All categories

2 years ago

The sum of two nonzero real numbers is 4 times their product. What is the sum of the reciprocals of the two numbers

Mathematics

1 answer:

zlopas [31]2 years ago

7 0

Answer:

Step-by-step explanation:

If the two numbers are 'a' and 'b', the sum of their reciprocals is ...

$\dfrac{1}{a}+\dfrac{1}{b}=\dfrac{a+b}{ab}=\dfrac{4ab}{ab}=\boxed{4}$

The sum of their reciprocals is 4.

You might be interested in

Last year, 11 students tried out for the

umka2103 [35]

136% increase I think

5 0

2 years ago

You rent an apartment that costs $1100 per month during the first year, but the rent is set to go up 9.5% per year. What would b

uranmaximum [27]

Answer:

$2076.30

Step-by-step explanation:

In the n-th year, the rent will be ...

an = a1·r^(n-1) . . . . . . . . . r is the year on year ratio: 1+rate of increase

an = 1100·(1.095^(n-1))

Then the rent in the 8th year is ...

a8 = 1100·(1.095^(8-1)) ≈ 2076.30

The rent in the 8th year would be $2076.30.

8 0

2 years ago

All parts please, i need this by the end of today and pls write answer in comments

ale4655 [162]

Answer:

$= \frac{78}{360} \\ = \frac{13}{60}$

$let \: total \: number \: be \: x \\ \frac{13}{60} x = 1164 \\ x = \frac{1164 \times 60}{13} \\ x = 5372 \: movies$

A year has (4 × 12) weeks

= 48 weeks.

In 1 week = 9,568,000 movies

48 weeks = (48 × 9,568,000) movies

Average movies = 459.264 movies

Since 9.568 million movies are rented.

How about in one year ( 48 weeks )

Convert 1 year to weeks and compare with 1 week

7 0

2 years ago

Is it possible to complete

Mrac [35]

Answer:

is it possible to complete

diagram be so that is not a function if so completely that round to show a relation but not a function if not justify your reasoning

yes

Step-by-step explanation:

8 0

3 years ago

One edge of a cube measures 4.6 meters. What is the volume of the cube? Enter your answer, as a decimal, in the box.

ra1l [238]

Volume = l x w x h
4.6 x 4.6 x 4.6=97.336

7 0

2 years ago

Read 2 more answers