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antoniya [11.8K]
3 years ago
14

Simplify the rational expression 6x(x+3)(x-2)/3(x-2)(x+9) A) 2x/x-3 B)2x/(x-9) C) 2x(x+3)/(x+9)

Mathematics
2 answers:
mylen [45]3 years ago
8 0

Answer:

c

Step-by-step explanation:

Irina-Kira [14]3 years ago
6 0

Answer:

\large\boxed{C)\ \dfrac{2x(x+3)}{(x+9)}}

Step-by-step explanation:

\dfrac{6x(x+3)(x-2)}{3(x-2)(x+9)}=\dfrac{6\!\!\!\!\diagup^2}{3\!\!\!\!\diagup_1}\cdot\dfrac{(x-2)}{(x-2)}\cdot\dfrac{x(x+3)}{(x+9)}=\dfrac{2x(x+3)}{(x+9)}

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Let f(t) give the number of liters of fuel oil burned in t days, and w(r) the liters burned in r weeks. Find a formula for w by
viktelen [127]

Answer:

7 f(t)

Step-by-step explanation:

So, our f(t) is the number of liters burned in t days. If t is 1, f(t)=f(1) and so on for every t.

w(r) id the number of liters in r weeks. This is, in one week there are w(1) liters burned.

As in one week there are 7 days, we can replace the r, that is a week, by something that represents 7 days. As 1 day is represented by t, one week can be 7t (in other words r = 7t). So, we have that the liters burned in one week are:

w(r) = w[7f(t)]

So, we represented the liters in one week by it measure of days.

So, we can post that the number of liters burned in 7 days is the same as the number of liters burned 1 day multiplied by 7 times. So:

w (r) = w[7 f(t)] = 7 f(t)

Here we hace the w function represented in terms of t instead of r.

3 0
3 years ago
PLEASE HELP 10 POINTS
Westkost [7]

1/28. The probability that both songs are rock songs is 1/28.

The easiest way to solve this problem is using probability.

This is a example of probability without replacement, using the probability property of P(A∩B) = P(A)*P(B).

The probability of choose a rock song is P(A) = 2/8, and the probability to choose the second song from the 7 songs remaining and be rock song assuming that the first song that she picked was rock song is P(B) = 1/7.

The probability that both songs are rock song is:

P(A∩B) = P(A)*P(B)

P(A∩B) = (2/8)(1/7) = 2/56

P(A∩B) = 1/28

8 0
3 years ago
Solve for the sides. WIll give brainliest if done in the next 10 minutes and is right
Volgvan

Answer:

x=8 and y=17

Step-by-step explanation:

hope this helps

3 0
3 years ago
Please help! Correct answer only!
Sonja [21]

Answer:

<em>Probability ≈ 0.1071</em>

Step-by-step explanation:

Consider steps below;

Total Possible Outcomes - 8C5,\\\\8! / 5! ( 8 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 / ( 1 * 2 * 3 * 4 * 5 )( 1 * 2 * 3 ),\\\\6 * 7 * 8 / 6 = Combinations - 56,\\\\

Number Of Outcomes - 6C5,\\\\6! / 5! ( 6 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 / ( 1 * 2 * 3 * 4 * 5 ) ( 1 ),\\720 / 120 * 1,\\\\Outcomes - 6

Conclusion ; Solution - 6 / 56 = ( About ) 0.1071\\Hope That Helps!

<em>Solution; Probability ≈ 0.1071</em>

8 0
3 years ago
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Ok i will try to answer but i really dont have that much of a clue right now

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