The quantities x and y are proportional. Find the constant of proportionality r in the equation y = rx
2 answers:
<h2>Answer:</h2>
The constant of proportionality r in the equation is:
r = 7
<h2>Step-by-step explanation:</h2>We know that for the equation of the type:
The constant of proportionality is given by the equation:
i.e. it is the ratio of the output to the input values.
Here we have a table of values as follows:
x y
2 14
6 42
11 77
Hence, with the help of any one set of value we will get the value of r.
We take the set (2,14)
i.e.
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Given:
The given quadratic polynomial is :
To find:
The quadratic polynomial whose zeroes are negatives of the zeroes of the given polynomial.
Solution:
We have,
Equate the polynomial with 0 to find the zeroes.
Splitting the middle term, we get
The zeroes of the given polynomial are -3 and 4.
The zeroes of a quadratic polynomial are negatives of the zeroes of the given polynomial. So, the zeroes of the required polynomial are 3 and -4.
A quadratic polynomial is defined as:
Therefore, the required polynomial is .