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MakcuM [25]
3 years ago
15

HELP 20 PTS!!! Which ordered pair in the form (x, y) is a solution of this equation? (x + 7)y = 10

Mathematics
1 answer:
Vlad [161]3 years ago
8 0

Answer:

x = 3 y = 1

Step-by-step explanation:

3 + 7 = 10

10 x 1 = 10

Have a great day and good luck :)

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find the particular solution to the exact differentiable equation dy/dx=(2e^x)-cosx passing through the point (0,3)
lozanna [386]

Answer:

y = 2eˣ - sin x + 1  

Step-by-step explanation:

dy/dx = 2eˣ - cos x

(0, 3)

Integrate dy/dx to find the original function.

  • y = 2eˣ - sin x + C

Solve for C by substituting the point given.

  • 3 = 2e⁰ - sin(0) + C
  • 3 = 2 - 0 + C
  • 1 = C

Now we can substitute C into the original function.

  • y = 2eˣ - sin x + 1  

This is the particular, or explicit, solution to the differentiable equation.

7 0
3 years ago
Write an equation of the line that has a slope of 2 and y-intercept 1 in slope-intercept form.
Vlada [557]
Y = mx + b

in this case m = 2 and b = 1 so
equation
y =2x + 1

hope this helps
4 0
3 years ago
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Norio, Gayle, and Tonya are playing a card game. They have a stack of red cards, a stack of yellow cards, and a stack of green c
Montano1993 [528]

Answer:

6

Step-by-step explanation

7 0
3 years ago
I will mark you brainliest!
kari74 [83]

Answer:

F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).

Step-by-step explanation:

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3 years ago
A poll asked 1057 American adults if they believe there was a conspiracy in the assassination of President Kennedy, and found th
AVprozaik [17]

Answer:

The 95% confidence interval of the proportion of Americans who believe in the conspiracy is  0.551<  p <  0.610

Step-by-step explanation:

From the question we are told that

   The sample size is  n =1057

   The number that believe there was a conspiracy is  k = 614

Generally the sample proportion is mathematically represented as

      \^ p =  \frac{614}{1057 }

=>   \^ p = 0.5809

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

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

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

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

=>   E = 1.96 * \sqrt{\frac{0.5809 (1- 0.5809)}{1057} }    

=>   E = 0.02975  

Generally 95% confidence interval is mathematically represented as  

      \^ p -E <  p <  \^ p +E

=>    0.5809 - 0.02975<  p <  0.5809 + 0.02975

=>    0.551<  p <  0.610

4 0
3 years ago
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