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Lerok [7]
3 years ago
7

which statements about the system are true? check all that apply. y = x – 4 3y – x = –7 the system has one solution. the system

consists of parallel lines. both lines have the same slope. both lines have the same y–intercept. the equations represent the same line. the lines intersect.
Mathematics
2 answers:
Dmitrij [34]3 years ago
8 0
The slope of the first equation has a slope of one and a y intercept of -4. The second equation has a y intercept of -2.3333 as seen when plugging in 0 for x, so the same y-intercept and same line are out of the question. This means either they have the same slope and thus are parallel or intersect at some point. A simple way to find out? Plug in 1 for x on the second. If it isn't -1.33333, which is a slope of positive 1 such as in the first equation, they WILL INTERSECT somewhere. When plugging in 1, we get
 3y - 1 = -7
3y = -6
y = -2
(1, -2) is the next point after (0, -2.3333)
That means it is most certainly not the same slope, and thus they will intersect at some point. The two slopes are 1/1 and 1/3 if you weren't aware.
Setler79 [48]3 years ago
5 0

Answer:

option .B and option .C are correct.

Step-by-step explanation:

took test only missed this one it told me right answer

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Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. Whe
podryga [215]

Answer:

The value  is  n = 384

The correct option is a

Step-by-step explanation:

From the question we are told that

   The margin of error is  E =  0.05

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   is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally since the sample proportion is not given we will assume it to be

      \^ p = 0.5

Generally the sample size is mathematically represented as  

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

=>   n = [\frac{ 1.96 }{0.05} ]^2 *0.5 (1 - 0.5)

=>   n = 384

Generally the margin of error is mathematically represented as  

      E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

Generally if the level of confidence increases,  the critical value of  \frac{\alpha }{2}  increase and from the equation for margin of error we see the the critical  value varies directly with the margin of error , hence the margin of error  will increase also  

So  If the confidence level is increased, then the sample size would need to increase because a higher level of confidence increases the margin of error.

8 0
3 years ago
Write the word sentence as an equation. Then solve.
gtnhenbr [62]

The equation is   c-13=-2

The solved equation is 11

First, we must add 13 on both sides

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The answer to the equation is  c=11

5 0
3 years ago
Seven-ninths of the pencils in a box are yellow. Three-tenths of the yellow pencils are sharpened. What fraction represents the
jek_recluse [69]

Answer:

7/30

Step-by-step explanation:

We are given that Seven-ninths (7/9) of the pencils in a box are yellow and three-tenths (3/10) of the yellow pencils are sharpened.

To find the fraction that represents sharpened yellow pencils, we find the product of the the fraction of yellow pencils and the fraction of yellow pencils that are sharpened.

That is:

=> (7 / 9) * (3 / 10)

=(7 * 3) / (9 * 10)

= 21 / 90

= 7 / 30

7/30 represents the fraction of sharpened yellow pencils.

3 0
3 years ago
5 movie tickets cost $55. At this rate, what is the cost per ticket?
Mariana [72]

Answer:

11

Step-by-step explanation:

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4 0
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Answer:

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Hope this helps!

-AxekickNebulite

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