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Alisiya [41]
4 years ago
9

Determine the quotient, q(x), and remainder, r(x) when

Mathematics
1 answer:
tresset_1 [31]4 years ago
6 0

ANSWER

Quotient:

q(x) = 3 {x}^{2}  + 4x + 1

Remainder:

r(x) = 4x + 2

EXPLANATION

The given function is:

f(x) = 12 {x}^{4}  + 2 {x}^{3}  + 30 {x}^{2}  + 28x + 8

and

g(x) =4 {x}^{2}  + 2x + 6

We want to determine the quotient and the remainder when f(x) is divided by g(x).

We perform the long division as shown in the attachment.

The quotient is

q(x) = 3 {x}^{2}  + 4x + 1

and the remainder is

r(x) = 4x + 2

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Answer:

Step-by-step explanation:

It is more frequently used to find primes, oddly enough.

Write down the first 25 numbers.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

Start with 2. Use your eraser and jump to 4. Erase it because 2 will divide into 4. Leave 5 alone. 2 won't go into 5. But it will into 6. Erase six. Leave 7. Go to 8 and erase it. Leave 9 erase 10. Leave 11. Erase 12. Leave 13. Erase 14. Erase 16,18,20,22,24,26,28,30 all for the same reason. Two will divide into each of them.

Start with 3 can't do anything. 3 stays 6 is gone erase 9 . 12 is gone. Erase 15. 18 is already gone. Erase 21, 24 is gone. Erase 27. 30 is gone already.

Do the same with 5, 7, 11, 13,17,19,23 (you do run out of numbers to erase)

The sieve leaves behind the primes.

Anything you have erased is a composite.

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3 years ago
Please help me with math please
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Step-by-step explanation:

I'm thinking about $35 hope this helps ! :-)

5 0
3 years ago
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In the diagram below, is an altitude of WXY. What is the length of ? If necessary, round your answer to two decimal places.
Vinvika [58]
Below is the solution for the given problem above:

<span>WX = 10 sqrt(2) by the Pythagorean Theorem.

WY/WX = WX/10 because of similar triangles.
 
WY = [(WX)^2]/10 = 20
 
WY = WZ + YZ
 
YZ = 10
</span>
I hope this helps!
8 0
4 years ago
According to a recent study of 7335 young people in the US, 30% had been arrested for a crime other than a traffic violation by
victus00 [196]

Answer:

a) Statistic.

b) The population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.

Step-by-step explanation:

a) The proportion of 30% is a statistic, as it is a value that summarizes data only from the sample taken in the study from USA Today. Other samples may yield different proportions.

b) We can use the statistic to estimate a confidence interval for the parameter of the population.

The standard error for the proportion is calculated as:

\sigma_p=\sqrt{\dfrac{p(1-p)}{N}}=\sqrt{\dfrac{0.3\cdot 0.7}{7335}}=\sqrt{2.83\cdot10^5}= 0.00535

The margin of error is 0.01. We can use this value to determine the level of confidence that represents.

The formula for the margin of error is:

E=z\cdot \sigma_p=0.01\\\\z\cdot 0.0535=0.01\\\\z=1.87

This z-value, according to the the standard normal distribution, corresponds to a confidence interval of 94%.

The interval for this margin of error is:

p-E\leq \pi \leq p+E\\\\0.30-0.01\leq \pi \leq 0.30+0.01\\\\0.29\leq \pi \leq 0.31

Then, we can conclude that the population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.

3 0
4 years ago
A two digit number is to be formed from the digits 0,1,2,3,4 Repetition of the is allowed. find the probability that the number
ra1l [238]
<h2>Answer:</h2>

<u>Sample space</u> = {10, 11, 12, 13, 14, 20, 21, 22, 23, 24, 30, 31, 32, 33, 34, 40, 41, 42, 43, 44}

∴ n(S) = 20 .

[i] <u>Let A be the event that the number so formed is a prime number</u>.

∴ A = {11,13,23,31,41,43}

∴ n(A) = 6

So, P(A) = n(A)/n(S) = 6/20

∴ P(A) = 3/10.

[ii] <u>Let B be the event that the number so formed is a multiple of 4</u>.

∴ B = {12,20,24,32,40,44}

∴ n(B) = 6

So, P(B) = n(B)/n(S) = 6/20

∴ P(B) = 3/10.

[iii] <u>Let C be the event that the number so formed is a multiple of 11</u>.

∴ C = {11,22,33,44}

∴ n(C) = 4

So, P(C) = n(C)/n(S) = 4/20

∴ P(C) = 1/5.

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