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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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Answer:

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Step-by-step explanation:

It's the youth in the community so it's obviously people below 25 and we need more responses to get a more unbiased opinion.

3 0
3 years ago
The summer has ended and it’s time to drain the swimming pool. 20 minutes after pulling the plug, there is still 45 000L of wate
WITCHER [35]

Answer:

  a) -900 L/min

  b) 63000 L

  c) v = -900t +63000

  d) 7200 L

Step-by-step explanation:

a) You are given two points on the curve of volume vs. time:

  (t, v) = (20, 45000) and (70, 0)

The rate of change is ...

  Δv/Δt = (0 -45000)/(70 -20) = -45000/50 = -900 . . . . liters per minute

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b) In the first 20 minutes, the change in volume was ...

  (20 min)(-900 L/min) = -18000 L

So, the initial volume was ...

  initial volume -18000 = 45000

  initial volume = 63,000 . . . . liters

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c) Since we have the slope and the intercept, we can write the equation in slope-intercept form:

  v = -900t +63000

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d) Put the number in the equation and do the arithmetic.

When t=62, the amount remaining is ...

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6 0
3 years ago
14x+6=2 (5+7x) <br> Please solve with work
liraira [26]

Answer:

-6

Step-by-step explanation:

14x+6=2(5+7x)

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3 0
3 years ago
1/2+1/4= <br><br> 3/4+1/4=<br><br> What is the difference
son4ous [18]
1/2 + 1/4 = 3/4
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4 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP !!!!! What would these be in scientific notation ?
Zarrin [17]

\text{the scientific notation}\\\\a\cdot10^n\ \text{where}\ 1\leq a < 10\ \text{and}\ n\in\mathbb{Z}

5\underbrace{7,909,000}_{\leftarrow7}km=5.7909\cdot10^7km\\\\1\underbrace{08,200,000}_{\leftarrow8}km=1.082\cdot10^8km\\\\1\underbrace{49,600,000}_{\leftarrow8}km=1.496\cdot10^8km\\\\2\underbrace{27,940,000}_{\leftarrow8}km=2.2794\cdot10^8km\\7\underbrace{78,330,000}_{\leftarrow8}km=7.7833\cdot10^8km\\\\1,\underbrace{424,600,000}_{\leftarrow9}km=1.4246\cdot10^9km\\\\4,\underbrace{498,252,900}_{\leftarrow9}km=4.4982529\cdot10^9km

4 0
3 years ago
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