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3 years ago

Determine the linear factors for 27x^3-12x

Mathematics

1 answer:

Kitty [74]3 years ago

6 0

27x^3 - 12x factors into

3(9x^3 - 4x) a common factor of three has been taken out.

3x(9x^2 - 4) a common factor of x has been taken out. 3x is not a linear factor.

9x^2 - 4 factors by means of the difference of squares

3x(3x - 2)(3x + 2)

The two linear factors are 3x - 2 and 3x + 2

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nordsb [41]

Answer:

volume=pi times r^2 height÷3.

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3 years ago

Suppose Evan is trying to build a frame out of popsicle sticks x inches long. The frame will have length (2x – 3) and width of (

erik [133]

Answer:

The correct option is A) 3 square inches; $2x^2-7x+6$ .

Step-by-step explanation:

It is given that the length of the frame is (2x-3) and the width is (x-2)

The area of the rectangle is: $A=l\times w$

Where, A is the area l is the length and w is the width of the rectangle.

Put $l=(2x-3)$ and $w=(x-2)$ in the area of the rectangle.

$A=(2x-3)(x-2)\\A=2x^2-4x-3x+6\\A=2x^2-7x+6$

The area of the frame expressed as a polynomial is $2x^2-7x+6$ .

Now substitute x=3 in $A=2x^2-7x+6$ .

$A=2(3)^2-7(3)+6\\A=18-21+6\\A=3$

The area of the frame is 3 square inches.

Hence, the correct option is A) 3 square inches; $2x^2-7x+6$ .

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3 years ago

What is y=-4/3x +6. y=2

Mekhanik [1.2K]

The given equation is:
[/tex]y=-\frac{4}{3}x+6 [/tex] and we need to evaluate this for y=2.
So, first step is to plug in 2 for y in the above equation. Therefore,

$2=-\frac{4}{3} x+6$
$2*3=-\frac{4}{3} x*3+6*3$ Multiply each sides by common denominator 3
$6=-4x+18$
6-18= -4x Subtract 18 from each sides.
-12=-4x
$-\frac{12}{-4} =-\frac{4x}{-4}$
So, x=3

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3 years ago