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1 year ago

Which point is a solution to the system of linear equations?

Mathematics

1 answer:

Sloan [31]1 year ago

6 0

The ordered pair which is a solution to the system of linear equations is: A. (3, 0).

<h3>How to determine the solution?</h3>

In order to determine a solution to the system of linear equations, we would have to test the given ordered pairs by substituting their values into the linear equations as follows;

For ordered pair (3, 0), we have:

y = −x + 3

0 = -3 + 3

0 = 0 (True).

2x − y = 6

2(3) - 0 = 6

6 - 0 = 6

6 = 6 (True).

For ordered pair (3, -1), we have:

y = −x + 3

-1 = -3 + 3

-1 = 0 (False).

For ordered pair (0, 3), we have:

y = −x + 3

3 = 0 + 3

3 = 3 (True).

2x − y = 6

2(0) - 3 = 6

0 - 3 = 6

-3 = 6 (False).

For ordered pair (-1, 3), we have:

y = −x + 3

3 = -1 + 3

3 = 2 (False).

Read more on ordered pairs here: brainly.com/question/12179097

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Points A, B, C, D, and E form a pentagon. Which of the following ordered pairs can be located inside the pentagon?

Musya8 [376]

Answer:

H (1, 2)

Step-by-step explanation:

Answers F, G and J give points on the pentagon

Therefore, H is the correct answer

6 0

3 years ago

US National forest cover approximately 300,000 square miles. conversationalist want the total square footage of forests to be 30

Sveta_85 [38]

E+10 is equivalent to 10^10 so, 9e+10 is equivalent to 9*10^10. 300,000^2 is 90000000000 square miles, where as the US has 4000000. Therefore, if the national forest were as large as the environmentalist wants them to be, the forest would be larger than the US, which is IMPOSSIBLE !!! As a result, this goal is not reasonable

7 0

3 years ago

How to solve this elimination

aleksandrvk [35]

Firstly you have to reduce the 4 variables to a double system of equation with only 2 variables.

Let's say, first we have to eliminate Z:
Take 1st & 3rd equation & multiply each term of the 1st by (- 1). One done you add up the 1st & the 3rd & you will get:
5W - 4x + 2y = - 18
Follow the same methodology to find another equation without z. Once done you will have a system of 2 equation with 2 variable easy to solve,

At the end you will find:
w = -3
x = -2
y = -1
z = 3

4 0

3 years ago

Grasshoppers are distributed at random in a large field according to a Poisson process with parameter a 5 2 per square yard. How

HACTEHA [7]

In this question, the Poisson distribution is used.

Poisson distribution:

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 interval.

Parameter of 5.2 per square yard:

This means that $\mu = 5.2r$ , in which r is the radius.

How large should the radius R of a circular sampling region be taken so that the probability of finding at least one in the region equals 0.99?

We want:

$P(X \geq 1) = 1 - P(X = 0) = 0.99$

Thus:

$P(X = 0) = 1 - 0.99 = 0.01$

We have that:

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

$P(X = 0) = \frac{e^{-5.2r}*(5.2r)^{0}}{(0)!} = e^{-5.2r}$

Then

$e^{-5.2r} = 0.01$

$\ln{e^{-5.2r}} = \ln{0.01}$

$-5.2r = \ln{0.01}$

$r = -\frac{\ln{0.01}}{5.2}$

$r = 0.89$

Thus, the radius should be of at least 0.89.

Another example of a Poisson distribution is found at brainly.com/question/24098004

3 0

3 years ago

89 (54x − 36) + 2 = −3/4 (−40 + 16x) + 90xsolve for x

Amiraneli [1.4K]

Hey! Just in case you have to show your work.

89(54x-36)+2=-3/4(-40+16x)+90x

4806x-3204+2=-3/4×4(-10+4x)+90x

4806x-3202=30-12x+90x

4806x-78x=30+3202

4728x=3232

3232÷4728=

X=404/591

4 0

3 years ago