We will investigate how to determine the constant of proportionality for specific relationship between two variables.
We are given the respect proportionality between two variables ( x and y ) on a cartesian coordinate plane as such:
We are to determine the constant of proportionality ( k ) for the relationship expressed between the two variables.
A general proportional relation between ( x ) and ( y ) is expressed as follows:
Where,
We will use the given data point ( x , y ) and the general expression for direct proportions to determine the value of the constant of proportionality ( k ) as follows:
We plugged in the respective quantities of the variables ( x ) and ( y ) and evaluated for the constant of proportionality ( k ):
The given equation is in point-slope form.
The general form of an equation in point slope form is:
Here m is the slope and
and
are the coordinates of the point.
So in given equation the slope is 2/3, and the coordinates of point are (1,3)
The opposite of -2/3 is 2/3
Hello from MrBillDoesMath
Answer: -4x^3 + 8x^2 -5x + 12
Discussion:
Standard for for a polynomial meas tne power of x descend so standard fro of
8x^2 - 4x^3 +12 -5x is
-4x^3 + 8x^2 -5x + 12
Note: the problem statements shows this ":8x^2". I didn't know how to deal with the ":" character so simply ignored it.
Thank you,
Mr. B
Let's break down all the information we receive from the question.
One pair of shoes= three times as much as a scarf
One pair of shoes and one scarf= $32
We need to make an equation where 3s= pair of shoes and s=scarf. We then need to put one pair of shoes + one scarf = 32.
3s+s=32
Now add.
4s=32
You could use 4s=32 (or 32÷4=s).