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PolarNik [594]
2 years ago
13

What is the least common denominator of

Mathematics
1 answer:
lawyer [7]2 years ago
5 0

Answer:

Step-by-step explanation:

Least common denominator

x - 1 is not going to be included because x - 1 is included in x^2 - 1

x^2 - 1 factors into (x - 1)(x+1) so you need only 1 x - 1.

You do however, need an x.

The answer is x(x + 1)(x - 1)

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Paul starts from his house and bikes 30 miles east, then 20 miles south. How much farther south must Paul bike to be 50 miles aw
padilas [110]
30 miles long

Leave a heart please
5 0
3 years ago
Please help me!<br> x-7&gt;10<br><br> x&gt;__?
tester [92]

Answer:

x>17

Step-by-step explanation:

We can treat an inequality just the same as an equality in terms of manipulation!(This doesn't hold for multiplying or dividing by negative numbers, but it holds for all addition).

So, we can add 7 to both sides of the inequality to get x-7+7>10+7.

We can simplify -7+7 into 0, and 10+7 into 17.

So, the answer is \boxed{x>17} and we're done!

3 0
3 years ago
Help me please! If you DO decide to help, please explain it to me since I'm extremely confused! THANK YOU!
den301095 [7]

\bf \cfrac{(-4x^2)(2x^{-2}y)^3}{(16x^5)(4y^3)^2}\implies \cfrac{(-4x^2)(2^3x^{-2\cdot 3}y^3)}{(16x^5)(4^2y^{3\cdot 2})}\implies \cfrac{(-4x^2)(8x^{-6}y^3)}{(16x^5)(16y^6)} \\\\\\ \cfrac{-32x^{2-6}y^3}{256x^5y^6}\implies -\cfrac{x^{-4} y^3}{8x^5y^6}\implies -\cfrac{1}{8x^5x^{4}y^6y^{-3}}\implies -\cfrac{1}{8x^{5+4}y^{6-3}} \\\\\\ -\cfrac{1}{8x^9y^3}

8 0
3 years ago
Read 2 more answers
Inequality word problem<br><br> 7 less than -2 times a number X is greater than or equal to 41
Lady bird [3.3K]
Less than means minus so 7 less than means -7

-2 times a number x means -2 times x or -2x

is greater than or equal to means <u>></u>

41=41


so
-7+-2x<u>></u>41
-2x-7<u>></u>41
add 7 to both sides
-2x<u>></u>48
divide both sides by -2
remember to flip sign since divided by negative
x<u><</u>-96 
5 0
3 years ago
Kathleen and Arnob both run from the park entrance along a loop. Kathleen starts walking from the park entrance and gets a 5-mil
Ilia_Sergeevich [38]

For this case, the first thing we must do is define variables.

We have then:

x: time in minutes

y: distance traveled.

We then have the following equations:

For Kathleen:

y = (\frac{1}{15}) x + 5

For Arnob:

y = (\frac{2}{15}) x

By the time Arnob reaches Kathleen we have:

(\frac{1}{15}) x + 5 = (\frac{2}{15}) x

From here, we clear the value of x.

We have then:

(\frac{2}{15}) x - (\frac{1}{15}) x = 5

(\frac{1}{15}) x = 5\\x = (15) * (5)\\x = 75 min

Answer:

it takes Arnob to catch up to Kathleen 75 minutes:

d. 75

5 0
3 years ago
Read 2 more answers
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