Write an absolute value for all real numbers at least 3 units from -2

Mathematics

1 answer:

guajiro [1.7K]3 years ago

6 0

{xi,...}|3|≥xsomething like this

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Divid 15 into two parts such that the sum of their reciprocal is 3/10

Klio2033 [76]

From the information obtained from the question, two equations can be created:

Let x and z be the two numbers (parts)

$\frac{1}{z} + \frac{1}{x} = \frac{3}{10}$ . . . . (1)

$z + x = 15$ . . . . (2)

By transposing (2), make 'z' the subject of the equation
$z = 15 - x$ . . . . (3)

By substituting (3) into equation (1) to find a value for x
$\frac{1}{(15 - x)} + \frac{1}{x} = \frac{3}{10}$

$\frac{15}{( 15 - x ) ( x )} = \frac{3}{10}$

$3 ( - x^{2} + 15 x ) = 150$

$3 x^{2} - 45x + 150 = 0$

⇒ $( x - 5 ) ( x - 10 ) = 0$

∴ either $( x - 5) = 0$ OR $( x - 10 ) = 0$

Thus x = 5 or x = 10

By substituting the values of x into (2) to find z

z + (5) = 15 OR z + (10) = 15

⇒ z = 10 OR z = 5

So, the two numbers or two parts into which fifteen is divided to yield the desired results are 5 and 10.

5 0

3 years ago

I was wondering if you can help me with math problem

oee [108]

Answer:

what is you math promblem.I think you are new to this app but if you want help with your homework you press the button that say ask a question and then u pick a subject and post it so other people could help you.But I can't help becuase you did not say what you need help on or your question

Step-by-step explanation:

7 0

3 years ago

A package of paper weighs 3\frac{4}{6} ounces. If Edward put 3\frac{1}{2} packages of paper on a scale, how much would they weig

Nadusha1986 [10]

Answer:

They would weight $1\frac{1}{21}$ ounces