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Sergeu [11.5K]
3 years ago
11

Rewrite the polynomial expression in factored form: 60x4−12x3−135x2+27x

Mathematics
1 answer:
Jet001 [13]3 years ago
7 0

Answer:

3x(2x - 3)(2x + 3)(5x - 1).

Step-by-step explanation:

60x4 − 12x3 − 135x2 + 27x

= 3x(20x^3 - 4x^2 - 45x + 9)    We can factor what's in the parentheses by grouping:

=  3x(4x^2( 5x - 1) - 9(5x - 1))

= 3x (4x^2 - 9)(5x - 1)                 Now we factors  4x^2 - 9:

= 3x(2x - 3)(2x + 3)(5x - 1).

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Which is the greatest among root 2, 3 root 4 and 4 root 3?
Sveta_85 [38]

Answer:

4^1/3 is greatest among the given

Step-by-step explanation:

√2 , 4^1/3 , 3^1/4

Find the LCM of 2, 3 , 4= 12

i ) √2 =2^1/2 = 2^6/12=(2^6)^1/12

= (64)^1/12

ii ) 4^1/3 = 4^4/12 = (4^4)^1/12

= (256)1/12

iii )3^1/4 = 3^3/12 = ( 3³ )^1/12

= (27)^1/12

Therefore ,

(256)^1/12 > (64)^1/12 > (27)^1/12

4^1/3 > 2^1/2 > 3^1/4

4^1/3 is greatest among the given

number

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2 years ago
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Fiesta28 [93]

Answer:

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Step-by-step explanation:

5 0
2 years ago
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Using the Binomial Probability table, find P(X) when n = 7, X < 3, and p = 0.5 A. 0.273 B. 0.500 C. 0.227 D. 0.773
Nat2105 [25]

Answer:

0.227

Step-by-step explanation:

Given that X is binomial with n=7 and p =0.5

To find the probability for P(X<3)

i.e. we have to find prob as =P(x=0,1,2)

=P(X=0)+P(X=1)+P(x=2)

P(X=r)=7Cr(0.5)^7

Using binomial table we find prob

P(X<3)=0.2265

Round off this to 3 decimals as

0.227

Hence answer is 0.227

8 0
3 years ago
Sebastion has filled a paper grocery bag with food
Studentka2010 [4]

Answer:

1428 cubic inches

Step-by-step explanation:

The volume of a rectangular prism is V = l * w * h, where V represent volume, l is the length, w is the width, and h is the height.

You are given that the length is 12 inches, the width is 7 inches, and the height is 17 inches.

Solve.

V = 12 * 7 * 17

V= 1428 in³

7 0
3 years ago
Write the equation of a vertical line that passes through the point (–4, 4).
FinnZ [79.3K]
The question asks for a vertical line, and if it is vertical, it cannot be y = ... because that is horizontal. We also know it passes through the x-coordinate of -4, so the answer is x = -4. 
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3 years ago
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