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never [62]
3 years ago
7

What is the equation for the line

Mathematics
1 answer:
Darya [45]3 years ago
8 0
That depends the line
1, If the line is not parallel to Oy, so its equation is y=ax+b
2, Or its equation is x=m
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GuDViN [60]

First of all we will understand the question!!

<em>The</em><em> </em><em>question</em><em> </em><em>is</em><em> </em><em>saying</em><em> </em><em>that</em><em> </em><em>you</em><em> </em><em>are</em><em> </em><em>given</em><em> </em><em>a</em><em> </em><em>function</em><em> </em><em>and</em><em> </em><em>you</em><em> </em><em>have</em><em> </em><em>to</em><em> </em><em>find</em><em> </em><em>the</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>x</em><em> </em><em>which</em><em> </em><em>will</em><em> </em><em>give</em><em> </em><em>the</em><em> </em><em>maximum</em><em> </em><em>profit</em><em>.</em><em>.</em><em>.</em><em> </em><em>Lets</em><em> </em><em>solve</em><em> </em><em>it</em><em> </em><em>by</em><em> </em><em>finding</em><em> </em><em>the</em><em> </em><em>extrema</em><em> </em><em>using</em><em> </em><em>the</em><em> </em><em>vertex</em>

<em>\rm \: p(x) =  - 5 {x}^{2}  + 30x + 8</em>

  • <u>Identify the coefficients a and b of the quadratic function</u>

<em>\rm \: p(x) =   { - 5x}^{2}  + 30x + 8  \\  \rm \: a =  - 5 \: and \: b \:  = 30</em>

  • <u>Since a<0, the function has the maximum value at x, calculated by substituting a and b into x=-b/2a</u>

<u>\rm \: x =  \frac{30}{ 2 \times  (- 5)}</u>

  • <u>Solve</u><u> </u><u>the</u><u> </u><u>equation</u><u> </u><u>for</u><u> </u><u>x</u><u> </u>

<u>\rm \: x = 3</u>

  • <u>The maximum of the quadratic function is at </u><u>x</u><u>=</u><u>3</u>
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1 year ago
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