If y varies inversely as x and y=40 when x=5, then the constant is
1 answer:
The constant is 200.
Further explanation:
An inverse propertion states that if one quantity increases the other decreases and vice versa.
It can also be written as:
if y varies inversely with x
then
y∝1/x
y=k/x
When the proportionality symbol is removed, a proportionality constant is introduced
Given
y=40
x=5
Putting in equation
The constant is 200.
Keywords: Proportion, inverse proportion
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The system of linear inequalities x + 10y ≤ 80, x ≥ 30 and y ≤ 4 is represented in a graph below
<h3>Graph of Linear Inequality</h3>The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.
To solve this problem, we would require the use of graph which can easily be done with a graphing calculator.
x + 10y ≤ 80
x ≥ 30
y ≤ 4
The graph of the inequalities is attached below
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