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Blababa [14]
2 years ago
5

Factorise: 27x^3 - 1/216 -9/2x^2 +1/4x

Mathematics
1 answer:
g100num [7]2 years ago
7 0

Answer:

Hello,

Step-by-step explanation:

27x^3-\dfrac{9}{2}x^2+\dfrac{1}{4}x-\dfrac{1}{216}   \\\\=(3x)^3-3*(3x)^2*\dfrac{1}{6} +3*(3x)*(\dfrac{1}{6} )^2-(\dfrac{1}{6} )^3\\\\=\boxed{(3x-\dfrac{1}{6} )^3}

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Bridget's Café has a regular coffee decaffeinated coffee . This morning the cafe served 80 count coffee’s and all 48 which wer
Katena32 [7]

9514 1404 393

Answer:

  60%

Step-by-step explanation:

Assuming your problem statement is saying that 48 of 80 coffees served were regular, that percentage is ...

  48/80 × 100% = 60%

60% of the 80 coffees served were regular.

6 0
3 years ago
Which number line shows the solution to the inequality −2(3x − 1) < 8?
Liula [17]

Answer:

x∈ (-1, ∞)

Step-by-step explanation:

<u>Solution of the inequality:</u>

  • −2(3x − 1) < 8            ⇒ Divide both sides by -2, this will change inequality    

                                              sign to opposite

  • 3x - 1 > -4                 ⇒ add 1 to both sides
  • 3x > -3                      ⇒ divide both sides by 3
  • x > -1                         ⇒ answer
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4 0
3 years ago
Andrew deposits $300 into an account that earns 2% interest each year. After the first year, Andrew has $306 in the account. Aft
Sliva [168]

Answer:

It is a simple interest account

Step-by-step explanation:

As we might see from the given earnings, the amount of money he earned each year is the same as in the previous year. This means that the amount of money is growing linearly instead of exponentialy. This is characteristic to a simple interest account, which is found by using the formula:

I=Prt

where I = interest earned.

P = principal

r = Interest rate

t = time in years,

if we use this formula to calculate the amount of money earned after t years, we can see it will be the same as the values reported:

I=$300(0.02/year)(1year)=$6

I=$300(0.02/year)(2years)=$12

I=$300(0.02/year)(3years)=$18

So this simple interest account.

8 0
4 years ago
Does the equation hvce the same slope as the equation y=2x-4 and y=2x+4
juin [17]
No, because in the first one the 4 is negative, in the second it is positive
6 0
3 years ago
What is the eighth term in the following sequence?
posledela
The answer to this question is A.48
7 0
3 years ago
Read 2 more answers
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