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3 years ago

Try to prove the hypothesis from part B that the sum of a rational and an irrational number is an irrational number.

Mathematics

1 answer:

Maurinko [17]3 years ago

8 0

The next step of your proof is to subtract (a/b) from both sides.

Then you get, x = (m/n) - (a/b)

Since rationals are closed over addition, (m/n) + (-a/b) is a rational number.

Therefore, x (an irrational number) = a rational number This is a false statement which is a contradiction. So, the assumption was incorrect.

Thus, the sum of a rational and irrational number is an irrational number. QED

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Please help with this TWO ANSWERS required

lawyer [7]

Answer:

a) The equation of V and W

V = k W

b) The value of V = 666.6

Step-by-step explanation:

Step(i):-

Given that V is inversely proportional to W

V∝ W

⇒ V = k W

⇒ 40 = k (0.9)

⇒ $k = \frac{40}{0.9} = 44.44$

Step(ii):-

Given that W = 15 and k = 44.44

we have to find the value is 'V'

V = k W

⇒ V = 44.44 × 15

⇒ V = 666.6

3 0

2 years ago

What is the range of Y = log8X?

goldfiish [28.3K]

Answer: all real numbers

7 0

2 years ago

Read 2 more answers

A total of 30 percent of the geese included in a certain migration study were male. If some of the geese migrated during the stu

Serggg [28]

<h2>Answer:</h2>

(B). $\frac{7}{12}$

<h2>Step-by-step explanation:</h2>

In the question,

Let the total number of geese be = 100x

Number of Male geese = 30% = 30x

Number of Female Geese = 70x

Let us say 'kx' geese migrated from these geese.

Number of migrated Male geese = 20% of kx = kx/5

Number of migrated Female geese = 4kx/5

So,

Migration rate of Male geese is given by,

$\frac{(\frac{kx}{5})}{30x}$

Migration rate of Female geese is given by,

$\frac{(\frac{4kx}{5})}{70x}$

So,

The ratio of Migration rate of Male geese to that of Female geese is given by,

$\frac{\left[\frac{(\frac{kx}{5})}{30x}\right]}{\left[\frac{(\frac{4kx}{5})}{70x}\right]}=\frac{350}{4\times 150}=\frac{7}{12}$

Therefore, the ratio of the rate of migration of Male geese to that of Female geese is,

$\frac{7}{12}$

Hence, the correct option is (B).

6 0

3 years ago

Write the standard form of the equation of the line passing through the point -2, two and perpendicular to the line 5x-y=-4

PtichkaEL [24]

Answer:

Step-by-step explanation:

7 0

2 years ago

WILL GIVE BRAINLIEST. please help

kondor19780726 [428]

Answer:

x = 11.4 m

y = 21 m

man's shadow = 9.6 m

Step-by-step explanation:

measure of third angle must be 50 degrees (180 - (40 + 90))

you can take tan50° = 15/y and 'y' will equal approx. 21

to find 'x' you can take tan21° = (21-x) /25 and 21 - x = 25 · tan21°

21 - x = 9.6

-x = -11.4

x = 11.4

man's shadow is the difference of 21 and 11.4, which is 9.6

4 0

2 years ago