3 years ago

Assume that y varies inversely with x. If y=7 when x=2/3, find y when x=7/3

1 answer:

5 0

Inverse variation is of the form:

y=k/x, which we can express as:

yx=k we are given the point (2/3, 7) so we can solve for k

7(2/3)=k

14/3=k

y=14/(3x), so when x=7/3

y=(14/3)/(7/3)

y=(14/3)(3/7)

y=2

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Step-by-step explanation:

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2 years ago

Determine the values of x on which the function f(x)=2x^2-x-15/4x^2-12x is discontinuous and verify the type of discontinuity at

melomori [17]

Determine the values of x on which the function f(x)=2x^2-x-15/4x^2-12x is discontinuous and verify the type of discontinuity at each point.

A.There is a vertical asymptote at 0 and a hole at 3.
B.There are vertical asymptotes at -5/2 & 0 and a hole at 3.
C.There is a vertical asymptote at 3 and a hole at 0.
D.There are vertical asymptotes at 0 & 3.

Result:
(-7/4)x^2-13x

The roots are:
x= -52/7
x=0

See attached pictures.