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Degger [83]
3 years ago
9

Y=x+5 and y=3x-3 I need to get this in a ordered pair

Mathematics
1 answer:
koban [17]3 years ago
4 0

9514 1404 393

Answer:

  (x, y) = (4, 9)

Step-by-step explanation:

Perhaps the ordered pair you want is the one that satisfies both equations.

We can find that by equating the expressions for y:

  x +5 = 3x -3

  8 = 2x . . . . . . . . add 3-x to both sides

  4 = x . . . . . . . . . divide by 2

  y = 4+5 = 9

The ordered pair is (x, y) = (4, 9).

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Find the value of 373 using the identity (x − y)3 = x3 − 3x2y + 3xy2 − y3. Show all work.
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Answer:

37^3 = 50653

Step-by-step explanation:

Given

(x - y)^3 = x^3 - 3x^2y + 3xy^2 - y^3

Required

Find 37^3

Express 37 as 40 - 3

So, we have:

37^3 = (40 - 3)^3

Compare to (x -y)^3

x = 40\ and\ y = 3

Substitute 40 for x and 3 for y in (x - y)^3 = x^3 - 3x^2y + 3xy^2 - y^3

(40 - 3)^3 = 40^3 - 3*40^2*3 + 3*40*3^2 - 3^3

Evaluate all exponents

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Evaluate all products

(40 - 3)^3 = 64000 - 14400 + 1080 - 27

(40 - 3)^3 = 50653

Hence:

37^3 = 50653

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Step-by-step explanation:

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