Determine if the equations below are proportional or nonproportional.

y=2/3x + 4

y=1/2x

2x + 3y=7

y=1/2x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Verify each case

case 1) we have

y=2/3x + 4

This line not passes though the origin (because for x=0 the value of y is not zero)

therefore

The equation is non proportional

case 2) we have

y=(1/2)x

This line passes though the origin (because for x=0 the value of y=0)

therefore

The equation is proportional

case 3) we have

2x + 3y=7

This line not passes though the origin (because for x=0 the value of y is not zero)

therefore

The equation is non proportional

no oblique asymptote

step-by-step explanation:

to find the oblique asymptote of f(x)

here numerator has degree 1 and denomintor degree 2

degree of numerator < degree of denominator

hence there is no oblique asymptote

when the degree of the denominator > that of the numerator, we saw that the value in the denominator got so much bigger, so quickly,   giving us a horizontal asymptote of the x-axis. or we can write

f(x) = a polynomial of x + a proper fraction.

in this case only we have oblique asymptotes but not when numerator has less degree.

42.4 6th grade students prefer hip hop

step-by-step explanation:

40 percent of 106 = 42.4