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3 years ago

Factor x3+x2+x+1 by grouping. What is the resulting expression

Mathematics

2 answers:

zmey [24]3 years ago

7 0

Answer:

(x+1) (x^2+1)

Step-by-step explanation:

x^3+x^2+x+1

Factor by grouping

x^3+x^2 +x+1

Factor out x^2 from the first group and 1 from the second group

x^2( x+1) + 1( x+1)

Factor out (x+1)

(x+1) (x^2+1)

WINSTONCH [101]3 years ago

4 0

Add the like terms and it would be x6+1 this is because if x is being multiplied by 3 and then the other x is multiplied by 2 then we can just add the numbers and get 5 and x by itself is also x1 because 1 times whatever number will always just be the other number so with 3+2+1 we have 6x and then the other 1 would just be +1

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If 35% of a number is 21 and 90% of the same number is 54, find 55% of that number.

inn [45]

Answer:

Step-by-step explanation:

The number is 60:

Divide the amount and decimal of the percentage to be extracted

Case 1

$\frac{21}{0.35} =60$

Case 2

$\frac{54}{0.9} =60$

Now the 55% of this number is:

$60(0.55)=33$

Hope this helps

4 0

2 years ago

Find the area of the shape. Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter you

Len [333]

Answer:

Area of given figure = 37.68 unit²

Step-by-step explanation:

Given:

Radius of given shape = 4 unit

Angle = 270°

Value of π = 3.14

Find:

Area of given figure

Computation:

Area of given figure = [Ф/360][πr²]

Area of given figure = [270/360][(3.14)(4)²]

Area of given figure = [0.75][(3.14)16]

Area of given figure = [0.75][50.24]

Area of given figure = 37.68 unit²

6 0

3 years ago

20 points!!! first answer gets brainliast. Don't need too much explanation thank you!

KengaRu [80]

Answer:

The answer to your question is below

Step-by-step explanation:

2. $\sqrt{-128}$ Just find the prime factors of 128 and simplify

$\sqrt{-2^{7}} = \sqrt{-2^{6} 2} = 2^{3}i \sqrt{2}$

$8i\sqrt{2}$

3.- $\sqrt{-9} + \sqrt{-16}$ Get the square roots and simplify

3i + 4i

4.- None of the choices is equal to one, because the exponents are pair.

5.- 1/3x² + 10 = 7

1/3x² = 7 - 10

1/3x² = -3

x² = -3(3)

x² = -9

x = ±3i

8 0

3 years ago

Which one is it , I’m having a hard time I’m a freshman.

IgorC [24]

I believe it should be C

5 0

3 years ago

Read 2 more answers

A player at a fair pays Rs. 100 to roll a dice. The player receives Rs. 50 if the number of dots facing up is equal to 5, Rs. 20

FinnZ [79.3K]

Answer:

The dice has 6 options:

if the outcome is 5, player wins 50

if the outcome is 6, player wins 200

if the outcome is another number, the player does not win anything.

Now, remember that the expected value can be written as:

E = ∑xₙpₙ

where xₙ is the event n, and pₙ is the probability of that event.

for a dice, the probabilty for each number is 1/6

The expected value is:

E = (1/6)*(0 + 0 + 0 + 0 + 50 + 200) = 41.66

The expected gain will be E - 100 (because the player pays 100 in order to play)

Then the expected gain is:

G = 41.66 - 100 = -58.33

The standard deviation can be written as:

s = √( ∑(x - x)^2/n)

where x is the mean, in this case the mean is:

(200 + 50 + 4*0)/6 = 41.66 and n = 6.

s = √( (1/6)*(4*(0 - 41.66)^2 + (50 - 41.66)^2 + (200 - 41.66)^2) ) = 73

So we have a lot of standard deviation on Y.

5 0

3 years ago