5b +20y A. 5(b+4y) B. 5(4y+b) C. 2(b+10y)
2 answers:
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The solutions to the systems of inequalities are (0.3, 1.3), (-1, -2), (0.4, 1.8) and (3.6, 0.8)
<h3>How to determine the solution to the systems?</h3>The graph of the systems of inequalities is not given.
So, I would plot a new graph to answer this question.
The systems of inequalities are given as:
y − x > 1 and 2x + y ≤ 2
x + y ≥ -3 and 5x – y ≤ -3
2x – y ≤ -1 and x + 2y < 4
4x – 3y < 12 and x + 3y ≥ 6
Next, we plot these inequalities on a graph and write out the points of intersection.
From the attached graph, we have:
y − x > 1 and 2x + y ≤ 2 ⇒ (0.3, 1.3)
x + y ≥ -3 and 5x – y ≤ -3 ⇒ (-1, -2)
2x – y ≤ -1 and x + 2y < 4 ⇒ (0.4, 1.8)
4x – 3y < 12 and x + 3y ≥ 6 ⇒ (3.6, 0.8)
Hence, the solutions to the systems of inequalities are (0.3, 1.3), (-1, -2), (0.4, 1.8) and (3.6, 0.8)
Read more about systems of equations at:
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In mathematics multiplying decimals is just like multiplying a whole number and ignoring the decimals., then just put the decimals in the answer – it is how many decimals does the two numbers combined.
First step:
Line the numbers on the right and do not a line the decimal points
26.2
× 16.43
Second Step:
Multiply the numbers starting on the right, just like multiplying a whole number and ignore the decimals.
26.2
<span> × 16.43</span>
786
1048
1572
<span>+ 262 </span>
430466
Third step: add the products
26.2
<span> × 16.43</span>
786
1048
1572
<span>+ 262 </span>
430.466 is the mathematician’s answer.
Answer:
Required largest volume is 0.407114 unit.
Step-by-step explanation:
Given surface area of a right circular cone of radious r and height h is,
and volume,
To find the largest volume if the surface area is S=8 (say), then applying Lagranges multipliers,
subject to,
We know for maximum volume . So let
be the Lagranges multipliers be such that,
And,
Substitute (3) in (2) we get,
Substitute this value in (1) we get,
Then,
Hence largest volume,