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Mariana [72]
3 years ago
9

Find f'(x) f(x)=(1-2x^2)^3

Mathematics
1 answer:
Hunter-Best [27]3 years ago
3 0

Answer:  f'(x) = 12x  + 48x³ - 48x⁵

<u>Step-by-step explanation:</u>

f(x) = (1 - 2x²)³

     = (1 - 2x²)(1 - 4x² + 4x⁴)

         1 - 4x² + 4x⁴

        <u>    -2x² + 8x⁴ - 8x⁶</u>

     =  1 - 6x² + 12x⁴ - 8x⁶

f'(x) = 0 -2(6)x²⁻¹ + 4(12)x⁴⁻¹ - 6(8)x⁶⁻¹

      =     12x  + 48x³ - 48x⁵

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2. Six cell phones weigh 46.2 ounces.
Zigmanuir [339]

Answer:

Yes, they're proportional and the constant of proportionality is 7.7.

Step-by-step explanation:

They are proportional because 46.2÷6=7.7 and 107.8÷14 also equals 7.7. This also means that 7.7 is the constant of proportionality.

6 0
3 years ago
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Brian needs to buy some pencils bread I had a pack of 12 pencils for 298 when we has a pack of a pack of 18 pencils for 499 find
AlekseyPX

Answer:

The pack of 12 pencils for 298 is better as it has a lower unit price.

Step-by-step explanation:

To be able to find the answer, you have to calculate the unit price for each brand by dividing the price of the pack by the number of pencils in the pack.

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According to this, the answer is that the pack of 12 pencils for 298 is better as it has a lower unit price.

8 0
3 years ago
A computer company makes a rectangular screen with a The dimensions of the computer screen are modeled by diagonal of 20 inches.
Novosadov [1.4K]

Answer:

  x = 16

Step-by-step explanation:

The equation shown can be solved this way.

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The positive solution is ...

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_____

Since this makes use of the Pythagorean theorem, you've probably run across the 3-4-5 triangle. You often find scaled versions of it in algebra and geometry problems. Here, it is scaled by a factor of 4 to give a 12-16-20 triangle as half of the display screen.

The 3-4-5 triple is the only Pythagorean triple that is an arithmetic sequence. So, if the difference in side lengths is 4 and the diagonal is 5×4, you can be pretty certain that x = 4×4 and x-4 = 4×3.

6 0
2 years ago
When I think of a number, double it, then add
Harman [31]

Answer:

8

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23 - 7

= 16

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u thought of 8 ;)

4 0
3 years ago
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MrRa [10]

Answer:

6 ounces of oil

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Well the first salad dressing is probably 8 ounces because 2+6 = 8

Then we must find out how large this recipe compares to the original

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So we need all the ingredients to be tripled to keep the same ratio of 2:6

The new dressing has 2*3 ounces of oil and 6*3 ounces of vinegar

which equals 6 ounces of oil and 18 ounces of vinegar.

Hope this helps!

(pls mark brainliest)

7 0
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