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algol13
3 years ago
9

Use the grouping method to factor the polynomial below completely 3x^3+6x^2+5x+10

Mathematics
1 answer:
Len [333]3 years ago
8 0
We can use trial and error and foil each answer to see which gives us the original polynomial
A gives us the same answer
A
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What equation does the graph below represent
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Step-by-step explanation:

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How would I do the steps to solve this?
allsm [11]

Answer:

The maximum revenue is 16000 dollars (at p = 40)

Step-by-step explanation:

One way to find the maximum value is derivatives. The first derivative is used to find where the slope of function will be zero.

Given function is:

R(p) = -10p^2+800p

Taking derivative wrt p

\frac{d}{dp} (R(p) = \frac{d}{dp} (-10p^2+800p)\\R'(p) = -10 \frac{d}{dp} (p^2) +800 \ frac{d}{dp}(p)\\R'(p) = -10 (2p) +800(1)\\R'(p) = -20p+800\\

Now putting R'(p) = 0

-20p+800 = 0\\-20p = -800\\\frac{-20p}{-20} = \frac{-800}{-20}\\p = 40

As p is is positive and the second derivative is -20, the function will have maximum value at p = 40

Putting p=40 in function

R(40) = -10(40)^2 +800(40)\\= -10(1600) + 32000\\=-16000+32000\\=16000

The maximum revenue is 16000 dollars (at p = 40)

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artcher [175]

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Step-by-step explanation:

There are two bars of 1/3 so that's why it's 2 x 1/3

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