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geniusboy [140]
3 years ago
10

What is the factored form of 64g^3+8

Mathematics
1 answer:
IrinaK [193]3 years ago
4 0

Answer:

8(2g + 1)(4g² - 2g + 1)

Step-by-step explanation:

Given

64g³ + 8 ← factor out 8 from each term

= 8(8g³ + 1) ← 8g³ + 1 is a sum of cubes and factors as

8g³ + 1 = (2g + 1)((2g)² - 2g + 1² ) = (2g + 1)(4g² - 2g + 1)

Hence

64g³ + 8 = 8(2g + 1)(4g² - 2g + 1)

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6 0
3 years ago
The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 122 and standard deviation of 22
marin [14]

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Step-by-step explanation:

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Standard deviation: \sigma=22

Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher.

The probability that an adult in the USA have stage 2 high blood pressure:

P(x\geq160)=P(\dfrac{x-\mu}{\sigma}}\geq\dfrac{160-122}{22})\\\\=P(z\geq1.72)\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(z

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6 0
3 years ago
the ratio of girls to boys in the sixth grade is 5:3. If there are 400 sixth graders, how many boys are there?
PilotLPTM [1.2K]

Answer:

boys = 250

girls = 150

Step-by-step explanation:

5g = 3b       eq. 1

g + b = 400       eq. 2

g = girls

b = boys

From the eq. 2

g = 400 - b

Replacing this last eq. on eq. 1:

5(400-b) = 3b

5*400 + 5*-b = 3b

2000 - 5b = 3b

2000 = 3b + 5b

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From eq. 2

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g = 150

Check:

from eq. 1

5*150 = 3*250  = 750

3 0
2 years ago
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