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forsale [732]
3 years ago
13

How do I perform this operation?x^2(x-2) + x(x-2)^2

Mathematics
1 answer:
Alecsey [184]3 years ago
4 0

To perform the operation indicated in x²(x - 2) + x(x - 2)², we have to factor. The terms we see common in each of these terms is x(x - 2). Now we need to factor it out. The expression becomes:

[x(x-2)][(x)+(x-2)] The first bracket has the term factored out and the second bracket has the remainder from each term.

Simplifying this further gives us our answer of:

x(x-2)(2x-2)

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Step-by-step explanation:

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Pls help me I don't understand!!!!!!!!
jeka57 [31]

Answer:

X=SMALL BOX.

Y=LARGE BOX

THEREFORE,X+Y=21

X=21-Y

THEREFORE,25(21-Y)+70Y=1110 POUNDS

525-25Y+70Y=1110

525+45Y=1110

45Y=1110-525

45Y=585

Y=585/45

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3 0
3 years ago
Read 2 more answers
A card is being drawn from a standard deck of playing cards. Find each probability.
EastWind [94]
These are 6 questions and 6 answers.

To find each probability we will use the definition of probability:

Probability = number of positive outcomes / number of total possible outcomes

1) <span>P(Jack or ten)
</span>

<span>Answer: 2/13 ≈ 0.12
</span>

Justification:

i) Positive outcomes: A standard deck of cards has 4 jacks and 4 tens, then those are 4 + 4 = 8 different positive outcomes.

ii) Possible outcomes: a standard deck of cards has 52 different cards, so, that is a total of 52 different possible outcomes

 
iii) Probability, P


P = number of positive outcomes / number of total possible outcomes

P = 8 / 52 = 2/13 ≈ 0.15

<span> 2.P(red or black)
</span>

Answer: 1

Justification:

i) Positive outcomes

Half of the cards are red and half of the cards are black, so they both add for the total of the cards = 52


ii) Possible outcomes: 52 cards


iii) Probaility, P 

P = number of positive outcomes / number of total possible outcomes

P = 52 / 52 = 1

<span> 3.P(queen or club)
</span>

Answer: 4/13 ≈ 0.31

Justification:


i) Positive outcomes

There are 4 Queens.

There are 1/4 of 52 clubs = 1/4 × 52 = 13 clubs.

But you cannot add all of them, because one club is the Quenn of Clubs.

Then, the total number of different Queens and clubs is 4 + 13 - 1 = 16



ii) Possible outcomes: 52 different cards


iii) Probaility, P

P = number of positive outcomes / number of total possible outcomes

P = 16 /52 = 4 / 13 ≈ 0.31


<span> 4.P(red or ace)
</span>

Answer: 7 / 13 ≈ 0.54


Justification:


i) Positive outcomes

Half of the cards are red: 26

There are 4 aces. 

Since 2 aces are red, the number of different red and aces cards is: 26 + 4 - 2 = 28

ii) Possible outcomes: 52 different outcomes


iii) Probaility, P

P = number of positive outcomes / number of total possible outcomes

P = 28 / 52 = 7 / 13 ≈ 0.54

<span> 5.P(diamond or black)
</span><span>
</span>
Answer: 1/2 = 0.5

Justification:

i) Positive outcomes

There are 52 / 4 = 13 diamonds

There are 26 black cards.


All the diamonds are black cards.

Then, the number of different diamond or black cards is 13 + 26 - 13 = 26

ii) Possible outcomes: 52 different cards.

iii) Probaility, P

P = number of positive outcomes / number of total possible outcomes

P = 26 / 52 = 1/2 = 0.5

6.P(face card or spade)

Answer: 11/26 ≈ 0.42


Justification:

i) Positive outcomes

Face cards are jacks, queens and kings. That is 3 × 4 = 12 different cards.

The spades are 13 cards.

Since, 3 of the faces are spade cards, the number of different cards of those types are 12 + 13 - 3 = 22


ii) Possible outcomes: 52 different cards


iii) Probaility, P

P = number of positive outcomes / number of total possible outcomes

P = 22 / 52 = 11 / 26 ≈ 0.42
4 0
3 years ago
In each of the following word problems, the question is missing. Write a possible question for each word problem.
garik1379 [7]

The question that can complete the given word problem is, The material comes in pieces of 5 years each. <em>How many </em><em>pieces</em><em> of </em><em>materials </em><em>are needed to </em><em>make a coat</em><em>?</em>

<h3>What question can be formed?</h3><h3 />

You are given the number of yards that are needed to make a coat so the question should be centered around that.

Questions that go best with such information are those that have to do with solving for the number of materials that would be needed to make the coat.

You can therefore supply the length of each piece of material, and then find out how many materials would then be needed to make a coat.

Find out more on formulating questions at brainly.com/question/11876376.

#SPJ1

4 0
2 years ago
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