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Travka [436]
3 years ago
11

24 PTS!!!!!!1

Mathematics
1 answer:
balandron [24]3 years ago
8 0

Answer:

  D  (7, 0.5)

Step-by-step explanation:

The equations must be interpreted to be ...

  • y = -1/2x +4
  • y = 1/2x -3

A graph shows the solution to be (7, 0.5), matching selection D.

___

You can add the two equations together to get ...

  (y) +(y) = (-1/2x +4) + (1/2x -3)

  2y = 1 . . . . . simplify

  y = 1/2 . . . . .divide by 2

It can be convenient to use the second equation to find x.

  1/2 = 1/2x - 3

  1 = x - 6 . . . . . . multiply by 2

  7 = x . . . . . . . . . add 6

The solution is (x, y) = (7, 0.5). . . . . matches selection D.

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How do I do this please help me I will give you thank even tho it’s not important Ahahah please help me
xxTIMURxx [149]

Answer:

(-2 , 5)

(-1 , 0)

(1 , -4)

(3 , 0)

(4 , -5)

Step-by-step explanation:

<u>First solve the equation:</u>

x² - 2x - 3

<em><u>Find two numbers with have a sum of -2 and a product of -3.</u></em>

-3 and 1

(x - 3)(x + 1)

Solve for x:

x - 3 = 0

x = 3

x + 1 = 0

x = -1

You know that the graph will cross the x-axis at -1 and 3.

(-1 , 0)

(3 , 0)

You know that the graph is positive.

<u>Complete the square to find the vertex</u>

x² - 2x - 3

(x - 1)² = x² - 2 + 1

x² - 2x - 3 = x² - 2 + 1 - 2 = (x - 1)² - 2

1 = 0

x = 1

Substitute into the original equation:

x² - 2x - 3 =

1² - (2 * 1) - 3 =

1 - 2 - 3 =

-4

(1 , -4)

<em><u>You can input any two numbers within -10 and 10. Such as -2 and 4.</u></em>

x² - 2x - 3 =

-2² - (2 * -2) - 3 =

4- -4- 3 =

5

(-2 , 5)

x² - 2x - 3 =

4² - (2 * 4) - 3 =

16 - 8 - 3 =

-5

(4 , -5)

4 0
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Which equation is equivalent to
Alexeev081 [22]
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