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3 years ago

Factorize 216x^3 + 64y^3

Mathematics

1 answer:

marin [14]3 years ago

5 0

Answer:

8( 3x+2y) ( 9x^2 -6xy +4y^2)

Step-by-step explanation:

216x^3 + 64y^3

Factor out the greatest common factor of 8

8( 27x^3 +8y^3)

Rewriting

8 ( (3x)^3 + (2y)^2))

Recognizing this as the difference of cubes)

a^3 + b^3 = (a+b) (a^2-ab+b^2)

8 ( (3x)^3 + (2y)^2)) = 8( 3x+2y) ( 9x^2 -(3x)(2y) +4y^2)

=8( 3x+2y) ( 9x^2 -6xy +4y^2)

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Please help! I really don't understand!

Varvara68 [4.7K]

A. yes this is a statistical question. it is a statistical question because you can answer the question by collecting data.

b. some clusters are.. 3,4,5, and 6 they are clusters because they are assembled around a particular value. the peak is 6 because it is the highest number it reaches. there are no gaps in this table.

c. to calculate the average with a graph you sum the numbers then divide by the total number of values in the set. for this table you add 1+2+3+3+4+4+4+5+5+5+5+5+5 then you divide by 15.

1+2+3+3+4+4+4+5+5+5+5+5+5=51

51 ÷ 15= 3.4

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2 years ago

Log In a survey of a town, 63% of residents own a car, 20% of residents own a truck, and 4% of residents own both a car and a tr

yan [13]

Answer:

Step-by-step explanation:

Let T= truck

C= Car

We are looking for the probability that someone owns a truck given that they own a car

P(T|C)

The conditional probability formula is as follows:

P(T|C)=(T∩C)/C

plugging in numbers..

.04/.63=6.3492% which rounds to 6%

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2 years ago

WHAT IS THE PRODUCT OF: 7.21 x 4.2<br> PLEASE--

lesantik [10]

<h3><u>QU</u><u>ESTION</u><u>:</u></h3>

WHAT IS THE PRODUCT OF: 7.21 x 4.2

PLEASE--

<h3>SOLUTION AND ANSWER:</h3>

$\: \: \: \: \sf7.2 \: 1 \\ \sf \times \: \: \: \: 4.2 \\ \: \: \sf \overline{1 \: 4 \: 4 \: 2} \\ \sf + \: 2 \: 8 \: 8 \: 4 \: 0 \: \: \: \: \: \\ \sf \overline{ \orange{3 \: 0.2 \: 8 \: 2}}$

THEREFORE, <em><u>30.282</u></em> IS THE PRODUCT

HOPE THIS HELP YOU! HAVE A NICE DAY!

~kimtaetae92~

NOTE: Kindly see this answer from brainly app if you are in web to see the displayed formats here.

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2 years ago

Can you help me with this problem please. I will mark brainlist

schepotkina [342]

Answer:

5.5 pt or 5 1/2 pt

Step-by-step explanation:

A pint is half of a quart, so multiply 2 3/4, or 2.75 by 2, and you'll get your answer. If

6 0

2 years ago

Read 2 more answers

I need help on how to solve this equation C+(4-3c)-2=0 stp by step

Mumz [18]

Step 1- Simplify brackets
c + 4 - 3c -2 = 0
Step 2- Simplify c + 4 - 3c -2 to -2c + 4 - 2
-2c + 4 - 2 = 0
Step 3- Simplify -2c + 4 - 2 to 2c + 2
-2c + 2 = 0
Step 4- Subtract 2 from both sides
-2c = -2
Step 5- Divide both sides by -2
Answer: c = 1

8 0

2 years ago