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Andrew [12]
3 years ago
6

I need help factoring this polynomial please.

Mathematics
1 answer:
Mashcka [7]3 years ago
3 0

You get (2x+3)(4x^2-6x+9) when you factor 8x^3+27=0. You just divide by 3 to simplify it.


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Burka [1]
Its 30 because 30×30=900
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Justine bought a pair of boots for $76.68 and paid 13% sales tax. What was the price of these boots including tax?
MArishka [77]

Answer: $86.65

Step-by-step explanation:

First, find how much Justine paid in tax. To do this, first convert 13% to a decimal by dividing by 100. This gets a tax rate of 0.13. Now, multiply the price of the boots by the tax rate. 76.68*0.13 = 9.9684. Round to the nearest cent to get $9.97.

Now, add the amount paid in tax to the price of the boots. 76.68+9.97 = $86.65.

4 0
2 years ago
If AB = 10, BD = 5, and DE= 12, what is the length of BC?
FrozenT [24]

Answer:

BC = 24

Step-by-step explanation:

In the picture attached, the missing triangles are shown:

<u>Data</u>

  • AB = 10
  • BD = 5
  • DE= 12
  • Then, AD = 10-5 = 5

As a consequence of the "Side Splitter" Theorem:

AD/DE = AB/BC

Replacing with data and solving for BC

5/12 = 10/BC

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4 0
3 years ago
Jefferson High School is looking to expand its student parking lot by expanding the existing lot as shown above. The size of the
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60

Step-by-step explanation:

7 0
3 years ago
There are two major tests of readiness for college: the act and the sat. act scores are reported on a scale from 1 to 36. the di
Olin [163]

Solution: We are given:

ACT scores follow normal distribution with \mu=20.9,\sigma =4.8

SAT scores follow normal distribution with \mu=1026,\sigma=209

Now, let's find the z score corresponding to Joe's SAT score 1351.

z=\frac{x-\mu}{\sigma}

        =\frac{1351-1026}{209}

        =\frac{325}{209}

        =1.56

Therefore, Joe's SAT score is 1.56 standard deviations above the mean.

Now, we have find the Joe's ACT score, which will be 1.56 standard deviations above the mean.

Therefore, we have:

z=\frac{x-\mu}{\sigma}

1.56=\frac{x-20.9}{4.8}

1.56 \times 4.8 = x - 20.9

7.488=x-20.9

x=20.9+7.488

x=28.388 \approx 28.4

Therefore, Joe's equivalent ACT score to SAT score 1351 is 28.4    

7 0
3 years ago
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