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3 years ago

Factor completely. 6x^4-9x^3-36x^2+54x

Mathematics

2 answers:

aniked [119]3 years ago

8 0

Answer:

3x(2x−3)(x2−6)

Step-by-step explanation:

siniylev [52]3 years ago

5 0

Answer:

3x(2x - 3)(x^2 - 6)

Step-by-step explanation:

6x^4 - 9x^3 - 36x^2 + 54x =

First, factor out the largest common factor of all terms. It is 3x.

= 3x(2x^3 - 3x^2 - 12x + 18)

Now you have 4 terms inside the parentheses. Try factoring by grouping. Factor a the largest common factor out of the first two terms, and factor the largest common factor out of the last two terms.

= 3x[x^2(2x - 3) - 6(2x - 3)]

Now you have a common term of (2x - 3), so factor that out.

= 3x(2x - 3)(x^2 - 6)

Factoring means factoring completely, so we look at each factor to see if it can be factored further. Let's look at each factor.

3x is not factorable.

2x - 3 is not factorable.

x^2 - 6 is a difference, but since 6 is not a perfect square, it is not a difference of squares, so it cannot be factored.

Answer: 3x(2x - 3)(x^2 - 6)

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kirza4 [7]

Answer:

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Step-by-step explanation:

For the original cylinder, we can say that the volume of a cylinder is equal to V= πr²h. For this cylinder, we can say that V = π * radius² * height. The radius is equal to 1/2 of the diameter, so the original radius is 8/2 = 4. Therefore, the volume of the original cylinder is V = π * radius² * height = π * 4² * 8 = π * 16 * 8 = π * 128

For the new cylinder, "twice as wide" means that the diameter is twice as big as the original one. Half the height means that the height is halved. The new diameter is therefore 8 * 2 = 16 (meaning that the new radius is 16/2=8) while the new height is 8/2 = 4. The new volume is thus

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To see how much larger the new tank volume is, we can divide (new tank volume) by (old tank volume), resulting in

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3 years ago

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Step-by-step explanation:

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3 years ago

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Brrunno [24]

Answer:

Step-by-step explanation:

Given that n =30, x bar = 375 and sigma = 81

Normal distribution is assumed and population std dev is known

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For 95% Z critical=1.96

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Answer:

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