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GenaCL600 [577]
3 years ago
10

Simplify: (3x – 1) (x3 + 2x + 1)

Mathematics
2 answers:
Naddik [55]3 years ago
7 0

Answer:

3x^4-x^3+6x^2+x-1

Step-by-step explanation:

Distribute parentheses:

3xx^3 + 3x * 2x + 3x * 1 + (-1)x^3 + (-1) * 2x + (-1) * 1

Add minus and plus rules:

3x^3x + 3 * 2xx + 3 * 1 * x - 1 * x^3 - 1 * 2x - 1 * 1

Simplify:

3x^4-x^3+6x^2+x-1

pshichka [43]3 years ago
5 0

Answer:

B: 3x4-x3+6x2+x-1

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The answer should be 752

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Divide 188 by .25 and you should get that answer

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3 years ago
The object on the right is made from a square-based pyramid joined to a cuboid.
spayn [35]

Answer:

Density of steel = 80.73 gm/cm^3

Step-by-step explanation:

The figure is made up of cuboid and square pyramid.

Height of cuboid, h = 9 cm

Length of cuboid, l = 6 cm

Width of cuboid, w = 6 cm

Volume of cuboid is given by the formula:

V_{Cuboid} = l \times w \times h

V_{Cuboid} = 6 \times 6 \times 9\\\Rightarrow V_{Cuboid} = 324\ cm^3

Density of Wood , D_{Cuboid}= 0.68g/cm^3

We know that formula of Density is:

Density = \dfrac{Weight}{Volume}

D_{Cuboid} = \dfrac{W_{Cuboid}}{V_{Cuboid}}\\\Rightarrow W_{Cuboid} = V_{Cuboid} \times D_{Cuboid}

Putting the values:

W_{Cuboid} = 324 \times 0.68 = 220.32\ gm

Total weight = W_{Cuboid} + W_{Pyramid}

970 = 220.32 + W_{Pyramid}

W_{Pyramid} = 749.68 gm

Volume of pyramid is given as:

V_{Pyramid}= \dfrac{1}{3} \times \text{Area of Base} \times \text{Vertical Height}

Base is a square with side 6 cm

V_{Pyramid}= \dfrac{1}{3} \times 6 \times 6 \times (17 -9)\\V_{Pyramid}= 96\ cm^3

Density of Steel/Pyramid:

D_{Pyramid} = \dfrac{W_{Pyramid}}{V_{Pyramid}}\\\Rightarrow D_{Pyramid} = \dfrac{749.68}{96}\\\Rightarrow D_{Pyramid} = 80.73\ gm/cm^3

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3 years ago
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