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padilas [110]
3 years ago
5

Which ordered pair is a solution to the equation y = 6x - 4? The answer choices are A) (2, 1)

Mathematics
2 answers:
user100 [1]3 years ago
7 0

Answer:

Solution for the equations are y = 6x - 4 are (1, 2) .

Option (B) is correct .

Step-by-step explanation:

Solution of a equation

 Values which when substituted for a variable in an equation, make the equation true.

As given the expression in the questions are

y = 6x - 4

First part

Take (2, 1) points .

x = 2 , y = 1

Put these values of x and y in the equation

1 = 6 × 2 - 4

1 = 12 - 4

1 ≠ 8

(2, 1)  are not the solution of the equation  y = 6x - 4 .

Second part

Take (1,2) points

x = 1 , y = 2

Put these values of x and y in the equation  y = 6x - 4 .

2 = 6 × 1 - 4

2 + 4 = 6

6 = 6

(1, 2) satisfied the equation y = 6x - 4 .

Third part

Take (2, 6) points .

x = 2 , y = 6

6 = 6 × 2 - 4

6 = 12 - 4

6 ≠ 8

Thus (2, 6) are not the solution of the equation   y = 6x - 4 .

Fourth part

Take (1, 1) point

x = 1 , y = 1

1 = 6 × 1 - 4

1 ≠ 2

Thus (1, 1) is not  the solution of the equation   y = 6x - 4 .

Therefore  Solution for the equations are y = 6x - 4 are (1, 2) .

Option (B) is correct .

user100 [1]3 years ago
3 0
B

Substitute the first number for x and see which one it is

6 x 1 - 4 = 2
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The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds: A linear model with ordered pairs at 0, 60 and 2, 75 and 4, 75 and 6, 40 and 8, 20 and 10, 0 and 12, 0 and 14, 0. The x axis is labeled Time in seconds, and the y axis is labeled Height in feet. Part A: During what interval(s) of the domain is the water balloon's height increasing? (2 points) Part B: During what interval(s) of the domain is the water balloon's height staying the same? (2 points) Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest? Use complete sentences to support your answer. (3 points) Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 16 seconds.

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Of 100 students,65 are members of a mathematics club and 40 are members of a physics club. if 10 are members of neither club the
alexandr1967 [171]

a. 15 students are members of both clubs

b. 50 students only are members of the mathematics club

c. 25 students only are members of the physics club

Step-by-step explanation:

The given is:

  • There are 100 students
  • 65 are members of a mathematics club
  • 40 are members of a physics club
  • 10 are members of neither club

We need to find how many students are members of

a. both clubs?

b. only mathematics club

c. only physics club

∵ The total number of students = 100

∵ 10 are members of neither club

- Subtract 10 from 100 to find the members of the mathematics

  club or the physics club

∵ 100 - 10 = 90

∴ There are 90 members of the mathematics club or physics club

∴ n(mathematics or physics) = 90

∵ 65 students are members of a mathematics club

∵ n(mathematics) = 65

∵ 40 students are members of a physics club

∴ n(physics) = 40

∵ n(mathematics or physics) = n(mathematics) + n(physics) - n(both)

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∴ 90 = 105 - n(both)

- Add n(both) to each side

∴ n(both) + 90 = 105

- Subtract 90 from each side

∴ n(both) = 15

∴ 15 students are members of both clubs

a. 15 students are members of both clubs

∵ 65 students are members of the mathematics club

∵ 15 of them are members of the physics club

∴ n(mathematics only) = 65 - 15 = 50

∴ 50 students only are members of the mathematics club

b. 50 students only are members of the mathematics club

∵ 40 students are members of the physics club

∵ 15 of them are members of the mathematics club

∴ n(physics only) = 40 - 15 = 25

∴ 25 students only are members of the physics club

c. 25 students only are members of the physics club

Learn more:

You can learn more about word problems in brainly.com/question/8907574

#LearnwithBrainly

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