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-BARSIC- [3]
3 years ago
15

How would the expression x^3-8 be rewritten using difference of cubes ​

Mathematics
2 answers:
LUCKY_DIMON [66]3 years ago
6 0

Answer:

(x - 2)(x² + 2x + 4)

Step-by-step explanation:

A difference of cubes factors in general as

• a³ - b³ = (a - b)(a² + ab + b² )

note 8 = 2³ = 8 ⇒ b = 2 , with a = x

Hence

x³ - 8

= x³ - 2³

= (x - 2)(x² + 2x + 2²) = (x - 2)(x² + 2x + 4)

choli [55]3 years ago
3 0

Answer: The rewritten expression would be (x-2)(x^2+2x+4)

Step-by-step explanation:

Since we have given that

x^3-8

We need to use the difference of cubes:

As we know the formula of "Difference of cubes":

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

So, it can be written as

(x)^3-(2)^3=(x-2)(x^2+2x+4)

Hence, the rewritten expression would be (x-2)(x^2+2x+4)

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3 years ago
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A sample of blood pressure measurements is taken for a group of​ adults, and those values​ (mm Hg) are listed below. The values
nika2105 [10]

Answer:

For systolic pressure data:

\bar X =127.2\\\\S=17.91668\\\\CV=\frac{17.91668}{127.2}=0.14085

For diastolic pressure data:

\bar X =73.5\\\\S=12.54\\\\CV=\frac{73.5}{12.54}=0.17061

Systolic pressure is slightly less variable, among individuals in the sample, than diastolic pressure.

Step-by-step explanation:

The coefficient of variation is defined as the percentage relative variation of a set of data with respect to its average. And it is calculated like this:

CV=\frac{\bar X}{S}

S =\sqrt{\frac{1}{n-1} \sum_{i=1}^n (x_i-\bar{x})^2

\bar X={\frac{1}{n} \sum_{i=1}^n x_i

For systolic pressure data:

\bar X =127.2\\\\S=17.91668\\\\CV=\frac{17.91668}{127.2}=0.14085

For diastolic pressure data:

\bar X =73.5\\\\S=12.54\\\\CV=\frac{12.54}{73.5}=0.17061

It is observed that the systolic pressure shows greater standard deviation but less coefficient of variation. This is due to the greater magnitude of its measurement scale.

Systolic pressure is slightly less variable, among individuals in the sample, than diastolic pressure.

7 0
3 years ago
Find the length of side BC. Round your answer to the nearest tenth.
Bogdan [553]

Answer: 5.4

Step-by-step explanation:

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What is the percent for 1/10?
sweet [91]

Answer:

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Step-by-step explanation:

because 7/10 would be 70% 4/10 would be 40% right?

7 0
2 years ago
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Best explained and correct answer gets brainliest.
topjm [15]
U = (-2,3)

V = (3,0)

midpoint of UV

= ( (3-2)/2 , (3+0)/2 )

= ( 1/2 , 3/2)

= ( 0.5 , 1.5)

X = (0.5 , 1.5) [from fig]

midpoint of UV = X

W= (-2,-3)

V =( 3.0)

Y = ( (-2+3)/2 , (-3+0)/2 )

= (0.5 , - 1.5)

Y = ( 0.5 , -1.5) [ from fig ]

Y is the midpoint of WV

by midpoint theorem ,

UW = 2( XY )
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3 years ago
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