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2 years ago

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

Mathematics

1 answer:

vladimir1956 [14]2 years ago

4 0

<h3>Answer: (x² + 1)(x + 1)</h3>

Work Shown:

x³ + x² + x + 1

(x³ + x²) + (x + 1)

x²(x+1) + 1(x + 1)

(x² + 1)(x + 1)

The basic outline is to pair up the terms into two groups. We factor each group separately, and then factor out the overall GCF (x+1). You can use the FOIL rule to verify the answer.

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Of all the yoga students in a particular area, 20% study with patrick and 80% study with carl. we also know that 8% of the yoga

Allushta [10]

The option D is correct. The probability that a randomly selected yoga student is female, given that the person studies yoga with Carl is 0.83 or 83%.

According to the statement

we have given that the Of all the yoga students in a particular area, 20% study with Patrick and 80% study with Carl. We also know that 8% of the yoga students study with Patrick and are female, while 66% of the students study with Carl and are female.

And we have to find that the probability that a randomly selected yoga student is female, given that the person studies yoga with Carl.

So, For this purpose,

Let p- Patrick , c-Carl and f-female

And we have given that the

P(p) = 20% = 0.2

P(c) = 80% = 0.8

P(p ∩ f) = 8% = 0.08

P(c ∩ f) = 66% = 0.66

Then

We have to find conditional probability where yoga student is female , given that the person studies yoga with Carl

It become according to conditional probability formula:

P(f/c) = P(c ∩ f) / P(c)

Substitute the values in it then

P(f/c) = 0.66 / 0.8

P(f/c) = 0.825

Approximately 0.83.

So, The option D is correct. The probability that a randomly selected yoga student is female, given that the person studies yoga with Carl is 0.83 or 83%.

Learn more about Conditional Probability here

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7 0

2 years ago

HELP ASAP ILL GIVE BRAINLIEST!!

insens350 [35]

By adding 3 to both sides and dividing both sides of the equation by 4 you end up with x=6

answer is x =6

Hope this helps!!

6 0

3 years ago

In the picture below the right triangle is drawn with a 40° angle. For right triangles with an angle of 40", the ratio of the si

diamong [38]

Answer:

90 degrees.

Step-by-step explanation:

Considering a 40 degree angle is opposite to a 40 unit side, a 90 degree angle will be opposite to a 90 degree side.

8 0

3 years ago

There are exactly four positive integers n such that (n +7) is a factor of ( n +1) . Find the largest such n .

kipiarov [429]

$\dfrac{n+1}{n+7}=\dfrac{n+7-6}{n+7}=1-\dfrac6{n+7}$

$n+7$ will be a factor whenever the remainder term $-\dfrac6{n+7}$ vanishes. But this will never happen for any integer $n$ , so I suspect the question is inaccurately posed. Are there some characters missing?

4 0

4 years ago

Given A(9, 2), B(-1,Y), C(-5, 16).

Gwar [14]

Answer:

y=8

Step-by-step explanation:

8 0

4 years ago