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3 years ago

BONUS, Factor 1 - 64x^3 completely,

Mathematics

1 answer:

kvv77 [185]3 years ago

6 0

Rewrite then factor as a difference of cubes:

1 - 64x³ = 1³ - (4x)³

= (1 - 4x) (1² + 4x + (4x)²)

= (1 - 4x) (1 + 4x + 16x²)

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What is the simplified value of the expression below? -8*(-3) 1-24 -11 11 24

mestny [16]

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

Translate to a quadratic equation, then solve using the quadratic formula. The length of a rectangular air filter is 3 inches l

balu736 [363]

Answer:

Width of the rectangle = 17 inches

Length of the rectangle = 31 inches

Step-by-step explanation:

Let w be the width of the rectangle.

Given:

Width of the rectangle = w

Length of the rectangle = 2w - 3

Area of the rectangle $=527\ inches^{2}$

Solution:

We know that the area of the rectangle.

$Area\ of\ rectangle = length\times width$

$w(2w-3)=527$

$2w^{2}-3w-527=0$

Now, we first find the root of the above equation.

Use quadratic formula with $a=2, b=-3, c=-527$ .

$t=\frac{-b\pm \sqrt{(b)^{2}-4ac}}{2a}$

Put a, b and c value in above equation.

$w=\frac{-(-3)\pm \sqrt{(-3)^{2}-4(2)(-527)}}{2(2)}$

$w=\frac{3\pm \sqrt{9+8\times 527}}{4}$

$w=\frac{3\pm \sqrt{9+4216}}{4}$

$w=\frac{3\pm \sqrt{4225}}{4}$

$w=\frac{3\pm 65}{4}$

For positive sign

$w=\frac{68}{4}$

w = 17 inches

So, width of the rectangle is 17 inches.

Length of the rectangle.

$Length = 2\times w-3$

$Length = 2\times 17-3$

$Length = 34-3$

Length = 31 inches

So, length of the rectangle is 31 inches.

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3 years ago

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What is the radius of the Brazilian coin that has a circumference of 84.78 mm? Explain your work. Use 3.14 pi

ICE Princess25 [194]

Hey there!

Sorry If this answer is late, but here ya go.

To find the radius of this Brazilian coin, first multiply 3.14 by 2. This will give you and answer of 6.28. Then, divide 84.78 mm by this, and you will get your radius of 13.5.

Have a good day! And stay CRAZZZY! :D

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3 years ago

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