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OLEGan [10]
2 years ago
9

Solve this system of equations. Show your work! 12x + 6y = 12y = x + 15

Mathematics
2 answers:
Phantasy [73]2 years ago
8 0

Answer: The equation has 2 positive integer solutions:

x1 = 0   y1 = 2  

x2 = 1   y2 = 0  

Step-by-step explanation:

KatRina [158]2 years ago
5 0

Answer:

( - 13/3, 32/3)

Step-by-step explanation:

See image below:)

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Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p. n equals
Alekssandra [29.7K]

Answer:

(0.767,0.833)

Step-by-step explanation:

The 95% confidence interval for population proportion p can be computed as

p-z_{\frac{\alpha }{2} } \sqrt{\frac{pq}{n} }

The z-value associated with 95% confidence level is 1.96.

whereas p=x/n

We are given that x=440 and n=550.

p=440/550=0.8

0.8-1.96\sqrt{\frac{0.8(0.2)}{550} }

0.8-1.96\sqrt{\frac{0.16}{550} }

0.8-1.96\sqrt{0.00029 }

0.8-1.96(0.01706)

0.8-0.03343

0.76657

Thus, the required confidence interval is

0.767<P<0.833  (rounded to 3 decimal places)

Hence, we are 95% confident that our true population proportion will lie in the interval (0.767,0.833)

3 0
2 years ago
What is (f + g)(x)? f(x) = -5x + 3 g(x) = -3x? Write your answer as a polynomial or a rational function in simplest form.​
ivann1987 [24]

Answer:

- 8x + 3

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= - 5x + 3 + (- 3x)

= - 5x + 3 - 3x ← collect like terms

= - 8x + 3

8 0
2 years ago
The question has been posted below:
____ [38]

Answer:

Step-by-step explanation:

b:)

4 0
1 year ago
I need help remembering the steps to solve
Viefleur [7K]
Take a common point ( C in this case)
1. Take the difference of the y coordinates from the point vertical to C.
   C from D in this case.
2.Take the diff of the x coordinates from the points  horizontal to the first.
  C from B in this case.
3. Now add the diff to the common point. X to x Y to y.
 
4 0
3 years ago
Read 2 more answers
Which points are the verticles of the ellipse? Equations of ellipse
Mashutka [201]

Answer:

This question is solved in detail below. Please refer to the attachment for better understanding of an Ellipse.

Step-by-step explanation:

In this question, there is a spelling mistake. This is vertices not verticles.

So, I have attached a diagram of an ellipse in which it is clearly mentioned where are the vertices of an ellipse.

Vertices of an Ellipse: There are two axes in any ellipse, one is called major axis and other is called minor axis. Where, minor is the shorter axis and major axis is the longer one. The places or points where major axis and minor axis ends are called the vertices of an ellipse. Please refer to the attachment for further clarification.

Equations of an ellipse in its standard form:

\frac{x^{2} }{a^{2} }  + \frac{y^{2} }{b^{2} } = 1

This is the case when major axis the longer one is on the x-axis centered at an origin.

\frac{x^{2} }{b^{2} } + \frac{y^{2} }{a^{2} }  = 1

This is the case when major axis the longer one is on the y-axis centered at an origin.

where major axis length = 2a

and minor axis length = 2b

3 0
2 years ago
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