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Anna [14]
3 years ago
11

4(2x - 2) + 2 = 4(x - 2)

Mathematics
2 answers:
andreev551 [17]3 years ago
8 0

Answer:

X=-1/2

Step-by-step explanation:

Hope this helps. Plz give brainliest.

Arada [10]3 years ago
3 0

Answer:

x = -1/2 or -0.5

Step-by-step explanation:

4(2x - 2) + 2 = 4(x - 2)

<em>open the parenthesis</em>

8x - 8 + 2 = 4x - 8

<em>add 8 to both sides of the equation</em>

8x - 8 + 2 + 8 = 4x - 8 + 8

<em>combine like terms</em>

8x + 2 = 4x

<em>subtract 4x from both sides of the equation</em>

8x - 4x + 2 = 0

4x + 2 = 0

<em>subtract 2 from both sides of the equation</em>

4x + 2 - 2 = 0 -2

4x = -2

<em>divide both sides by 4</em>

4x/4 = -2/4

x = -1/2

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ducational Television In a random sample of people, said that they watched educational television. Find the confidence interval
SIZIF [17.4K]

Complete Question

Educational Television In a random sample of 200 people, 159 said that they watched educational television. Find the 90% confidence interval of the true proportion of people who watched educational television. Round the answers to at least three decimal places.

Answer:

The 90% confidence interval is   0.748  <  p <  0.842      

Step-by-step explanation:

From the question we are told that

     The sample size is  n = 200

     The number of people that watched the educational television is k =  159

Generally the sample proportion is mathematically represented as

               \^ p =  \frac{159}{200}

=>               \^ p =  0.795

From the question we are told the confidence level is  90% , hence the level of significance is    

      \alpha = (100 - 90) \%

=>   \alpha = 0.10

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.645

Generally the margin of error is mathematically represented as  

     E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }

=>     E =  1.645  * \sqrt{\frac{0.795 (1- 0.795)}{200} }

=>     E = 0.04696

Generally 95% confidence interval is mathematically represented as  

      \^ p -E <  p <  \^ p +E

=>    0.795  -0.04696  <  p <  0.795 + 0.04696

=>    0.748  <  p <  0.842      

3 0
3 years ago
Suppose xy=4 and dy/dt=-2. Find dx/dt when x=-3
nirvana33 [79]
Dy/dx = dy/dt  *   dt/dx

xy = 4

y + x(dy/dx) = 0      by implicit differentiation. 

x(dy/dx) = -y

dy/dx = -y/x

<span>dy/dx = dy/dt  *   dt/dx             dy/dt = -2
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<span>-y/x = -2 *   dt/dx
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y/(2x) = dt/dx

dt/dx =  y/(2x)

dx/dt = 2x/y
  
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dx/dt = 2*-3/(-4/3) = -6 *-3/4 = 18/4 = 9/2 = 4.5

dx/dt = 4.5
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Step-by-step explanation:

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Putting value in y = r sin Ф

9 = r sin Ф

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1/sin Ф = csc Ф

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