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3 years ago

(3x^2)(4x)=12x^3 is 3x^2 a factor of 12x^3

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

6 0

Answer:

(3x2 + 1) • (4x - 1)

Step-by-step explanation:

Equation at the end of step 1 :

(((12 • (x3)) - 3x2) + 4x) - 1

Equation at the end of step 2 :

(((22•3x3) - 3x2) + 4x) - 1

Checking for a perfect cube :

12x3-3x2+4x-1 is not a perfect cube

Trying to factor by pulling out :

Factoring: 12x3-3x2+4x-1

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: 4x-1

Group 2: 12x3-3x2

Pull out from each group separately :

Group 1: (4x-1) • (1)

Group 2: (4x-1) • (3x2)

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Add up the two groups :

(4x-1) • (3x2+1)

Final result :

(3x2 + 1) • (4x - 1)

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How do I solve this?

Korolek [52]

(x−8)2=(x+−8)(x+−8)=(x)(x)+(x)(−8)+(−8)(x)+(−8)(−8)=x2−8x−8x+64=x2−16x+64

(x−8)2=x2−82Step 1: Simplify both sides of the equation.x2−16x+64=x2−64Step 2: Subtract x^2 from both sides.x2−16x+64−x2=x2−64−x2−16x+64=−64Step 3: Subtract 64 from both sides.−16x+64−64=−64−64−16x=−128Step 4: Divide both sides by -16.−16x−16=−128−16x=8

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3 years ago

Solve the equation below. SHOW ALL WORK! 5(x − 2) = 40

eimsori [14]

Answer:

Ans is downward

Step-by-step explanation:

Hope it helps u

plz mark as brainlist

3 0

3 years ago

Meldie made a cube whose side is (3x - 2) inches. Find its volume in cubic inches.

irinina [24]

Answer:

x^2(3x-2) cubic inches OR in^3

3x { 3 [ 3x ( x - 2 ) + 4 ] } - 8 cubic inches OR in^3

I AM UNAWARE IF YOU ASKED THAT ONE SIDE IS (3X-2) OR ALL. I WILL ANSWER BOTH PARTS

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NOTE: '^' MEANS TO THE POWER OF..

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Volume = v, abc = 3 sides of cube (height, width, length)

Using the formula for volume in a cube,

$v = abc$

We can solve this.

If one side is (3x-2)in,

(3x-2)(x)(x) = v.... x are the other two sides
x^2(3x-2) = v

x^2(3x-2) cubic inches OR in^3

If all sides are (3x-2)in,

Use the formula,

$(a - b) ^{3} = {a}^{3} + 3ab(b - a) - {b}^{3}$

We can solve this.

(3x-2)(3x-2)(3x-2) = v
(3x-2)^3 = v.... 3x = a and -2 = b
(3x)^3 + [(3)(3x)(2)][2-3x] - (2)^3 = v
27x^3 + 18x(2-3x) -8 = v
(27x^3 + 36x - 54x^2) - 8 = v.. Terms inside brackets - take 3x as common and leave out 8
3x(9x^2 -18x +12) = v... Take 3 as common again in the brackets
3x [ 3 ([3x^2 -6x] + 4) -8 = v....Take 3x common in the terms in square brackets
3x [ 3 [ 3x (x-2) + 4 ]] - 8 = v
3x { 3 [ 3x ( x - 2 ) + 4 ] } - 8 = v

3x { 3 [ 3x ( x - 2 ) + 4 ] } - 8 cubic inches OR in^3

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If you have any questions regarding formulas or anything, comment and I will get back to you asap.

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5 0

1 year ago

This problem demonstrates the concept of redundancy, the principle of improving reliability of systems by using redundant or bac

AysviL [449]

Answer:

hello,

Step-by-step explanation:

p(fail)=0.05

p(not fail)=1-0.05=0.95

p(3 fails)=0.05³=0,000125

p(1 or more system not fail)=1-0.05³=0.999875

it increase the security.( here 4/100 for 3 systems)

3 0

3 years ago

We can describe 12x – 8 as an expression.

never [62]

Answer:4 and 3x-2 are roots of 12x-8.

Step-by-step explanation: Expression contains no equality sign

7 0

3 years ago