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EastWind [94]
3 years ago
5

Solve this system of equations- x=2y-8 and 4x+y=13

Mathematics
2 answers:
rjkz [21]3 years ago
8 0
(2,5)
thats what i got

Galina-37 [17]3 years ago
7 0
First solution: (x) - 2(y) = -8

Second solution: 4(x) + (y)

For the fraphic of the "respresentation"  on the equation becomes: -2(y) + x = -8; (y) + 4(x) = 13

Now, let's do it this way: x - 2(-4[x] + 13) = -8
                                        9(x) = 18

We found the the x-intercept (which is 2)

(y) = -4(x)

(y) = -4 × 2 + 14 = 5 

x-intercept = 2; y-intercept = 5

Therefore,for your result we came upwith the answer of {2,5} 

Good Luck :)

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?Eric conducted an experiment in his science class and recorded the data in a table.
Vitek1552 [10]

The constant of proportionality that relates the distance traveled to the elapsed time represented by this data will be 6.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Eric conducted an experiment in his science class and recorded the data in a table.

Eric’s science experiment, time (seconds), 3, 6, 9, 12, 15, 18, distance (ft), 18, 36, 54, 72, 90, 108.

Let x be the time and y be the distance.

Let the distance and time be linear to each other. Then the linear equation is given as

y -  36 = [(36 - 18) / (6 - 3)] (x - 6)

y - 36 = 6 (x - 6)

       y = 36 + 6x - 36

       y = 6x

Then the constant of proportionality that relates the distance traveled to the elapsed time represented by this data will be 6.

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

4 0
2 years ago
A certain kind of sheet metal has, on average, 3 defects per 18 square feet. Assuming a Poisson distribution, find the probabili
Fofino [41]

Answer:

75.8% probability that a 31 square foot metal sheet has at least 4 defects.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

In this problem, we have that:

3 defects per 18 square feet.

So for 31 square feet, we have to solve a rule of three

3 defects - 18 square feet

x defects - 31 square feet

18x = 3*31

x = \frac{31*3}{18}

x = 5.17

So \mu = 5.17

Assuming a Poisson distribution, find the probability that a 31 square foot metal sheet has at least 4 defects.

Either it has three or less defects, or it has at least 4 defects. The sum of the probabilities of these events is decimal 1.

So

P(X \leq 3) + P(X \geq 4) = 1

We want P(X \geq 4)

So

P(X \geq 4) = 1 - P(X \leq 3)

In which

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-5.17}*(5.17)^{0}}{(0)!} = 0.0057

P(X = 1) = \frac{e^{-5.17}*(5.17)^{1}}{(1)!} = 0.0294

P(X = 2) = \frac{e^{-5.17}*(5.17)^{2}}{(2)!} = 0.0760

P(X = 3) = \frac{e^{-5.17}*(5.17)^{3}}{(3)!} = 0.1309

So

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0057 + 0.0294 + 0.0760 + 0.1309 = 0.242

Finally

P(X \geq 4) = 1 - P(X \leq 3) = 1 - 0.242 = 0.758

75.8% probability that a 31 square foot metal sheet has at least 4 defects.

8 0
3 years ago
Which of the following represents 8​
aniked [119]

Hello!

your answer is: A. 8

the other answers contain equations that do not result in 8

B is equal to 36

C is equal to 40,320

I hope this helps, and have a nice day!

4 0
3 years ago
Read 2 more answers
Help Me within 10-15 Minutes and you have a 50/50 chance of getting an unbiased brainliest
VARVARA [1.3K]

Answer:

listen you did not tell me the problem so i can't answer

Step-by-step explanation:

8 0
3 years ago
Tom has r quarters. Express the value of the quarters in cents.
BigorU [14]
C = 0.25r

this is becasue quarters have a value of 0.25 and c is the total cents

hope this helps and have a great day! :)
3 0
3 years ago
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