What is 1/2 minus 1/3

Mathematics

1 answer:

Marina CMI [18]2 years ago

3 0

1/2 minus 1/3 is 0.16666666666

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The sum of reciprocals of rehman’s ages 3 years ago and 5 years from now is 1/3. Find his present age

Afina-wow [57]

Answer:

His age is 7 years.

Step-by-step explanation:

Let Rehman's present age be x years.

1 / (x - 3) + 1 /(x + 5) = 1/3

Multiply through by the LCD 3(x - 3)(x + 5):

3(x + 5) + 3(x - 3) = (x + 5)(x - 3)

3x + 15 + 3x - 9 = x^2 + 2x - 15

x^2 + 2x - 6x - 30 + 9 = 0

x^2 - 4x - 21 = 0

(x - 7)(x + 3) = 0

x = 7 (answer).

6 0

2 years ago

Please helpp I would really appreciate it.

fiasKO [112]

I got 3/8, hope this helps.

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3 years ago

Establish for which constants c the following function is a density.

Valentin [98]

By "density" I assume you mean "probability density function". For this to be the case for $f(x)$ , we require

$\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=1$

Since

$f(x)=\begin{cases}cx^{1/2}&\text{for }0$

you have

$\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=\int_0^2cx^{1/2}\,\mathrm dx=\dfrac{2c}3x^{3/2}\bigg|_{x=0}^{x=2}=\dfrac{2^{5/2}c}3=1$

which means

$c=\dfrac3{2^{5/2}}=\dfrac3{4\sqrt2}$