Which represents the solution(s) of the system of equations, y = x2 – 6x + 8 and y = –x + 4? Determine the solution set by graphing.

Question

Which represents the solution(s) of the system of equations, y = x2 – 6x + 8 and y = –x + 4? Determine the solution set by graphing.

(1, 3) only
(2, 0) and (4, 0)
(1, 3) and (4, 0)
no solutions

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Nho 5 months 2021-08-17T11:24:38+00:00 2 Answers 4 views 0

Answers ( )

    0
    2021-08-17T11:26:12+00:00

    Answer:

    C) (1,3) and ( 4,0)

    The intersecting points of two given curves are A( 1,3) and B(4,0)

    Step-by-step explanation:

    Step(i):-

    Given Parabola  y = x² – 6x + 8  and straight line y = -x +4

          y = x² – 6x + 8   …(i)

          y = -x +4  …(ii)

    Equating (i) and (ii) equations , we get

      x² – 6x + 8  = -x +4

    ⇒ x² – 6x + 8  +x – 4 = 0

    ⇒ x² – 5x +  4 = 0

    ⇒ x² – 4x -x + 4 = 0

    ⇒ x ( x-4) -1( x -4) =0

    ⇒ (x -1) ( x -4) =0

    ⇒ x =1 and x = 4

    Step(ii):-

    Put x = 1 in equation y = -x +4

      y = -1 +4 = 3

    The first point A( 1,3)

    Put x = 4 in equation y = -x +4

    y = -4+4 =0

    The second point B(4,0)

    Final answer:

    The intersecting points of two given curves are A( 1,3) and B(4,0)

    0
    2021-08-17T11:26:33+00:00

    Answer:

    they were right C was correct I finished the test so i can confirm

    Step-by-step explanation:

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )