-10 + 15xy = 20 Direct and inverse variation. constant of variation (k)​

Question

-10 + 15xy = 20 Direct and inverse variation. constant of variation (k)​

in progress 0
bonexptip 3 years 2021-09-03T08:03:51+00:00 1 Answers 1 views 0

Answers ( )

  1. RobertKer
    0
    2021-09-03T08:05:32+00:00
    Reply

    Answer:

    This is an inverse variation, and the constant of variation is k = 2.

    Step-by-step explanation:

    Direct variation is something like:

    y = k*x

    Where k is the constant of variation.

    So as x increases also increases y.

    Inverse variation is something like:

    y = k/x

    k is the constant of variation.

    In this case, if x increases, y decreases.

    Now let’s look at the equation:

    -10 + 15*x*y = 20

    Let’s isolate y in one side of the equation:

    15*x*y = 20 + 10 = 30

    15*x*y = 30

    y = 30/(15*x) = (30/15)/x = 2/x

    y = 2/x

    Then we can conclude that this is an inverse variation, with a constant of variation equal to 2.

Leave an answer

Browse

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