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Taya2010 [7]
3 years ago
9

What is the solution of the following system?

Mathematics
1 answer:
Yakvenalex [24]3 years ago
3 0
<h3>Answer:  B) no solutions</h3>

===========================================================

Explanation:

Let's isolate the variable y in the first equation

-2x - y = 1

-2x = 1 + y

1+y = -2x

y = -2x-1

Then we'll plug this into the second equation

-4x - 2y = -1

-4x - 2(-2x-1) = -1

-4x + 4x + 2 = -1

0x + 2 = -1

0 + 2 = -1

2 = -1

We run into a contradiction. No matter what x value we pick, the last equation will never be true. This leads to a domino effect to cause the first set of original equations to never be true when considered as a system.

Therefore, this system is inconsistent. There are no solutions. These two lines graph out parallel lines that never intersect.

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Find how many values of X does f(x)=5? Illustrate on the graph.
Fantom [35]

Answer:

Step-by-step explanation:

The question is saying "How many x values are there when y = 5?"

The answer is 2.

When x ≈ 1 and when x = ≈ 2

3 0
3 years ago
A genetic experiment with peas resulted in one sample of offspring that consisted of 438 green peas and 173 yellow peas.
Andre45 [30]

Answer:

a

The 95% confidence interval is 0.2474 < p < 0.3188

b

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Step-by-step explanation:

From the question we are told that

   The number of green peas is  k =  438

   The number of yellow peas is u =  173

Generally the sample size is mathematically represented as

       n  =  k + u

=>    n  = 438 + 173

=>    n  = 611

Generally the sample proportion for yellow peas is

      \^ p = \frac{u}{n}

=>   \^ p = \frac{173}{611 }

=>   \^ p = 0.2831

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{ 0.2831 (1- 0.2831)}{611} }

=>  E =  0.0357

Generally 95% confidence interval is mathematically represented as  

      \^ p -E <  p <  \^ p +E

=>     0.2831  -0.0357

=>     0.2474 < p < 0.3188

From the question we are told that it was expected that 25% of the offspring peas will be yellow

   Now from the 95% confidence interval obtained we see that the expected sample proportion(25% ) falls within it so  it means that the result obtained does not contradict expectation

7 0
3 years ago
What is an example of building blocks with fixed ratios
DENIUS [597]

Answer:

1.8 7

Step-by-step explanation:

4 0
3 years ago
Hey can you please help me posted picture of question :)
harina [27]
Y=(x-3)^2+36
Using (a-b)^2=a^2-2ab+b^2, with a=x and b=3
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y=x^2-6x+9+36
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The function f(r) gives the area of a circle with a radius r.
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157.75 is your answer


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