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lisabon 2012 [21]
3 years ago
15

Find the solution for 6x+3y=3 3x-y=4​

Mathematics
1 answer:
Mariana [72]3 years ago
5 0
I think the answer is 7x
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A. The solution is (−2,−3)
Cerrena [4.2K]

9514 1404 393

Answer:

  D.  (-3, -2)

Step-by-step explanation:

The equations have different coefficients for x and y, so will have one solution. The solutions offered are easily tested in either equation.

Using (x, y) = (-2, -3):

  x = y -1  ⇒  -2 = -3 -1 . . . . False

Using (x, y) = (-3, -2):

  x = y -1  ⇒  -3 = -2 -1 . . . .True

  2x = 3y  ⇒  2(-3) = 3(-2) . . . . True

The solution is (-3, -2).

__

If you'd like to solve the set of equations, substitution for x works nicely.

  2(y -1) = 3y

  2y -2 = 3y . . eliminate parentheses

  -2 = y . . . . . . subtract 2y

  x = -2 -1 = -3

The solution is (x, y) = (-3, -2).

5 0
3 years ago
Marine scientists categorize signature whistles of bottlenose dolphins by typelong dash—type ​a, type​ b, type​ c, etc. In one s
r-ruslan [8.4K]

Answer:

The 95​% confidence interval for the true proportion of bottlenose dolphin signature whistles that are type a whistles is (0.4687, 0.6123).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 185, \pi = \frac{100}{185} = 0.5405

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5405 - 1.96\sqrt{\frac{0.5405*0.4595}{185}} = 0.4687

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5405 + 1.96\sqrt{\frac{0.5405*0.4595}{185}} = 0.6123

The 95​% confidence interval for the true proportion of bottlenose dolphin signature whistles that are type a whistles is (0.4687, 0.6123).

3 0
3 years ago
PLEASE HELP ASAP! :)
Aleks [24]
One is 7 and the other is 8 because 7 squared is 49 and 8 squared is 64. 
8 0
3 years ago
8.p(x) = 3 + X 2
Korvikt [17]

Answer:

*answerness*

Step-by-step explanation:

*answerness*

8 0
4 years ago
What is equation of the line that is parallel to the line of the y-1=4(x+3) and passes through the the point (4,3)
tangare [24]

Answer:4x+12

Step-by-step explanation:

4 times x is 4x and 4 times 3 is 12

6 0
3 years ago
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