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3 years ago

Is the sum of two rational numbers always rational

Mathematics

1 answer:

Pepsi [2]3 years ago

8 0

Answer:

in short, Yes they are always rational.

here's why...

E.g. suppose $\frac{c}{d}$ and $\frac{a}{b}$ are fractions, that means that a,b,c,d are all integers, and b and d are not zero. finding the sum the numerator, and denominator would also have to be integers. the denominator of the sum can't be zero since the denominators of the fractions were not zero, and would give $\frac{ad+bc}{bd}$ and since they are bound by addition (sum means addition) they must also be rational since eit would equal a bigger integer than initially had

Step-by-step explanation:

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Samantha had 11/12 of a cup of sugar. She used 5/12 of a cup of sugar to bake muffins. How much sugar, in cups, does Samantha ha

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Answer:

1/2 cup

Step-by-step explanation:

11/12-5/12=6/12=1/2

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3 years ago

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Nimfa-mama [501]

Answer:

Step-by-step explanation:

think of the flight of a small rocket.. what does it seem like the parabola would look like? down means it looks like a cup or glass , upside down , up mean a cup or glass right side up.

when t = 0 the rocket is at 25, so that's the initial height

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3 years ago

What is the solution to the inequality 2n+5| > 1?

hodyreva [135]

Answer:

n < - 3 or n > - 2

Step-by-step explanation:

Inequalities of the type | x | > a , have solutions of the form

x < - a or x > a

Then

2n + 5 < - 1 or 2n + 5 > 1

Solve both inequalities

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2n + 5 > 1 ( subtract 5 from both sides )

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3 years ago

What is the y-inercept of the graph of f

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4 years ago

Question is in the picture, please help me out!!

Grace [21]

The arithmetic sequences are as follow:

<h3>What is Arithmetic Sequence?</h3>

An arithmetic sequence in algebra is a sequence of numbers where the difference between every two consecutive terms is the same.

1) t(n) = 5n + 4

t(1) = 9, t(2) = 14, t(3) = 19

So,

9,14,19,...

d= 14-9 = 5

d= 19-14 =5

Hence, it is an AP

2) 1, 2, 4, 8 , 16

Hence, it is not an AP

3) 3, 6, 9 ,...

It is an AP

4)It is given that it is an AP

5) tn = 2*3^n

t1= 6, t2= 18, t3= 54

So, 6, 18, 54,...

Hence, it is not an AP

6) 3 , 1, 1/3,...

It is not an AP

7) t(n+1)= 6*t(n)

t(1) = -1

t(2)=-6

t(3)= -36

Hence, it is not an AP

8) -3, 1, 5, 9

Hence, it is an AP.

9) 1, 4, 9,...

Hence, it not an AP

10) 2,1,0,1,2,...

It is not an AP

11) t(n)= -2n-5

t(1)= -7, t(2)= -9, t(3)= -11

Hence, it is an AP

12) tn= (1/2)^n

t1= 1/2, t2= 1/4, t3= 1/8

It is not an AP

Learn more about AP here:

brainly.com/question/24873057

#SPJ1

6 0

2 years ago