A scientist needs 80 liters of a 30% solution of alcohol. She has a 20% solution and a 60% solution available.
1 answer:
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Answer:
2x -y ≥ 4
Step-by-step explanation:
The intercepts of the boundary line are given, so it is convenient to start with the equation of that line in intercept form:
... x/(x-intercept) + y/(y-intercept) = 1
... x/2 + y/(-4) = 1
Multiplying by 4 gives the equation of the line.
... 2x -y = 4
This line divides the plane into two half-planes. The half-plane that is shaded is the one for larger values of x and/or smaller values of y than the ones on the line. So, for some given y, if we increase x we will get a number from our equation above that is greater than 4. Hence, the inequality we want is ...
... 2x -y ≥ 4
We use the ≥ symbol because the line is solid, so part of the solution space.
Hii!
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3v+4w-1
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We use the distributive property to "distribute" the minus sign.
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<em>Simplify!</em>
<em />. <em>Which is our final answer.</em>
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<em>Hope that this helped! Best wishes.</em>
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