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diamong [38]
3 years ago
5

Decide whether the relation is a function: {(-3, 7), (1, -8), (6, -6), (7-8), (12, 2)}

Mathematics
1 answer:
lakkis [162]3 years ago
6 0

Answer:

It is a function

Step-by-step explanation:

A function is of the form:

\left[\begin{array}{c}x_1&x_2&x_3\\-&-&-\\x_n\end{array}\right]            \left[\begin{array}{c}y_1&y_2&y_3\\-&-&-\\y_n\end{array}\right]

Where each of the x values must be distinct.

The x values are referred to as domain while the y values are called range.

Having said that, the given data can be represented as follows:

\left[\begin{array}{c}-3&1&6\\7&12\end{array}\right] ----------- \left[\begin{array}{c}7&-8&-6\\-8&2\end{array}\right]

<em>From the representation above, none of the x values are repeated.</em>

<em>Hence, it is a function</em>

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Answer:

x = -8

Step-by-step explanation:

y = 3x/4

Substitute the value of -6 into y.

-6 = 3x/4

Multiply both sides by 4.

-24 = 3x

Divide both sides by 3.

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4 0
2 years ago
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A chair’s regular price is $349. It is on clearance for 30% off, and a customer uses a
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Answer:

$207.66

Step-by-step explanation:

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madreJ [45]

The solution of the system of equations is (-3 , -2)

Step-by-step explanation:

Steps for Using Linear Combinations Method)

  • Arrange the equations with like terms in columns
  • Analyze the coefficients of x or y
  • Add the equations and solve for the remaining variable
  • Substitute the value into either equation and solve

∵ 3 x - 8 y = 7 ⇒ (1)

∵ x + 2 y = -7 ⇒ (2)

- Multiply equation (2) by 4 to make the coefficients of y are equal in

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∴ 4 x + 8 y = -28 ⇒ (3)

Add equations (1) and (3)

∵ 3 x - 8 y = 7 ⇒ (1)

∵ 4 x + 8 y = -28 ⇒ (3)

∴ 7 x = -21

- Divide both sides by 7

∴ x = -3

Substitute the value of x in equation (2) to find y

∵ x + 2 y = -7 ⇒ (2)

∵ x = -3

∴ -3 + 2 y = -7

- Add 3 to both sides

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- Divide both sides by 2

∴ y = -2

The solution of the system of equations is (-3 , -2)

Learn more:

You can learn more about the system of the linear equations in brainly.com/question/13168205

#LearnwithBrainly

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Answer:

13

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