valorinicole1
valorinicole1 valorinicole1
  • 26-04-2019
  • Mathematics
contestada

select the point that satisfies y<=-x+3, y<=x^2-3x

Respuesta :

Gasaqui
Gasaqui Gasaqui
  • 28-04-2019

Answer:

(1, -2)

Step-by-step explanation:

We have the two equations:

y ≤ -x + 3  (1)

y ≤ x^2 - 3x → Factorizing → y ≤ x(x-3)  (2)

So the two equations are:

y ≤ x(x-3)

y ≥ (x-3)

Solving the system of equations:

y=x(x-3)

y = (x-3)

Then: x(x-3) = (x-3). Solving for 'x' we have that x=1.

If x=1, then y= -2

The point thay satisfies the inequations is:

(1, -2)

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