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1 year ago

Find the GCF of the terms of the polynomial. 48x ^ 6 + 6x ^ 2 - 26x ^ 3

Mathematics

1 answer:

galben [10]1 year ago

7 0

Answer:

$2x^{2}$

Step-by-step explanation:

Find the GCF of the numbers 48, 6 and 26.

The largest number each can be divided by is 2, which is the GCF.

Find the GCF of $x^{2}, x^{3}, x^{6}$

The GCF is always the smallest exponent, so $x^{2}$ is the GCF

Combine the two GCF for the answer

$2x^{2}$

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Please help with my question it is the millers shower uses 25 gallons of water for a 10 min shower. Now how many gallons of wate

klasskru [66]

Answer: The Millers need 15 gallons of water for 6 minutes.

Lets start by finding how much water is needed for 1 min shower.

25 gallons of water is used for 10 min shower:

10 mins = 25 gallons 

To find 1 min shower, we will divide the 25 gallons of water by 10.

10 mins = 25 gallons ← Divide by 10 on both sides
÷ 10 ÷ 10
1 min = 2.5 gallons

Now that we know the Millers need 2.5 gallons for every 1 minute of shower, we can find 6 minutes of shower by multiplying by 6.

1 min = 2.5 gallons ← Multiply 6 on both sides
x6 x6
6 min = 15 gallons

--------------------------------------------------------------------------------------
Answer: The Millers need 15 gallons of water for 6 minutes.
--------------------------------------------------------------------------------------

8 0

2 years ago

What percent is 45 out of 72?

Alenkinab [10]

Answer:

62.5%

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Please Help With this question

Lubov Fominskaja [6]

Answer:

Step-by-step explanation:

f(h(-2) =

h(-2)= 5(-2)= -10

f(-10)= -10 - 2 = -12

7 0

3 years ago

Some people think it is unlucky if the 13th day of a month falls on a Friday. Show that in every calendar year (non leap or leap

MakcuM [25]

We will set a variable, d, to represent the day of the week that January starts on. For instance, if it started on Monday, d + 1 would be Tuesday, d + 2 would be Wednesday, etc. up to d + 6 to represent the last day of the week (in our example, Sunday). The next week would start over at d, and the month would continue. For non-leap years:
If January starts on d, February will start 31 days later. Following our pattern above, this will put it at d + 3 (28 days would be back at d; 29 would be d+1, 30 would be d+2, and 31 is at d+3). In a non-leap year, February has 28 days, so March will start at d+3 also. April will start 31 days after that, so that puts us at d+3+3=d+6. May starts 30 days after that, so d+6+2=d+8. However, since we only have 7 days in the week, this is actually back to d+1. June starts 31 days after that, so d+1+3=d+4. July starts 30 days after that, so d+4+2=d+6. August starts 31 days after that, so d+6+3=d+9, but again, we only have 7 days in our week, so this is d+2. September starts 31 days after that, so d+2+3=d+5. October starts 30 days after that, so d+5+2=d+7, which is just d. November starts 31 days after that, so d+3. December starts 30 days after that, so d+5. Remember that each one of these expressions represents a day of the week. Going back through the list (in numerical order, and listing duplicates), we have d, d, d+1, d+2, d+3, d+3, d+3, d+4, d+5, d+5, d+6 and d+6. This means we have every day of the week covered, therefore there is a Friday the 13th at least once a year (if every day of the week can begin a month, then every day of the week can happy for any number in the month).
For leap years, every month after February would change, so we have (in the order of the months) d, d+3, d+4, d, d+2, d+5, d, d+3, d+6, d+1, d+4, and d+6. We still have every day of the week represented, so there is a Friday the 13th at least once. Additionally, none of the days of the week appear more than 3 times, so there is never a year with more than 3 Friday the 13ths.

5 0

2 years ago

Find the distance between the pair of points: (4,0) and (2,-1)

Marysya12 [62]

The distance is 2.23606 (2.24 rounded)

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1 year ago