Factor completely 4xy + 9x + 24y + 54.
2 answers:
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<u>Answer-</u>
<em>The value of x is </em><em>10</em>
<u>Solution-</u>
When two lines are crossed by another line (transversal), the angles in matching corners are called Corresponding Angles.
When the line are parallel the corresponding angles are equal in measurement.
As m and n are parallel line, so
The maximum value of the objective function is 330
<h3>How to maximize the objective function?</h3>The given parameters are:
Max w = 5y₁ + 3y₂
Subject to
y₁ + y₂ ≤ 50
2y₁ + 3y₂ ≤ 60
y₁ , y₂ ≥ 0
Start by plotting the graph of the constraints (see attachment)
From the attached graph, we have:
(y₁ , y₂) = (90, -40)
Substitute (y₁ , y₂) = (90, -40) in w = 5y₁ + 3y₂
w = 5 * 90 - 3 * 40
Evaluate
w = 330
Hence, the maximum value of the function is 330
Read more about objective functions at:
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Answer:
Step-by-step explanation:
The formula of a surface area of a sphere:
R - radius
We have
Substitute and solve for R:
<em>divide both sides by π</em>
<em>divide both sides by 4</em>
The formula of a volume of a sphere:
Substitute: