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solong [7]
3 years ago
8

Factor 6x^3 + 33^2 - 63x

Mathematics
1 answer:
Paladinen [302]3 years ago
5 0
This factors out to 3x (x + 7) (2x - 3)=0.

First, notice that the greatest common factor of this set is 3x.

Once you factor that out, you have a quadratic 2x^2+11x-21=0.

You can solve this by factoring using the ac method, to find two factors whose product is -42 and whose sum is 11. These factors are 14 and -3. 

You can split the middle term b to write 2x^2+14x-3x-21=0.

Then, you can factor to write 2x(x+7)-3(x+7)=0 \\ (2x-3)(x+7)=0. Finally, don't forget the 3x from earlier!

This factors out to 3x (x + 7) (2x - 3)=0.
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Dried rose petals can be used to make rose water. Fatima buys 0.454 kilogram
Vesnalui [34]

Fatima's claim that she has 0.413 kilogram of rose petals left is wrong

<h3>How to determine the amount of rose petals left?</h3>

The given parameters are:

  • Amount purchased = 0.454 kg and 0.056 kg
  • Used amounts = 0.02kg and 0.095 kg

The amount left is the difference between the amount purchased and the amount used.

So, we have:

Remaining  = 0.454 + 0.056 - 0.02 - 0.095

Evaluate

Remaining  = 0.395

This means that the remaining amount is 0.395kg, not 0.413 kg

Hence, Fatima's claim that she has 0.413 kilogram of rose petals left is wrong

Read more about sum and difference at:

brainly.com/question/2560921

#SPJ1

3 0
1 year ago
A pair of boots that originally sold for $75.32 are on sale for 22% off.
Vesnalui [34]

Answer:

The boots will be $58.75

Step-by-step explanation:

first you cross multiply

\frac{x}{75.32} x \frac{22}{100}

you then get 1,657.04= 100x, so divide by 100 on both sides to get

16.5704 = X  

Subtract X (the 22% discount amount) from the original price to get the new price of $58.75!

3 0
2 years ago
jacks mom purchased a savings bond for jack. the value of the savings bond increases by 5% each year. one year after it was purc
aalyn [17]

Answer:

Step-by-step explanation:

4 0
3 years ago
Y = f(x) = 4^x<br> Find f(x) when x = 1/2<br> Enter the correct answer.
nirvana33 [79]
I believe the answer is 2
4 0
2 years ago
Read 2 more answers
to troubleshoot a problem in a complex computer system you need to seek help from a ____ team. ( tech)
ioda
Here you need an adjective of the given word (Tech), so the answer is technical.
7 0
2 years ago
Read 2 more answers
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