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Yanka [14]
3 years ago
15

Given a polynomial and one of its factors bother main factors 9x^3 + 20x^2 - 68x - 16; (x+4)

Mathematics
1 answer:
icang [17]3 years ago
8 0

Answer:

9x+2 and x-2.

Step-by-step explanation:

Given the polynomial 9x^3 + 20x^2 - 68x - 16

If one of the factors is x+4, then to obtain the other factor, we divide the polynomial by the known factor.

\dfrac{9x^3 + 20x^2 - 68x - 16}{x+4} =9x^2-16x-4

Next, we factorize our result

9x^2-16x-4=9x^2-18x+2x-4\\=9x(x-2)+2(x-2)\\=(9x+2)(x-2)

Therefore, the other factors of the polynomial are 9x+2 and x-2.

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The volume of a shampoo filled into a container is uniformly distributed between 370 and 385 milliliters. (a) What are the mean
Olenka [21]

Answer:

(a) mean = 377.5ml. standard deviation = 4.33

(b) 0.333

(c) 384.25 ml

Step-by-step explanation:

(a)The mean:

\mu = \frac{385 + 370}{2} = 377.5 ml

The standard deviation:

\sigma = \frac{385 - 370}{\sqrt{12}} = 4.33

(b)

P(x < 375) = \frac{375 - 370}{385 - 370} = \frac{1}{3} \approx 0.333

(c)P(x > m) = 0.95

\frac{m - 370}{385 - 370} = 0.95

m - 370 = 14.25

m = 384.25ml

So the volumn of shampoo should be 384.25ml to exceed 95% of containers.

7 0
3 years ago
The graph shows y = cot(x). Which of the following are true of its inverse? Check all that apply.
uranmaximum [27]

Answer:

Zeroes: None

Domain: All real numbers

Maximum: None

Step-by-step explanation:

EDGE PRECAL 2020

5 0
3 years ago
Read 2 more answers
What is question is asking
Pachacha [2.7K]
A) 72/910
b) 278/910
c) 57/910
d1) same as c) = 57/910
d2) 120/910
d3) 101/910
e) No, they DEPENDANT. 
57% of Liberals approve citizenship against 15% of conservatives and 33% of Moderates





5 0
3 years ago
The probability that a civil servant own a car is 1/6,if two civil servants are selected at random.find the probability that
Elodia [21]

Answer:

The data we have is:

the probability that a civil servant own a car is 1/6

Two civil servants are selected at random.

a) The probability that each own a car.

Ok, here we have two events:

Person 1 haves a car.

Person 2 haves a car.

The probability of each of those events is the same, 1/6.

P1 = 1/6

P2 = 1/6

Now, the probability of both events happening at the same time is equal to the product of the individual probabilities.

P = P1*P2 = (1/6)*(1/6) = 1/36.

b) Only one has a car.

Suppose that Person 1 has the car and Person 2 has not a car.

The probability for person 1 is 1/6.

And for person 2, is the negation of having a car:

So if we have prob of having a car = 1/6

Then the probability of not having a car is = 1 - 1/6 = 5/6.

Then we have:

P1 = 1/6

P2 = 5/6.

The joint probability is:

P = P1*P2 = (1/6)*(5/6) = 5/36.

But we also have the case where person 1 does not have a car, and person 2 does have one, then we have a permutation, and the actual probability is two times the obtained above.

P = 2*(5/36) = 10/36

4 0
3 years ago
4.18 repeating as a fraction
olga_2 [115]

Answer: it’s 148 also i don’t know if you mean 4.18 as a fraction?

Step-by-step explanation:

6 0
2 years ago
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