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Karo-lina-s [1.5K]
2 years ago
6

Form the intersection for the following sets.

Mathematics
1 answer:
Luden [163]2 years ago
6 0

Answer:

Your required answer is option is {20}.

Step-by-step explanation:

Hey, there!!

The reason for above answer is we generally find intersections among the sets by extracting the common elements of the sets.

Here,

R = {10,15,20}

S = {20,25}.

Now, 20 is common im both so,

R intersection S = {20}.

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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Find x: 3/(x-4)(x-7) + 6/(x-7)(x-13) + 15/(x-13)(x-28) - 1/x-28 = -1/20
Novay_Z [31]

The value of x<em> </em>in the polynomial fraction 3/((x-4)•(x-7)) + 6/((x-7)•(x-13)) + 15/((x-13)•(x-28)) - 1/(x-28) = -1/20 is <em>x </em>= 24

<h3>How can the polynomial with fractions be simplified to find<em> </em><em>x</em>?</h3>

The given equation is presented as follows;

\frac{3}{(x - 4) \cdot (x - 7) }  + \frac{6}{(x - 7) \cdot (x - 13)   }  + +\frac{15}{(x - 13) \cdot (x - 28) } - \frac{1}{(x - 28)  } =  -  \frac{1}{20}

Factoring the common denominator, we have;

\frac{3\cdot(x - 13) \cdot(x - 28) + 6 \cdot(x - 4) \cdot(x - 28)  + 15 \cdot(x - 4) \cdot(x - 7)  - (x - 4) \cdot (x - 7)\cdot(x - 13)}{(x - 4) \cdot (x - 7)\cdot(x - 13) \cdot(x - 28)}   + =  -  \frac{1}{20}

Simplifying the numerator of the right hand side using a graphing calculator, we get;

By expanding and collecting, the terms of the numerator gives;

-(x³ - 48•x + 651•x - 2548)

Given that the terms of the numerator have several factors in common, we get;

-(x³ - 48•x + 651•x - 2548) = -(x-7)•(x-28)•(x-13)

Which gives;

\frac{-(x - 7) \cdot(x - 28)\cdot (x - 13)}{(x - 4) \cdot (x - 7)\cdot(x - 13) \cdot(x - 28)}   + =  -  \frac{1}{20}

Which gives;

\frac{-1}{(x - 4)}   + =  -  \frac{1}{20}

x - 4 = 20

Therefore;

  • x = 20 + 4 = 24

Learn more about polynomials with fractions here:

brainly.com/question/12262414

#SPJ1

5 0
1 year ago
Help answer ASAPPP 10 points
Musya8 [376]
Time:logs=time:logs
time/logs=time/logs

4hours:6logs=18hours:xlogs
4hours/6logs=18hours/xlogs
4/6=18/x
6/4=18/x
x=27

pick B,C,E
8 0
2 years ago
Read 2 more answers
Please answer as many as you can.
dimaraw [331]

Answer: okay so your problems are like 10000000k through  out resons of dum. so x=-1. is a little wrong becayse the x = into a 1 so  you make the 1 that factor. so thats why answer for 2.5

Step-by-step explanation:

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3 years ago
The sum of two numbers is 12 and their difference is 4. What are the two<br> numbers?
guapka [62]

Answer:

<u>8 and 4</u>

Step-by-step explanation:

8 + 4 = 12

8 - 4 = 4

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700 because the 9 in the tenth place is larger than 5
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