Use the elimination method to solve the system of equations. Choose the correct ordered pair. 3y=x-1 x-2y=2

Answers

Answer 1
Answer:

Answer:

correct ordered pair  ( 4 , 1 ).

Step-by-step explanation:

Given :  3y=x-1 and x-2y=2.

To find : Use the elimination method to solve the system of equations.

Solution : We have given that

3y = x - 1 ------(1)

x - 2y = 2--------(2)

On subtracting x from both sides from equation 2.

-2y = -x + 2 --------(2)

Now adding equation 1 and 2

3y = x - 1 ------(1)

-2y = -x + 2 --------(2)

____________

y = 0 + 1

y = 1.

Now plug the value y = 1 in equation 1

3 (1) = x  - 1.

3 = x - 1.

On adding both sides by 1

3 +1 = x

x = 4.

Pairs ( 4 , 1 )

Therefore,  correct ordered pair  ( 4 , 1 ).


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Find the missing variable in the following question.If there is direct variation and y = 35 and x = 14, find x when y = 15.

A. x = 15
B. x = 6
C. x = 24
D. x = 12

Answers

Answer:

X=2×3=6

Step-by-step explanation:

Y=5, x=2×3=6

I hopethis helps

BRAINLIEST PLEASE

Can someone explain how to do it aswell please and thank you

Answers

Answer:

B: 24ft^2

Step-by-step explanation:

Area of triangle = (base x height)/2

Step 1: form an equation

a = (12ft x 4ft)/2

Step 2: solve equation

a = 48ft^2 / 2

a = 24ft^2

*the base is the measurement for the bottom of a triangle while height is the measurement of the length from the bottom to the top of a triangle*

What is the equation of the line that has a gradient of 3 and passes through the point (-1,3)

Answers

Answer:

d

Step-by-step explanation:

There were 5,317 previously owned homes sold in a western city in the year 2000. The distribution of the sales prices of these homes was strongly right-skewed, with a mean of $206,274 and a standard deviation of $37,881. If all possible simple random samples of size 100 are drawn from this population and the mean is computed for each of these samples, which of the following describes the sampling distribution of the sample mean? (A) Approximately normal with mean $206,274 and standard deviation $3,788
(B) Approximately normal with mean $206,274 and standard deviation $37,881
(C) Approximately normal with mean $206,274 and standard deviation $520
(D) Strongly right-skewed with mean $206,274 and standard deviation $3,788
(E) Strongly right-skewed with mean $206,274 and standard deviation $37,881

Answers

Approximately normal with mean is $206,274 and standard deviation is $3,788 and this can be determined by applying the central limit theorem.

Given :

  • There were 5,317 previously owned homes sold in a western city in the year 2000.
  • The distribution of the sales prices of these homes was strongly right-skewed, with a mean of $206,274 and a standard deviation of $37,881.
  • Simple random samples of size 100.

According to the central limit theorem the approximately normal mean is $206274.

Now, to determine the approximately normal standard deviation, use the below formula:

s =(\sigma )/(√(n) )   ---- (1)

where 's' is the approximately normal standard deviation, 'n' is the sample size, and \sigma is the standard deviation.

Now, put the known values in the equation (1).

s = (37881)/(√(100) )

s = 3788.1

\rm s \approx 3788

So, the correct option is A).

For more information, refer to the link given below:

brainly.com/question/18403552

Answer:

(A) Approximately normal with mean $206,274 and standard deviation $3,788

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = (\sigma)/(√(n)).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

Right skewed

Mean $206,274

Standard deviation $37,881.

Sample:

By the Central Limit Theorem, approximately normal.

Mean $206,274

Standard deviation s = (37881)/(√(100)) = 3788.1

So the correct answer is:

(A) Approximately normal with mean $206,274 and standard deviation $3,788

In what order must you preform the operations indicated by a negative rational exponent?

Answers

The operations referred to are likely

• raising to a power (the numerator of the exponent)

• taking a root (the denominator of the exponent)

• finding a reciprocal (because the exponent is negative)

They can be performed in any convenient order. It often works well to deal with small positive integers, so if one or more of these operations lets you proceed with a small positive integer for the remaining operations, that would be the one you'd perform first.

_____

A computer performing operations with a negative rational exponent may do so using logarithms. That is, the log of the base will be multiplied by the exponent, then the antilog found. The exponent itself will likely be treated as a floating point number, unless coding specifically indicates otherwise.

Is a quadrilateral in which each side is parallel to the side oppositeA Rhombo
B. Rectangle
C. Trapezium
D. Parallelogram​

Answers

Answer:

parallelogram

Step-by-step explanation:

parallelograms are parallel.

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