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VladimirAG [237]
2 years ago
14

Please help me i need to solve for x

Mathematics
1 answer:
butalik [34]2 years ago
4 0

Answer:

1.732i (complex form)

its weird, at high-school level complex shouldn't come, its considered mistake in the question. But the mathematically its all correct

Step-by-step explanation:

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What will be the index of 2 for its value equal to 1/2​
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Answer:

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Step-by-step explanation:

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The profit from a business is
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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>
3 0
2 years ago
Find the average rate of change of f(x)=-x^2+2x+2 from x=2 to x=6. Simplify your answer as much as possible.
Eduardwww [97]

Answer:

- 6

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [ a, b ] = [ 2, 6 ] , then

f(b) = f(6) = - 6² + 2(6) + 2 = - 36 + 12 + 2 = - 22

f(a) = f(2) = - 2² + 2(2) + 2 = - 4 + 4 + 2 = 2 , then

average rate of change = \frac{-22-2}{6-2} = \frac{-24}{4} = - 6

8 0
3 years ago
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