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frosja888 [35]
2 years ago
7

2) f(x) = 27x^6+ 1524x^3+125

Mathematics
1 answer:
Norma-Jean [14]2 years ago
8 0

Answer:

Step-by-step explanation:

Let x^3 = y

f(x) = 27(x^3)^2 + 1524(x^3) + 125

f(x) = 27 y^2 + 1524y + 125

You can now put this into the quadratic formula. When you do, you get

(y + 0.0821)(y+56.3623) = 0

So now you substitute x^3 into this

(x^3 + 0.0821)(x^3 + 56.3623)

x^3 + 0.0821 = 0

x^3 = - 0.0821

cuberoot x^3 = cube root 0.0821

x = - 0.4346

x^3 = - 56.3623

x = - 3.8341

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kolezko [41]

Answer:

The answer is 2940

Step-by-step explanation:

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6 0
3 years ago
Y varies directly as x and inversely as the square of z. y equals 10 when x equals 36 and z equals 6. Find y when x equals 2 and
Ilia_Sergeevich [38]

Answer:

y = 20

Step-by-step explanation:

y =  \frac{kz}{x}  \\ 10 =  \frac{6k}{36}  \\ \frac{6k}{6}  = \frac{360}{6} \\ k= 60 \\  y =  \frac{4(60)}{2}  \\ y =  \frac{240}{2}  \\ y = 120

If this is right, then please make it the brainliest.

7 0
3 years ago
Suppose you are putting up a tent for a camping trip.
SSSSS [86.1K]

The length of the rope needed is 15 feet

Given the following parameters;

  • Height of the pole = 9 foot
  • The distance from the <u>rope away from the base </u>of the pole is 12 feet

Required

  • Length of the rope.

To get the length of the rope, you will use the pythagoras theorem expressed as:

  • c² = a² + b²

Substituting the given parameters:

c² = 9² + 12²

c² =81 + 144

c² = 225

c = √225

c = 15 feet

Therefore the length of the rope needed is 15 feet

Learn more on Pythagoras theorem here: brainly.com/question/231802

7 0
2 years ago
If the rectangular menu is 3 feet long by 2 feet wide , what is the area of the menu?
Bess [88]

area = length * width

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4 0
2 years ago
One of the skylights on the roof of Bianca’s building is in the shape of the solid below.
luda_lava [24]

Answer:

588 sq. in.

Step-by-step explanation:

The total volume of air inside the skylight is in the shape of a pyramid, not the rectangular prism at the bottom.

So, if we look at the pyramid, it has a square base with dimensions 14 x 14. Its height is 11 - 2 = 9.

Formula for volume of a pyramid is:

V = 1/3 * Area of Base * height

Area of Base (since it is a square) = 14 * 14 = 196

Height is 9

<em>plugging into the formula, we get:</em>

<em>V=\frac{1}{3}*BaseArea*height\\=\frac{1}{3}*196*9\\=588</em>

<em />

<em>Hence, volume is 588 sq. in.</em>

8 0
3 years ago
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