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Yakvenalex [24]
3 years ago
6

Braceleftzf y = 8/7 x − 2/3 8/3 x + y = 5/9

Mathematics
1 answer:
givi [52]3 years ago
7 0

Answer:

  (x, y) = (77/240, -3/10)

Step-by-step explanation:

It is convenient to write the equations in standard form.

Multiplying the first equation by 21 gives ...

  21y = 24x -14

Multiplying the second equation by 8 gives ...

  24x +9y = 5

Then the system of equations in standard form is ...

  • 24x -21y = 14
  • 24x +9y = 5

Subtracting the first from the second, we get ...

  (24x +9y) -(24x -21y) = (5) -(14)

  30y = -9

  y = -9/30 = -3/10

Substituting this into the second equation, we have ...

  24x +9(-3/10) = 5

  24x = 7.7 . . . . . . . add 27/10

  x = 7.7/24 = 77/240

The solution is (x, y) = (77/240, -3/10).

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Llana [10]
To solve problems like this, we must simply break it down and read each part carefully. We can also set it up as a math problem to make it easier to visualize.

The elevator starts on the twentieth floor, so we will represent that with 20.

20

It goes down 11 floors, so we can represent that with a -11.

20-11=9

Now we are on floor 9. Then, we go up 5 floors, so we can represent that with a 5.

9+5=14

Using the math above, we can see the elevator is on the 14th floor.
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3 years ago
Consider the line y = 9x-5.
goldenfox [79]

Answer:

4 \times  {4}^{ -  5 \times 4}

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Find f(−2) given that f(x)=2x2−3x+7.
Sedaia [141]

Answer:

21.

Step-by-step explanation:

f(x) = 2x^2 - 3x + 7.

When x = -2,

f(-2) = 2(-2)^2 - 3(-2) + 7

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= 21.

3 0
3 years ago
Read 2 more answers
What is the equation of the line in slope-intercept form?
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Answer:

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7 0
2 years ago
Solve by completing the square.
enot [183]

Answer:

x^2 -8x -5 = -3

x^2 -8x -2 = 0

We complete the square by:

1) Moving the "non X" term to the right:

x^2 -8x  = 2

2) Dividing the equation by the coefficient of X²

The coefficient of x is 1 so we don't do anything

3) Now here's the "completing the square" stage in which we:

      • take the coefficient of X

that is -8

     • divide it by 2

-8 ÷ 2 = -4

     • square that number

-4*-4 = 16

     • then add it to both sides of the  equation.

x^2 -8x +16 = 2 +16

That becomes

(x -4)^2 = 18

we take the square root of both sides:

(x -4) = sqr root (18)

x1 = sqr root (18) +4

AND

(x+4) = sqr root (18) -4

x1 =  sqr root (18) +4 = 4.2426406871  + 4 = 8.2426406871

x2 = sqr root (18) -4 =  = 4.2426406871  - 4 = .2426406871

       

Step-by-step explanation:

8 0
3 years ago
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