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Blababa [14]
1 year ago
5

Factorise: 27x^3 - 1/216 -9/2x^2 +1/4x

Mathematics
1 answer:
g100num [7]1 year ago
7 0

Answer:

Hello,

Step-by-step explanation:

27x^3-\dfrac{9}{2}x^2+\dfrac{1}{4}x-\dfrac{1}{216}   \\\\=(3x)^3-3*(3x)^2*\dfrac{1}{6} +3*(3x)*(\dfrac{1}{6} )^2-(\dfrac{1}{6} )^3\\\\=\boxed{(3x-\dfrac{1}{6} )^3}

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1 1/3 is greater than blank and less then blank
disa [49]

Answer:

1

7 0
3 years ago
Which line segment is a diameter of circle F?<br><br> FE<br><br> BA<br><br> AC<br><br> EC
umka21 [38]

option c) The line segment AC is the diameter of circle F.

<u>Step-by-step explanation</u>:

  • The 'diameter' is the line segment that passes through the center of the circle.
  • In the circle shown, F is the center of the circle.
  • The line segments EB and AC passes through the center point F.
  • Therefore, both EB and AC are the diameters of the given circle.
  • From the options given, option c) AC is the correct answer.
5 0
3 years ago
Cuanto es 12 + 1? Porfavor es para mi tarea de matemáticas.
Nastasia [14]

Answer:

13

is your answer

Step-by-step explanation:

6 0
2 years ago
Veronica is self employed. In one year, Veronica generates a gross income of $65,500. When calculating her taxes, Veronica is al
butalik [34]

Answer:

$44,850

Step-by-step explanation:

Gross income is $65,500

Allowable deductions are $2,500

Operating income is $65,500-$2,500=$63,000

From the given tax structure, Veronia will pay 15% for the first $25,000 then 30% for $63,000-$25,000=$38,000

Tax will be (0.15*$25,000)+(0.3*$38,000)=$15,150

Remaining expenses will be $5,500-$2,500=$3,000

Income after tax will be $63,000-$15,150=$47,850

Net income=$47,850-$3,000=$44,850

<u>Ans=$44,850</u>

7 0
3 years ago
Diego is thinking of two positive numbers. He says, 'If we triple the first number and double the second number, the sum is 34.'
UNO [17]

1st number: 0

2nd number: 17

Answer

Step-by-step explanation:

3x+2y=34 x is the first number, y is the second.

1/2x+2y=34 multiply each number by two to get rid of the integer by the variable x.

x+4y=68 solve for x.

x=68-4y add this into the first equation to solve for variable y.

3(68-4y)+2y=34 solve for y.

204-10y=34

-10y= -170

y=17

now to solve for x

x= 68-4(17)

x= 0

8 0
3 years ago
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