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kaheart [24]
2 years ago
8

The quotient of (x⁴+ 5x³ 3x - 15) and (x³ - 3) is a polynomial. What is the quotient?

Mathematics
1 answer:
lesya [120]2 years ago
6 0

Answer:

x+5 (under assumption you meant to do -3x

Step-by-step explanation:

you can use long division.

Take the leading coefficient x^4 and divide it by x^3. This results in x which is going to be the first part of you quotient. Now take that x and multiply it by the divisor (x^3 - 3). This gives you x(x^3 - 3) = x^4 - 3x. Now subtract that x^4 - 3x from the original polynomial and repeat this until you can't divide anymore

x^4+5x^3-3x-15 - (x^4-3x) = 5x^3-15\\x^3/5x^3=5\\5(x^3-3) = 5x^3-15\\5x^3-15-(5x^3-15) = 0\\\\x+5

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Line segment AB has endpoints A(1,8) and B(7,−4). What are the coordinates of the point located 5/6 of the way from A to B?
const2013 [10]

The coordinate of the point is (6,-2)

<h3>How to determine the coordinate of the point?</h3>

The given parameters are:

A = (1,8)

B = (7,-4)

The location of the point (i.e 5/6) means that the ratio is:

m :n = 5 : (6 - 5)

m : n = 5 : 1

The coordinate of the point is then calculated as:

(x,y) = \frac{1}{m + n}* (mx_2 + nx_1,my_2 + ny_1)

So, we have:

(x,y) = \frac{1}{5 + 1}* (5 * 7 + 1 * 1 , 5 * -4 + 1 * 8)

Evaluate

(x,y) = \frac{1}{6}* (36 , -12)

Evaluate the product

(x,y) = (6,-2)

Hence, the coordinate of the point is (6,-2)

Read more abut line segment ratio at:

brainly.com/question/12959377

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6 0
2 years ago
A simple random sample of n measurements from a population is a subset of the population selected in a manner such that which of
Ierofanga [76]

Answer:

a) sample of size n from the population has an equal chance of being selected.

b) Every member of the population has an equal chance of being included in the sample.                                            

Step-by-step explanation:

Simple random sampling:

  • It is a type of probabilistic sampling.
  • It is an unbiased representation of population.
  • The probability of selection is equal for every observation.
  • A sample is taken in such a way that each member has an equal probability of being selected.
  • A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen.
  • Thus,the correct interpretation is given by,

a) sample of size n from the population has an equal chance of being selected.

b) Every member of the population has an equal chance of being included in the sample.

  • c) The simplest method of selection is used to create a representative sample.

The statement is false.

There is no pattern or technique used for selection. The selection is purely random.

  • d) Each subset of the population has an equal chance of being included in the sample.

The statement is false.

Each object of the population has an equal chance of being included in the sample. and not each subset.

  • e) Every sample of size n from the population has a proportionally weighted chance of being selected.

The given statement is false.

8 0
3 years ago
Which is a solution to the equation y = 5x + 1
bija089 [108]

Answer:

(5,26)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What divided by 4 =8
frez [133]
To find the answer, multiply 8 by 4 to get 32. Now divide 32 by 4 and you should get the answer 8. This will make sure that your answer is correct. And so 32 divided by 4 equals 8.

8*4
Multiply
Final Answer: 32

32/4
Divide
Final Answer: 8
8 0
3 years ago
A standard card deck has 52 cards consisting of 26 black and 26 red cards. Three cards are dealt from a shuffled​ deck, without
Alekssandra [29.7K]

Answer:

6 / 51

Step-by-step explanation:

It is false.

Reason:

The probability of picking a black card at first is:

26 / 52 = 1/2

There are now 25 black cards and 51 cards in total.

The probability of picking another black card, if there's no replacement is now:

25 / 51

Now, there are 24 black cards and 50 cards left in total.

The probability of picking a black card without replacement now becomes:

24 / 50 = 12 / 25

Hence, the probability of picking three black cards without replacement is:

1/2 * 25/51 * 12 / 25 = 300 / 2550

In simplest form, it is 6 / 51

7 0
3 years ago
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