Answer:
x (2 x^2 + 4 x - 1)
Step-by-step explanation:
Factor the following:
2 x^3 + 4 x^2 - x
Factor x out of 2 x^3 + 4 x^2 - x:
Answer: x (2 x^2 + 4 x - 1)
The points which satisfy the inequalities in discuss are; Choices D (7,10) and F(8,17).
<h3>Which points omg the answer choices satisfy the system of inequalities?</h3>
It follows from the inequality; x > 5.
Also, substituting 5 for x in; y < 2(x); we have;
y < 10.
Hence, the points which satisfy the inequalities are; (8,17) and (7,10).
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Answer:
AB = 14
Step-by-step explanation:
We can add the segments together to find the total
AB + BC = AC
This will allow us to find x
4x+2 + 3x-1 = 22
Combine like terms
7x +1 = 22
Subtract 1 from each side
7x+1-1 = 22-1
7x = 21
Divide by 7
7x/7 = 21/7
x = 3
Now we can find the length of AB
AB = 4x+2 = 4(3)+2 = 12+2 = 14
The thickness of the non-reflective coating layer is 9.62 x 10¯⁸ m or 96.2 nm.
From the question we know that :
n = 1.30
λ = 500nm = 5 x 10¯⁷m
The non-reflective coating system is applied on glass and the refractive index of that system should be <em>nair</em> < <em>ncoating</em> < <em>nglass. </em>The light travels across the air and is refracted by coating film and then refracted again by the glass. For preventing the light got reflected by glass, the thickness of the layer should obey this equation :
2nt = λ/2
t is the thickness of the layer, λ is the wavelength and n is the refractive index of the film.
By substituting the following equation we get
2nt = λ/2
t = 1/4 . ( λ / n )
t = 1/4 . ( 5 x 10¯⁷ / 1.3)
t = 9.62 x 10¯⁸ m
Hence, the thickness of the non-reflective coating layer is 9.62 x 10¯⁸ m or 96.2 nm.
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Answer:
this equation would be 2(c-8)=3
