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Firlakuza [10]
3 years ago
9

What is 12x3 – 9x2 – 4x + 3 in factored form?

Mathematics
2 answers:
stiks02 [169]3 years ago
6 0
<span><span>This the factored formed for that problem (4x-3)(3x^2-1)

</span></span>
Svetach [21]3 years ago
5 0
Factor: 12x^3 - 9x^2 - 4x + 3

12x^3 - 9x^2 - 4x + 3
= (4x - 3)(3x^2 - 1)


Your answer is: (4x - 3)(3x^2 - 1)






Hope that helps!!!


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Two years ago the population of a town was 40000. The population of the town at present has reached 44100. Calculate the populat
LenaWriter [7]

Answer:

5% annual population growth rate

Step-by-step explanation:

Let the percent the population grows by be X\%. The total population, f(x), after t years can be modeled by the function:

f(x)=40,000\cdot (\frac{X}{100}+1)^t

Why?

Let's take a look at a simple example. If we said a number n grew by 10%, we could represent the number after it grew by multiplying n by 1.10. This is because growing by 10% is equivalent to taking 100\%+10\%=110\% of that number and we convert a percentage to a decimal by dividing by 100.

Therefore, if the population grew X\%, we would divide it by 100 to convert it to a decimal, then add 1 (100%) and raise to the power of t (number of years) to multiply by the initial population of 40,000 to get the total population after t years.

Since the population of the town after two years is 44,100, substitute f(x)=44,100 and t=2 into f(x)=40,000\cdot (\frac{X}{100}+1)^t:

44,100=40,000\cdot (\frac{X}{100}+1)^2,\\\\(\frac{X}{100}+1)^2=\frac{44,100}{40,000},\\\\(\frac{X}{100}+1)^2=1.1025,\\\\(\frac{X}{100}+1)^2=\pm \sqrt{1.1025},\\\\\begin{cases}\frac{X}{100}+1=1.05,\frac{X}{100}=0.05, X=\boxed{5\%},\\*\text{negative case is extraneous since X must be positive}\end{cases}

Therefore, the city has an annual population growth rate of 5%.

6 0
3 years ago
Which of the number(s) below are potential roots of the function?
Katena32 [7]

Step-by-step explanation:

U have to show a picture in order for us to help you

6 0
3 years ago
Which expression is equivalent to 3(x - 5) + 2
pogonyaev

Answer:

3x-13 I believe

Step-by-step explanation:

You multiply the 3 to the x and the 5. This would equal 3x-15+2

You would then add the -15 and the 2. This would be the answer 3x-13

Sorry if it is wrong

8 0
3 years ago
Every 3 seconds , 4 cubic feet of water pass under the bridge. what is the unit rate?
svetoff [14.1K]
12 would be the unit rate you mulitply 3 × 4
7 0
3 years ago
Find the percent increase. Round to the nearest percent. From 85 books to 143 books The percent increase is​
klasskru [66]

We are given :

  • Initial = 86
  • Final = 143

Let's find the percent increase with the help of formula:

\boxed{ \sf \: formula : 100 \times  \frac{(final - initial)}{initial} }

\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}

\tt \% \: increase =  100 \times \frac{(143 - 85)}{85}

\tt  \% \: increase = 100 \times  \frac{58}{85}

\tt\% \: increase = 20 \times   \frac{58}{17}

\tt\% \: increase =  \frac{1160}{17}

\tt\% \:increase = 6823.53

3 0
2 years ago
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