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3 years ago

Which statements are true about the ordered pair (-1,-4) and the system of equations?

Mathematics

1 answer:

rewona [7]3 years ago

4 0

Answer:

1.When (-1,-4) is substituted into the first equation, the equation is false. FALSE

2. When (-1,-4) is substituted into the first equation, the equation is true. TRUE

3. When (-1,-4) is substituted into the second equation, the equation is false.

FALSE

4. When (-1,-4) is substituted into the second equation, the equation is true. TRUE

5.The ordered pair (-1,-4) is a solution to the system of linear equations .TRUE

6.The ordered pair (-1,-4) is not a solution to the system of linear equations.

FALSE

Step-by-step explanation:

Here, the given set if equations are:

x - y = 3

7 x - y = - 3

Now, substituting the given value (-1,-4) in the given equations, we get

(1) Substitute (-1, -4) in first equation:

x - y = 3 : (-1, -4)

⇒ (-1) - (-4) = -1 + 4 = 3 = Right Side

So, the equation x - y = 3 holds TRUE for (-1,-4)

(2) Substitute (-1, -4) in second equation:

7 x - y = - 3 : (-1, -4)

⇒ 7(-1) - (-4) = -7 + 4 = -3 = Right Side

So, the equation 7 x - y = - 3 holds TRUE for (-1,-4)

Now, the given options are:

When (-1,-4) is substituted into the first equation, the equation is false. FALSE, equation is satisfied.

When (-1,-4) is substituted into the first equation, the equation is true.

TRUE

When (-1,-4) is substituted into the second equation, the equation is false.

FALSE, the given equation is satisfied.

When (-1,-4) is substituted into the second equation, the equation is true.

TRUE

The ordered pair (-1,-4) is a solution to the system of linear equations .

TRUE,as the given point satisfies both the equations.

The ordered pair (-1,-4) is not a solution to the system of linear equations.

FALSE,as the given point satisfies the equation.

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harina [27]

Ok I’m im not sure you can ask someone else sorry

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3 years ago

Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 270 em

allsm [11]

Answer:

The number of empty seats each of these three airlines carried on its flight are as follows:

United Continental = 150 empty seats

American = 50 empty seats

Southwest = 70 empty seats

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question. See the attached pdf for the complete question.

The explanation of the answers is now provided as follows:

Let U, A and W represents number of empty seats of United Continental, American, and Southwest respectively. Therefore, we have:

U + A + W = 270 ………………………. (1)

Since United Continental had three times as many empty seats as American, this implies that:

U = 3A ………………………………… (2)

Substituting U = 3A into equation (1), we have:

3A +A + W = 270

4A + W = 270

W = 270 - 4A ………………………….. (3)

For the cost, we have:

3,000[((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100)] = $114,990

((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100) = $114,990 / 3,000

((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100) = 38.33

0.447A + 0.146A + 0124W = 38.33

0.593A + 0.124W = 38.33 ………………… (4)

Substituting W = 270 - 4A from equation (3) into (4) and solve for A, we have:

0.593A + 0.124(270 - 4A) = 38.33

0.593A + 33.48 - 0.496A = 38.33

0.593A - 0.496A = 38.33 - 33.48

0.097A = 4.84

A = 4.84 / 0.097

A = 49.8969072164948

Rounding to a whole number, we have:

A = 50

Substituting A = 50 into each of equations (2) and (3), we have:

U = 3 * 50 = 150

W = 270 - (4 * 50) = 70

Therefore, the number of empty seats each of these three airlines carried on its flight are as follows:

United Continental = 150 empty seats

American = 50 empty seats

Southwest = 70 empty seats

Download pdf

6 0

3 years ago

How can I solve this?

Eva8 [605]

Answer:

they are congruent so 47 is also the measurement for its corresponding angle(aka the corner that doesn't have a variable)

and in a triangle, interior angles add to 180 so 47+x+y=180

90 + 43 = 133

+47= 180

so your answer is a

hope this helps!!

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Pachacha [2.7K]

Answer:

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Step-by-step explanation:

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The distance from Earth to the moon is 2.4 × 105 miles. The distance from Earth to the sun is 9.3 × 107 miles. Complete the sent

Liono4ka [1.6K]

Answer:

$Distance = 9.276 * 10^7$ miles

Step-by-step explanation:

Given

$Earth\ to\ Moon = 2.4 * 10^5 miles$

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Required

Difference in the distance of earth to sun to the distance of earth to moon

This can be solved using:

$Distance = Earth\ to\ Sun - Earth\ to\ Moon$

$Distance = 9.3 * 10^7 - 2.4 * 10^5$

Express 10⁷ as 10⁵ * 10²

$Distance = 9.3 * 10^5 * 10^2 - 2.4 * 10^5$

Factorize:

$Distance = 10^5(9.3 * 10^2 - 2.4)$

Solve the expression in the bracket

$Distance = 10^5(9.3 * 100 - 2.4)$

$Distance = 10^5(930 - 2.4)$

$Distance = 10^5(927.6)$

$Distance = 927.6 * 10^5$

Expand 927.6

$Distance = 9.276 * 10^2 * 10^5$

$Distance = 9.276 * 10^{2+5}$

$Distance = 9.276 * 10^7$

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3 years ago