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viva [34]
3 years ago
14

Will the difference of two rational numbers be always rational

Mathematics
1 answer:
spayn [35]3 years ago
7 0

Since ad, bc, and bd are integers since integers are closed under the operation of multiplication and ad-bc is an integer since integers are closed under the operation of subtraction, then (ad-bc)/bd is a rational number since it is in the form of 1 integer divided by another and the denominator is not eqaul to 0

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What is the value of y in the sequence below<br> 2, У, 18,-54, 162
Maslowich

Answer:

<em>y=-6</em>

Step-by-step explanation:

<em>Geometric Sequences</em>

Any given sequence is said to be geometric if each term a_n can be obtained as the previous term a_{n-1} by a constant value called the common ratio.

a_n=a_{n-1}.r

or equivalently

a_n=a_1.r^{n-1}

Looking closely at the sequence 2, y, 18,-54, 162 we can try to find out if it's a geometric sequence or not. We compute the possible common ratios

\displaystyle \frac{162}{-54},\ \frac{-54}{18} and we see they both result -3. If we use r=-3 and try to find the second term (y), then

y=2*(-3)=-6

Now we compute the third term: (-6)(-3)=18

Since we got the third term as given in the original sequence.

So y=-6

3 0
3 years ago
How to simplify this
algol [13]
To simplify this, you would have to turn b^-2 into a positive exponent.
To do this, we have to flip b^-2, which would get rid of the negate from the exponent: -2

3a^4 b^-2 c^3 / b^-2

Then we get the answer:

3a^4 c^3
------------
   b^-2

I have a picture to clarify! 
I hope this helped, let me know if you don't understand! ^.^

6 0
3 years ago
39+5h+4g-2h i have been trying 2 work this out 4 ages so plz help
SIZIF [17.4K]
Unless you're given the value of the variables, you can't really solve for anything. The only thing you can do is simplify. 

<span>39+5h+4g-2h
The only like terms are 5h and -2h.

39 + 3h + 4g
This would be the simplified version.</span>
7 0
3 years ago
Read 2 more answers
What is 15% of 60 show your work to prove your answer
Mila [183]
<span>To convert a percentage to a decimal you move the decimal two places to the left. Therefore:

15.% becomes .15

You then multiply this decimal to the number you are trying to find the percentage of.

.15 × 60 = 9.

9 is 15% of 60.
</span>
3 0
3 years ago
Read 2 more answers
Please give a explanation :)<br> i will mark as brainliest!!
Fynjy0 [20]

Answer:

x=12 y=3

Step-by-step explanation:

Since the scale factor is 1:3, that means that the length and width of Q multiplied by 3 gives the corresponding length and width of P.

Similarly, the length and width of P divided by 3 gives the corresponding length and width of Q.

With this, 9/3=3, which is the value of y.

4*3=12, which is the value of x.

5 0
3 years ago
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