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Alenkinab [10]
3 years ago
8

Y=4x+4 -8x+3y=5 With work

Mathematics
1 answer:
Ad libitum [116K]3 years ago
3 0
Y = 4x + 4
-8x + 3y = 5

-8x + 3(4x + 4) = 5
-8x + 12x + 12 = 5
-8x + 12x = 5 - 12
4x = -7
x = -7/4

y = 4x + 4
y = 4(-7/4) + 4
y = -7 + 4
y = -3

solution is (-7/4,-3)
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A 0.45-mm-wide slit is illuminated by light of wavelength 590 nm. What is the width (in mm) of the central maximum on a screen 1
Hitman42 [59]

Answer:

w = \frac{2(590x10^{-9}) (1.5m)}{0.45x10^{-3}}=3.93 x10^{-3} m

And if we convert this into mm we got:

w= 3.93 x10^{-3} m *\frac{1000mm}{1 m}= 3.93 mm

Step-by-step explanation:

For this case we have the following info givenL

\lambda = 590 nm = 590 x10^{-9}m represent the wavelength

s = 0.45 mm *\frac{1m}{1000 mm}= 0.45x10^{-3} m represent the width of the single slit

L = 1.5 m represent the longitude

And we want to find the maximum width of the central maximum in mm, so we can use the following formula:

w s = 2 \lambda L

And if we solve for w the width we got:

w = \frac{2\lambda L}{s}

And replacing we got:

w = \frac{2(590x10^{-9}) (1.5m)}{0.45x10^{-3}}=3.93 x10^{-3} m

And if we convert this into mm we got:

w= 3.93 x10^{-3} m *\frac{1000mm}{1 m}= 3.93 mm

6 0
3 years ago
Reyna runs a textile company that manufactures T-shirts. The profit, p, made by the company is modeled by the function , where s
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I´VE FOUND IN NTERNET   PROFIT

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Then we have

s² + 9*s - 142 > 2000

rearrange that inequation

s² + 9*s  - 142 > 2000      ⇒  s² + 9*s  - 2142  >  0

we complete the expression as a perfect quadratic, with the help of two number that add +9  and multiplying  - 2142

Numbers are  51 and  - 42    

then

factoring that expression as a perfect quadratic

( s + 51 )* ( s - 42 ) > 0

For what  have two solution, and we dismiss the negative value since the numbers of shirts could not be negative, we get

s - 42 > 0

s > 42  the solution

6 0
3 years ago
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