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Elis [28]
3 years ago
5

Which product of prime polynomials is equivalent to 8x3 – 2x?

Mathematics
2 answers:
Alexxx [7]3 years ago
7 0
2x2(2x+1)(2x-1) this is the answer I got.
d1i1m1o1n [39]3 years ago
5 0

Answer:

The factor form of the given polynomial is 2x(2x-1)(2x+1)

Step-by-step explanation:

The given expression is

8x^3-2x

Taking out the common factor 2x.

8x^3-2x=2x(4x^2-1)

8x^3-2x=2x((2x)^2-(1)^2)

Using the algebraic formula:

a^2-b^2=(a-b)(a+b)

We get,

8x^3-2x=2x(2x-1)(2x+1)

All the factors are prime polynomial because they can not be factored further.

Therefore the factor form of the given polynomial is 2x(2x-1)(2x+1).

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A movie theater has a 24​-foot-high screen located 6 feet above your eye level. If you sit x feet back from the​ screen, your vi
pantera1 [17]

Answer:

The viewing angles are as follows:

For x=5 feet, θ = 0.529 radians

For x=10 feet, θ = 0.708 radians

For x=15 feet, θ = 0.726 radians

For x=20 feet, θ = 0.691 radians

For x=25 feet, θ = 0.640 radians

Step-by-step explanation:

The viewing angle is given as:

θ = tan⁻¹(30/x) - tan⁻¹ (6/x)

where x is the distance between you and the screen.

The question is asking us to find the viewing angle θ at various distances. The distance value needs to be substituted in the above equation in place of x. So,

<u>For x=5 feet:</u>

θ = tan⁻¹(30/5) - tan⁻¹ (6/5)

  = 1.4056 - 0.8761

θ = 0.529 radians

<u>For x = 10 feet:</u>

θ = tan⁻¹(30/10) - tan⁻¹ (6/10)

  = 1.249 - 0.540

θ = 0.708 radians

<u>For x = 15 feet:</u>

θ = tan⁻¹(30/15) - tan⁻¹ (6/15)

  = 1.107 - 0.380

θ = 0.726 radians

<u>For x = 20 feet:</u>

θ = tan⁻¹(30/20) - tan⁻¹ (6/20)

  = 0.983 - 0.291

θ = 0.691 radians

<u>For x = 25 feet:</u>

θ = tan⁻¹(30/25) - tan⁻¹ (6/25)

  = 0.876 - 0.235

θ = 0.640 radians

5 0
3 years ago
ASAP!!! ILL MARK BRAINIEST!!!The expression on the left side of an equation is shown below. 3 x + 9 = box If the equation has no
AleksandrR [38]

Answer:

C. 3x

Step-by-step explanation:

The first two choices give 1 solution each.

The last choice gives an infinite number of solutions.

Choice C. gives no solution.

3x + 9 = 3x

Subtract 3x from both sides.

9 = 0

Since 9 = 0 is false, equation 3x + 9 = 3x has no solution.

Step-by-step explanation:

4 0
3 years ago
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Sever21 [200]

D. Your immune system is trying to combat pathogens.

please mark brainliest. :)

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3 years ago
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A sequence is defined by the recursive function
Oxana [17]

Answer:

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2 years ago
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Dahasolnce [82]

Answer:

C. 62

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