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mash [69]
3 years ago
9

Which expression is equivalent to StartFraction c squared minus 4 Over c + 3 EndFraction divided by StartFraction c + 2 Over 3 (

c squared minus 9) EndFraction
Mathematics
2 answers:
-Dominant- [34]3 years ago
5 0

The options have not been given but three correct alternatives have been presented as the solution.

Answer:

3(c-2)(c-3) or3(c^2-5c+6) or 3c^2 - 15c + 18

Step-by-step explanation:

\dfrac{c^2-4}{c+3}\div\dfrac{c+2}{3(c^2-9)}

Applying the rule a^2 - b^2 = (a+b)(a-b) to the numerator of the first term and the denominator of the second term,

\dfrac{c^2-2^2}{c+3}\div\dfrac{c+2}{3(c^2-3^2)}

\dfrac{(c+2)(c-2)}{c+3}\div\dfrac{c+2}{3(c+3)(c-3)}

By changing ÷ to ×, we invert the second term

\dfrac{(c+2)(c-2)}{c+3}\times\dfrac{3(c+3)(c-3)}{c+2}

(c-2)\times3(c-3)

3(c-2)(c-3) = 3(c^2-5c+6) = 3c^2 - 15c + 18

Yakvenalex [24]3 years ago
4 0

Answer:

The answer is C on edge

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snow_tiger [21]
The answer in a fraction format is 2/9 or decimal format will be 0.222222222
8 0
3 years ago
25,00 people took part in a cross-country race The number of adults was 4 times the number of children there were 1,200 men.How
erastovalidia [21]

Answer:

Step-by-step explanation:

number of people= 2500

number of children =x

number of adults = 4x

so,  4x+x= 2500

x= 2500/5=500 children

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number of women = 2500-(1200+500)= 800

4 0
3 years ago
Janet can plant nine feet of carrots in 15 minutes while her daughter Amy can plant 17 feet of carrots in half an hour.
Lena [83]

Answer:

Step-by-step explanation:

In order to find who is more efficient at planting carrots, we want to put both ratios in terms of the same amount of time.

For simplicity, lets see how many carrots each can make in 1 hour.

Janet:\\9ft \: in \: 15 \:minutes

\frac{9ft}{15min} = \frac{xft}{60min}\\x = \frac{60*9}{15} = 36

Janet can plant 36 feet of carrots in one hour

Amy:\\\frac{17ft}{30min} = \frac{xft}{60min}\\x = \frac{17*60}{30} = 34

Amy can plant 34 feet of carrots in one hour

So, Janet can plant carrots more quickly

6 0
2 years ago
20 POINTS PLEASE HELP
Vinvika [58]

Answer:

{-9,1,11}

Step-by-step explanation:

Just place the domain values to your x value in the function.

7 0
3 years ago
Put these numbers in order from greatest to least.<br>0.012<br>0.002<br>0.02<br>0.512<br>​
prisoha [69]

Answer: 0.512, 0.020, 0.012, 0.002

Step-by-step explanation:

To put these decimals in the order from greatest to least, we first need to make sure they all have the same place values.

0.012, 0.002, 0.020, 0.512

Now that they have the same place values, we can see which is bigger.

0.512, 0.020, 0.012, 0.002

8 0
3 years ago
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