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2 years ago

The reciprocal of a number plus the reciprocal of three times the number equals 1/3. find the number.

Mathematics

1 answer:

Aleksandr-060686 [28]2 years ago

6 0

1/x + 1/3x = 1/3
3+1=x
x=4

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What type of stock receives an equal part of the profits on each share to be distributed after all other obligations of a compan

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I think the answer is A. Common

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3 years ago

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What is the explicit equation for the sequence of 25, 21, 17, 13?

OlgaM077 [116]

Answer:

You are taking away 4 each time

Step-by-step explanation:

25 - 4 = 21

21 - 4 = 17

17 - 4 = 13

13 - 4 = 9

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3 years ago

I am not sure how to slove

notsponge [240]

First .... the limit of the given function is NOT EQUAL to 5 (it diverges so it has no limit). There is a typo. The 14 should be positive.

$\lim_{x \to\ 7} \bigg(\dfrac{x^2-9x+14}{x-7}\bigg)=5$

The precise definition of a limit is:

$\text{If for every } \epsilon>0\text{ there exists a }\delta >0\text{ such that}\\|f(x)-L|$

Given:

$f(x) = \dfrac{x^2-9x+14}{x-7}\\\\L=5\\\\a=7\\\\\\|f(x)-L|$

⇒ $\epsilon = \delta$

When ε = 0.1, δ = 0.1

When ε = 0.01, δ = 0.01

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2 years ago

Function 1 is defined by the equations r=3/4t +5<br> Function 2 is defined by the following table

Dvinal [7]

Function 2 has a greater y-intercept

<h3>Graphs</h3>

Graphs can be used to represent functions, equations, tables and relations

<h3>Equations</h3>

The equation of function 1 is given as:

$r =\frac 34t + 5$

To calculate the y-intercept, we set t to 0.

So, we have:

$r =\frac 34 \times 0 + 5$

$r =5$

For the table of function 2, the y-intercept is 5.25

By comparison:

5.25 is greater than 5

Hence, function 2 has a greater y-intercept

Read more about graphs and functions at:

brainly.com/question/3939432

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2 years ago

The length of the longer leg of a right triangle is 19ft more than five times the length of the shorter leg. the length of the h

dangina [55]

Let x represent the length of the shorter leg.

Longer leg: 5x +19
Hypotenuse: 5x +20

Pythagorean theorem:
.. x^2 +(5x +19)^2 = (5x +20)^2
.. x^2 +25x^2 +190x +19^2 = 25x^2 +200x +20^2 . . . . . . eliminate parentheses
.. x^2 -10x -39 = 0
.. (x -13)(x +3) = 0
.. x = 13 . . . . . . . . . . leg lengths must be positive

The side length of the triangle are 13, 84, 85 feet.

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3 years ago