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GaryK [48]
3 years ago
14

Solve the system of equations y=3x+2 y=x2-4x+2​

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
7 0

Answer:

  (x, y) = (0, 2), (7, 23)

Step-by-step explanation:

I find a graphing calculator to be a quick and easy tool for finding the solution. The attached shows the solutions to be ...

  (x, y) ∈ {(0, 2), (7, 23)}

__

Equating the expressions for y, we have a quadratic equation. It can be put into standard form and factored.

  3x +2 = x^2 -4x +2

  0 = x^2 -7x = x(x -7)

Solutions are values of x that make these factors zero, so are ...

  x = 0   and    x = 7

Corresponding values of y are ...

  y = 3·0 +2 = 2 . . . (0, 2) is one solution

  y = 3·7 +2 = 23 . . . (7, 23) is the other solution

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Integrate [0, 1/2] xcos(pi*x).
elena-14-01-66 [18.8K]
To answer your question, this could be the possible answer and i hope you understand and interpret it correctly:
<span>[Integrate [0, 1/2] xcos(pi*x
let u=x so that du=dx
 and v=intgral cos (xpi)dx
        v=(1/pi)sin(pi*x)
 integration by parts
uv-itgral[0,1/2]vdu just plug ins
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(1/pi)x sinpi*x - (1/pi)[-(1/pi) cos pi*x] from 0 to 1/2
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Plz help im bad and i need to know the answer and free brainest
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There’s no picture?sorry can you repost?
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