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kotegsom [21]
3 years ago
5

Please help me with thiswhat is x?

Mathematics
1 answer:
OleMash [197]3 years ago
5 0

Answer:

27

Step-by-step explanation:

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1) The dimensions of an irregular solid are as shown in the figure below.
Juliette [100K]

Hello,

a) Volume of the figure = Volume of light blue rectangular parallelepiped - volume of dark blue rectangular parallelepiped

Volume of rectangular parallelepiped = lengh × high × height

Volume of light blue rectangular parallelepiped :

V = (x + 2) × (x + 5) × (2x + 1)

V = (x² + 5x + 2x + 10) × (2x + 1)

V = (x² + 7x + 10) × (2x + 1)

V = 2x³ + 15x² + 27x + 10

<u>Volume of dark blue rectangular parallelepiped :</u>

V = x × 3 × (x + 5)

V = 3x(x + 5)

V = 3x² + 15x

Polynomial function, in standard form, to model the volume of this solid :

V = 2x³ + 15x² + 27x + 10 - (3x² + 15x)

V = 2x³ + 15x² - 3x² + 27x - 15x + 10

V = 2x³ + 12x² + 12x + 10

b) We have to solve 2x³ + 12x² + 12x + 10 = 208

⇔ 2x³ + 12x² + 12x - 198 = 0

⇔ 2(x - 3)(x² + 9x + 33) = 0

⇔ x = 3 or x² + 9x + 33 = 0

a = 1 ; b = 9 ; c = 33

Δ = b² - 4ac = 9² - 4 × 1 × 33 = -51 < 0 ⇔ Δ < 0 ⇒ no solution

So if the volume of the solid is 208 cubic inches, the value of x is 3

8 0
2 years ago
Which expression is equvialent to 2x2 + (4x-6x2) + 9 - (6x+3)?
stepladder [879]
Hello there!

The correct answer is option B


2x² + (4x - 6x²) + 9 - (6x + 3)

Just take them out of the parentheses

2x² + 4x - 6x² + 9 -6x - 3

Combine like terms

2x² - 6x² + 4x - 6x - 3 + 9

= -4x² - 2x + 6

Thus,

The correct answer is option B
5 0
3 years ago
-6 (x + 1) ≥ 27 I need help
earnstyle [38]

Answer:

i dont know

Step-by-step explanation:

7 0
2 years ago
Skylar needs $56 to buy a new video game. If he doubles the amount of money he has now, he will have enough to buy the game with
Semenov [28]
Skylar have 66 Dollars left
7 0
3 years ago
What is the difference between Glasgow and Copenhagen. (Glasgow= -7.8 Copenhagen=-3.8)
spayn [35]

Answer:

36

Step-by-step explanation:

because it is

3 0
3 years ago
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