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Novosadov [1.4K]
3 years ago
8

Choose one of the factors of 27x^3 + 512y^3.

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
3 0
27=3³ and 512=8³
(3x+8y)(9x²-24xy+84y²) are the two factors. 
C is the answer. 
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Sonbull [250]

Answer: Arithmetic and 3

Step-by-step explanation:

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12/9 = 4/3 9/6 = 3/2 The ratio is not equal so this is not a geometric sequence

4 0
2 years ago
A glass contains alcohol and water in the ratio 1:4. A second glass contains the same quantity of liquid, but this time the rati
AnnyKZ [126]

Answer:

3:7

Step-by-step explanation:

So to solve this problem, you have to understand what the ratio 1:4 and 2:3 means. The 1:4 ratio in the first equation means that for "each unit of alcohol" there is 4 of those units of water. So let's say I had 2 gallons of alcohol and mixed it with 8 gallons of water. This means for each gallon of alcohol, there is 4 gallons of water, or in other words a 1:4 ratio. This can be described as a percentage as well. For each 5 gallons there are 4 gallons of water, and 1 gallon of alcohol or <em>20%</em> is alcohol. So let's just say that x=alcohol and y=water, this means that: x+y=c  where c is the total amount in the glass. This means that: x=0.20c

Let's do the same thing to the second equation. the ratio means that for every 2 units of alcohol there are 3 units of water. This means for every 5 gallons of the mixture there is 2 units of alcohol which is 40%. In this case let's also say that j=alcohol and k=water. This means that: j+k=c and that: j=0.40c.

So if we're going to add the two glasses, we simply add the two sides, and get: j+x+k+y=2c. Now remember how can can express j and x in terms of c, since it's a certain percentage of c (the entire thing). This means that we get: (0.4c+0.2c)+x+k=2c Now we can add like terms to get the equation: 0.6c+y+k=2c. We can find how much 0.6c is to 2c by dividing the 2, in doing so we get that 0.6c/2c = 0.3, or in other words the 0.6c is only 30% of the final mixture, and since the 0.6c represents the alcohol in this mixture, that means that's the percentage of alcohol. To write this as a ratio, this means for every 3 units of alcohol, there is 7 units of water, because 3/10 = 30%.

3 0
2 years ago
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What is the equation of a horizontal line that passes through the point (3,-5)?
Kryger [21]

your answer for this question is y=c hope this helps

5 0
2 years ago
The stained glass window is a regular hexagon which is 2.5 meters on a side. What is the approximate length of the metal frame s
posledela

Answer:

15 meters

Step-by-step explanation:

One side is 2.5 meters, so if they're all the same then you would multiply that by 6

3 0
3 years ago
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Rewrite in simplest rational exponent form √x • 4√x. Show each step of your process.
Vikentia [17]

Step-by-step explanation:

=  \sqrt{x} .4 \sqrt{x}

=  {x}^{ \frac{1}{2} }  \times 4 {x}^{ \frac{1}{2} }

= 4 {x}^{ \frac{1}{2} +  \frac{1}{2}  }

= 4 {x}^{ \frac{2}{2} }

= 4 {x}^{1}

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4 0
2 years ago
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