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Ilia_Sergeevich [38]
3 years ago
5

Help- this literally makes no sense

Mathematics
1 answer:
galina1969 [7]3 years ago
7 0

9514 1404 393

Answer:

  (4x -11)

Step-by-step explanation:

The volume of a rectangular prism is the product of its length, width, and height dimensions. Given any two, the third can be found by dividing the volume by the product of the given dimensions.

  V = LWH

  V/(LW) = H

If we substitute the given information, we have ...

  (4x³ +5x² -32x -33)/((x+1)(x +3)) = <missing dimension>

Suppose the missing dimension is a factor of the form (ax+b). Then you have ...

  (ax +b)(x +1)(x +3) = 4x³ +5x² -32x -33

We could do some polynomial long division, or some synthetic division, to figure this out. However, we can take a couple of shortcuts.

The product of binomial constants must be -33:

  b(1)(3) = -33

  b = -33/3 = -11

The product of x-terms must be 4x³:

  (ax)(x)(x) = 4x³

  a = 4x³/x³ = 4

The most sensible third dimension of the figure is ...

  (4x -11)

__

<em>Check</em>

The product of the two given factors is (x+1)(x+3) = x² +4x +3. We expect that multiplying this by (4x -11) will result in 4x³ +5x² -32x -33. We developed our answer by looking at the first and last terms of the product. We can check our answer by looking at the middle two.

The x² term of the product (4x -11)(x² +4x +3) will be ...

  -11(x²) +4x(4x) = x²(-11 +16) = 5x² . . .  matches the desired product term

The x term of the product will be ...

  -11(4x) +4x(3) = x(-44 +12) = -32x  . . .  matches the desired product term

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Step-by-step explanation:

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Answer:

  • Since the question is incomplete, see the figure attached and the explanation below.

Explanation:

Since the figure is missing, I enclose the figure of a square inscribed in a circle.

Since the <em>area of a square</em> is the side length squared, you can determine the side length:

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        side\text{ }length=\sqrt{100cm^2}=10cm

From the side length, you can find the diagonal of the square, which is equal to the diameter of the circle, using the Pythagorean theorem:

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         diagonal=\sqrt{2\times (10cm)^2}\\ \\ diagonal=10\sqrt{2} cm

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6 0
2 years ago
Maria works as a part- time waitress and earns $30 per day plus 2% of all sales of food and drinks during the day
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Answer:

y = 30 + 0.02x

Step-by-step explanation:

Required

Write an equation to present her daily earnings?

Let daily sales be represented by x and daily earnings be represented by y.

y is calculated as thus;

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Answer:

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Step-by-step explanation:

if each partner has a even number of money from 1.6 million, that each person had $100,000, and to pay the lawsuit evenly than each person will have to pay $6250.

1.6 mill divided by 16= 100,000

6 mill divided by 16= 6250.

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Answer:

38.6%

Step-by-step explanation:

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