
This is because you would have to divide 393 by 2 to get 196.5.
Since the number of cheeseburgers is doubled divide 196.5 by 2 to get 98.25.
Add 98.25 to 196.5 and get 294.75.
Subtract.

6 0

3 years ago

A survey of all planet Umpt found that 36 beings preferred dubble juice to all the other juices. If 40 being were surveyed all t

frozen [14]

Answer:

90%

Step-by-step explanation:

Number of beings that preferred dubble juice to all the other juices = 36

Number of beings surveyed = x

The percentage of people that preferred dubble juice is calculated as:

(Number of beings who preferred dubble juice/Total number of beings surveyed) × 100

36/40 × 100

= 90%

90% of beings preferred dubble juice.

4 0

2 years ago