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3 years ago

Instructions:

Mathematics

1 answer:

satela [25.4K]3 years ago

5 0

Answer:

The volume of a container is the amount of space in it.

The number of cubes on the edges are: 15, 12 and 13

The number of fish cubes in the box is: 2340

From the complete question (see attachment), we have the following parameters

Fish cubes

Shipping box

(a) The number of cubes on the edges

To do this, we simply the dimensions of the boxes, by the length of the fish cube

So, we have:

Hence, the number of cubes on the edges are: 15, 12 and 13

(b) The total number of cubes in the shipping box

To do this, we multiply the results of the computation in (a)

So, we have:

Hence, the number of fish cubes in the box is: 2340

Step-by-step explanation:

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3 years ago

The polynomial p(x)=3x^3-20x^2+37x-20 has a known factor of (x-4). Rewrite p(x) as a product of linear factors. p(x) =

vesna_86 [32]

Answer:

$p(x) = (3x^{2} - 8x + 5)(x - 4)$

Step-by-step explanation:

p(x) has degree 3

(x - 4) has degree 1

So p(x) can be rewritten as a polynomial of degree 2 multiplying (x-4)

$p(x) = (ax^{2} + bx + c)(x - 4)$

To find a, b and c, we have to divide p(x) by x - 4.

Finding a:

Dividing the first term of p(x) by x - 4.

$\frac{3x^{3}}{x - 4} = 3x^{2}$

So a = 3.

Now multiplying 3x² by, x - 4, we have:

$3x^{2}(x - 4) = 3x^{3} - 12x^{2}$

Subtracting p(x) from this:

$3x^{3} - 20x^{2} + 37x - 20 - (3x^{3} - 12x^{2}) = 3x^{3} - 20x^{2} + 37x - 20 - 3x^{3} + 12x^{2} = -8x^{2} + 37x - 20$

Finding b:

Dividing the first term, after the subtraction, by x - 4.

$\frac{-8x^{2}}{x - 4} = -8x$

So b = -8.

Multiplying -8x by x - 4, we have:

$-8x(x-4) = -8x^{2} + 32x$

Then

$-8x^{2} + 37x - 20 - (-8x^{2} + 32x) = -8x^{2} + 37x - 20 + 8x^{2} - 32x = 5x - 20$

Finding c:

$\frac{5x}{x - 4} = 5$

So c = 5.

Just to verify if the remainder is 0.

$5(x - 4) = 5x - 20$

$5x - 20 - (5x - 20) = 0$

Then:

$p(x) = (ax^{2} + bx + c)(x - 4)$

$p(x) = (3x^{2} - 8x + 5)(x - 4)$

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AveGali [126]

Nine to the fifth power is nine multiplied by nine five times so D. is the answer.

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Answer:

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Step-by-step explanation:

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3 years ago

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monitta

Answer:

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Step-by-step explanation:

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3 years ago