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Bas_tet [7]
3 years ago
13

Let a and b be rational numbers. Then by definition

Mathematics
2 answers:
balu736 [363]3 years ago
7 0

Answer:

the product of two rational numbers is a rational number!

Step-by-step explanation:

ohaa [14]3 years ago
6 0

Answer:

The product of two rational numbers is a rational number

Step-by-step explanation:

I'll quickly recap the proof: a rational number is, by definition, the ratio between two integers. So, there exists four integers m,n,p,q such that

a=\dfrac{m}{n},\quad b=\dfrac{p}{q}

If we multiply the fractions, we have

ab = \dfrac{mp}{nq}

Now, mp and nq are multiplication of integers, and thus they are integers themselves. So, ab is also a ratio between integer, and thus rational.

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Write a function rule for "the output is six times the input".
Romashka [77]

Answer:

y=6x

Step-by-step explanation:

In this function, the input is the variable x. The problem says that the output is six times the input, so we will need to multiply the input by 6. To write this as a function, set the output (y) equal to 6 times the input (x):

3 0
3 years ago
Penny makes deposits into two separate accounts for 5 years: option A: $800; 6% annual simple interest option B: $800; 6% annual
gtnhenbr [62]

Answer:

A) P = 240

B) P + Po = 1040

C) P = 270.58

D) P+Po = 1070.58

E) Option B (compound interest) is better, as it generates more interest for the same inicial value, rate of interest and time

Step-by-step explanation:

The formula for simple interest is:

P = Po*r*t

Where P is the interest earned, Po is the inicial value, r is the rate of interest and t is the time.

The formula for compound interest is:

P+Po = Po*(1+r)^t

So we have that:

A) P = 800*0.06*5 = 240

B) P + Po = 800 + 240 = 1040

C) P+Po = 800*(1+0.06)^5 = 1070.58 -> P = 1070.58 - 800 = 270.58

D) P+Po = 1070.58

E) Option B (compound interest) is better, as it generates more interest for the same inicial value, rate of interest and time

5 0
3 years ago
it takes 20 pounds of fertilizer to treat a lawn of 7000 square ft., how many pounds of fertilizer are needed to treat a lawn of
frez [133]

It will take 48.5714285714  pounds of fertilizer to treat a lawn of 17,000 Square Ft.

6 0
4 years ago
If ΔRST symbol ΔNPQ, then RT line is congruent to _____.<br>A. Np<br>B. NQ<br>C.PQ<br>D. QP
VMariaS [17]
The answer is B.NQ. Hope it helps ;)
8 0
3 years ago
Read 2 more answers
Use the Pythagorean Theorem or knowledge on special right triangles to find the missing variable in the following triangles.
Shalnov [3]

Answer: K = 28^2, C = x^2, W = X^2, G = 22^2, T = X^2, and last but not least, A = X^2.

Step-by-step explanation:

For this you need to use the Pythagorean Theorem formula. A^2 + B^2 = C^2. Then you plug in your numbers. For this problem. You got figure out your As, your Bs, and last but not least, your Cs.

I hope this helps you solve the problem.

5 0
3 years ago
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