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ArbitrLikvidat [17]
3 years ago
15

Y=3x+62x+4y=−4 What is the value of y in the system?

Mathematics
1 answer:
Marrrta [24]3 years ago
6 0

9514 1404 393

Answer:

  y = 0

Step-by-step explanation:

We assume you want to find y such that ...

  • y = 3x +6
  • 2x +4y = -4

Dividing the second equation by 2, we can write an expression for x.

  x +2y = -2

  x = -2y -2

Substituting this into the first equation gives ...

  y = 3(-2y -2) +6

  y = -6y -6 +6 . . . eliminate parentheses

  7y = 0 . . . . . . . . . add 6y

  y = 0 . . . . . . . . . . divide by 7

The value of y in the system of equations is 0.

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Your answer is: n=-7/2 or n=3/4
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What’s The Answer Of This? Please Answer ASAP
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Answer: 67 degrees

Step-by-step explanation:

4 0
2 years ago
-2(x - 8) + 4x = -12
Deffense [45]

Answer:

x = 14

Step-by-step explanation:

Solve for x:

4 x - 2 (x - 8) = -12

-2 (x - 8) = 16 - 2 x:

4 x + 16 - 2 x = -12

4 x - 2 x = 2 x:

2 x + 16 = -12

Subtract 16 from both sides:

2 x + (16 - 16) = -16 - 12

16 - 16 = 0:

2 x = -16 - 12

-16 - 12 = -28:

2 x = -28

Divide both sides of 2 x = -28 by 2:

(2 x)/2 = (-28)/2

2/2 = 1:

x = (-28)/2

The gcd of -28 and 2 is 2, so (-28)/2 = (2 (-14))/(2×1) = 2/2×-14 = -14:

Answer:  x = -14

7 0
3 years ago
Suppose that an internal report submitted to the managers at a bank in Boston showed that with 95 percent confidence, the propor
Dmitry [639]

Answer:

The sample size used to compute the 95% confidence interval is 1066.

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population proportion is:

CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

The 95% confidence interval for proportion of the bank's customers who also have accounts at one or more other banks is (0.45, 0.51).

To compute the sample size used we first need to compute the sample proportion value.

The value of sample proportion is:

\hat p=\frac{Upper\ limit+Lower\ limit}{2}=\frac{0.45+0.51}{2}=0.48

Now compute the value of margin of error as follows:

MOE=\frac{Upper\ limit-Lower\ limit}{2}=\frac{0.51-0.45}{2}=0.03

The critical value of <em>z</em> for 95% confidence level is:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

Compute the value of sample size as follows:

MOE=z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\0.03=1.96\times \sqrt{\frac{0.48(1-0.48)}{n}}\\(\frac{0.03}{1.96})^{2}=\frac{0.48(1-0.48)}{n}\\n=1065.404\\n\approx1066

Thus, the sample size used to compute the 95% confidence interval is 1066.

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3 years ago
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aleksandrvk [35]

okokok

Step-by-step explanation:

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