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2 years ago

Which of the following sets represents MUN?

Mathematics

1 answer:

Anuta_ua [19.1K]2 years ago

7 0

Answer:

<u>Third choice: {3, 4, 6, 7, 9}</u>

Explanation:

<em>M ∪ N</em> means the union of the segments M and N. That is, the complete list of objects that are either in the set M or N.

The circle on the left of diagram shows that the elements inside the set M are 3, 4, 7 and 9.

The circle on the right of the diagram shows that the elements inside the set N are 4, 6 and 7.

The complete list of the numbers in either M or N is 3, 4, 6, 7, and 9 (you must not repeat the elements that belong to both sets but indicate them just once.

So, the set that represents M ∪ N is the third option {3, 4, 6, 7, 9}.

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20 points!!

ANEK [815]

See below for the proof of the equation $\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)$

<h3>How to prove the equation?</h3>

The equation is given as:

$\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)$

Take the LCM

$\frac{(ax + by)(x - y) -(ax - by)(x + y)}{(x + y)(x - y)}= 2(a - b)$

Expand

$\frac{ax^2 - axy + bxy - by^2 -ax^2 - axy + bxy + by^2}{(x + y)(x - y)}= 2(a - b)$

Evaluate the like terms

$\frac{-2axy + 2bxy }{(x + y)(x - y)}= 2(a - b)$

Rewrite as:

$\frac{-2axy + 2bxy }{x^2 - y^2}= 2(a - b)$

Factorize the numerator

$\frac{2(a - b)(x^2 - y^2)}{x^2 - y^2}= 2(a - b)$

Divide

2(a - b)= 2(a - b)

Both sides are equal

Hence, the equation $\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)$ has been proved

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5 0

1 year ago

two angles are supplementary one angle measures 75% more than twice the measure of the other what are the measurement of the two

valkas [14]

Let's call the angles x and y. We know that supplementary angles must add to 180 degrees, so x+y=180.

Furthermore, we know that x is 75% more than 2y. We can write "75% more than" numerically as 1.75, so x = 1.75(2y).

We can simplify the second equation by multiplying 1.75 and 2 together to get x = 3.5y.

Now we can solve the system of equations by substitution by plugging 3.5y in for x in x+y=180.

(3.5y) + y = 180

Combine like terms.

4.5y = 180

Divide by 4.5

y = 40

Plug y = 40 in and solve for x.

x + 40 = 180

x = 140

The answer is 40 and 140. Hope this helps :)

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2 years ago

Savanna works as a sales rep and receives $23.80 for every $140 she sells. What is her rate of commission?

REY [17]

This is actually quiet easy!

(23.80/140) x 100 = (0.17) x 100 = 17%

That's how you do it! Hope this helps!

8 0

2 years ago

6 + 1.5x = -12 please answer

gregori [183]

Answer:

-12

Step-by-step explanation:

6 + 1.5x = -12

1.5x = -18

x = -12

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2 years ago

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Tom earned £173 last week and he worked for 25 hours. how much does he earn?

ValentinkaMS [17]

TOm earned 173 dollars Last week working for 25 hours.
Now, if you're asking about his earnings, it's 173 dollars.
But if you're asking about his hourly rate.Let's find out:
=> 173 / 25 = 6.92 dollars per hour.

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2 years ago

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