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4 years ago

Divide these polynomials.

Mathematics

1 answer:

Kryger [21]3 years ago

3 0

( $6x^{2} + 14 x^{2} + 6x - 2$ ) ÷ ( $2x + 2$ )
= $3x^{2} + 4x - 1$

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If she completely guesses on all of the questions, what is the probability that she gets two of the four questions correct?

masha68 [24]

Answer:

D) 0.211

Step-by-step explanation:

The probability of getting a correct answer is 1/4, so the probability of an incorrect answer is 3/4.

The probability of 2 correct and 2 incorrect is (1/4)(1/4)(3/4)(3/4) = 9/256.

There are C(4,2) = 4·3/(2·1) = 6 ways to have some combination of 2 correct and 2 incorrect out of 4 questions. So, the probability of that result is ...

... 6 · 9/256 = 27/128 =0.2109375 ≈ 0.211

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4 years ago

What is 0.008 as a percent

lakkis [162]

0.008 as a percent is 0.8%.

4 0

3 years ago

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In the expansion of ( x^3 - 2/x^2 ) ^10 , find the coefficient of 1/x^5

Lilit [14]

Answer:

240

Step-by-step explanation:

We need to find the coeffeicent of the binomial expansion of

$( {x}^{3} - 2 {x}^{ - 2} ) {}^{10}$

Note that

$- 2 {x}^{ - 2} = - \frac{2}{ {x}^{2} }$

The binomial theorem states that

$(x + y) {}^{n} = x {}^{n} y {}^{0} + \binom{n}{1} x {}^{n - 1} y + \binom{n}{2} x {}^{n - 2} y {}^{2} ....... + x {}^{0} y {}^{n} ( \binom{n}{n} )$

Using this, we let expand our series

$( {x}^{3} - 2 {x}^{ - 2} ) {}^{10} = x {}^{30} + \binom{10}{1} ( {x}^{27} 2 {x}^{ - 2} ) + \binom{10}{2} {x}^{24} 2x {}^{ - 4} + \binom{10}{3} {x}^{21} 2x {}^{ - 6} + \binom{10}{4} {x}^{18} 2x { }^{ - 8} + \binom{10}{5} x {}^{15} 2x {}^{ - 10} + \binom{10}{6} x {}^{12}2 x {}^{ - 12} + \binom{10}{7} x {}^{ 9} 2x {}^{ - 14} + \binom{10}{8} x {}^{ 6} 2x {}^{ - 16} + \binom{10}{9} ( {x}^{3} )2x {}^{ - 18} + 2x {}^{ - 20}$

$\frac{1}{ {x}^{5} } = x {}^{ - 5}$

So what term in the series eqaul x^-5.

That term is the 10 choose 7 term.

$\binom{10}{7} {x}^{9} 2x {}^{ - 14}$

Because

$= \binom{10}{7} 2x {}^{ - 14} {x}^{9} = \binom{10}{7} 2 {x}^{ - 5}$

So we need to compute 10 choose 7.

That equals

10!/3!(7!)= 10×9×8/6= 720/6=120.

So we get

$120(2) {x}^{ - 5}$

$240 {x}^{ - 5}$

So the coeffceint u

is 240

3 0

2 years ago

Estimate 306% of 25 hkhiuiuuigkuuigigiiuuu

Snowcat [4.5K]

306% of 25

= (306/100) * 25

= 3.06 * 25

= 76.5

6 0

3 years ago

Jackson walks 2/3 miles to school everyday how many miles is he walk after 12 days of school

boyakko [2]

Answer:

Step-by-step explanation:

I don't really understand miles, because i live in a country where we use kilometres, but what you could do is divide a mile by 3, times the answer by two , and then times that answer by 12.

hopefully this helps!!

3 0

4 years ago

Read 2 more answers