Suppose y varies inversely with x, and y = a when x = a 2. What inverse variation equation relates x and y ?

Mathematics

1 answer:

Sphinxa [80]2 years ago

6 0

The variation equation is xy = a^3

<h3>How to determine the equation?</h3>

An inverse variation is represented as:

xy = k

Where k is the constant of variation

When y = a and x =a^2, we have:

k = a * a^2

Evaluate

k = a^3

Substitute k = a^3 in xy = k

xy = a^3

Hence, the equation is xy = a^3

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If R= {(1,2), (3,4), (5,6), (8,9)} find the domain and range of R a. Find value of X and Y.

podryga [215]

<h2>The Domain and Range of a Set of Ordered Pairs</h2><h3>Answer:</h3>

Domain: $x \in \{ 1, 3, 5, 8 \}$

Range: $y \in \{ 2, 4, 6, 9 \}$

<h3>Step-by-step explanation:</h3>

We are given the set of ordered pairs: $R$ . The Domain is just the set containing all the $x$ values of each ordered pair of $R$ . Recall that in the ordered pair $(a,b)$ , $a$ is the $x$ value. In set $R$ , we can see that the $x$ values are $\{ 1, 3, 5, 8 \}$ .

For the Range, it is just the set containing all the $y$ values of each ordered pair of $R$ . Recall that in the ordered pair $(a,b)$ , $b$ is the $y$ value. In set $R$ , we can see that the $y$ values are $\{ 2, 4, 6, 9 \}$ .