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irina [24]
3 years ago
9

Is the statement ""For every natural number n ≥ 1 there exists a directed graph of n vertices for which every vertex has an inde

gree equal to its outdegree"" TRUE or FALSE?
Mathematics
1 answer:
Semenov [28]3 years ago
5 0

Answer:

The given statement is false.

Step-by-step explanation:

Reason

let D be a directed graph with 'n' no of vertices and 'E' edges.

where 'n'=1.  thus D =(n,E).

In degree: in directed graph the number of incoming edges on a vertex is known as indegree.

it is denoted as deg ⁺(n).

And now we know that in a directed graph

if deg ⁻(n)= deg ⁺(n) for each vertex n.

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Notebooks cost a $1.20 each this week and they will be on sale for $0.80 what percentage is the sale
ozzi

We can use algebra.

So, what rate time 1.20 = .80


Let x = the rate (in a decimal form)

1.20x = .80

x = .6666666666

Now, we need to multiply by 100 to get a percentage.

66.66 The price is 66% of the regular price.


They marked it off

33.33%

6 0
3 years ago
Read 2 more answers
Determine o Conjunto Solução da equação do 2º grau abaixo. Deixe seus cálculos registrados.
scZoUnD [109]

Answer:

x = 15, x = 10

Step-by-step explanation:

6 0
3 years ago
Three to the fourth power.<br> Write the numerical answer only.
irakobra [83]
30000 is the answer I think
8 0
3 years ago
The table below represents a linear function in the equation represents a function. table numbers are X: -1,0,1. f(x): -3,0,3. G
Alexxx [7]
A)
SLOPE OF f(x)
To find the slope of f(x) we pick two points on the function and use the slope formula. Each point can be written (x, f(x) ) so we are given three points in the table. These are: (-1, -3) , (0,0) and (1,3). We can also refer to the points as (x,y). We call one of the points ( x_{1} , y_{1} ) and another ( x_{2} , y_{2} ). It doesn't matter which two points we use, we will always get the same slope. I suggest we use (0,0) as one of the points since zeros are easy to work with.

Let's pick as follows:
( x_{1} , y_{1} )= (0.0)
( x_{2} , y_{2} )= (1.3)

The slope formula is: m= \frac{y_{2} - y_{1} }{ x_{2}- x_{1}  }
We now substitute the values we got from the points to obtain.
m= \frac{3-0}{ 1-0 } = \frac{3}{1}=3

The slope of f(x) = 3

SLOPE OF g(x)
The equation of a line is y=mx+b where m is the slope and b is the y intercept. Since g(x) is given in this form, the number in front of the x is the slope and the number by itself is the y-intercept.

That is, since g(x)=7x+2 the slope is 7 and the y-intercept is 2.

The slope of g(x) = 2

B)
Y-INTERCEPT OF g(x)
From the work in part a we know the y-intercept of g(x) is 2.

Y-INTERCEPT OF f(x)
The y-intercept is the y-coordinate of the point where the line crosses the y-axis. This point will always have an x-coordinate of 0 which is why we need only identify the y-coordinate. Since you are given the point (0,0) which has an x-coordinate of 0 this must be the point where the line crosses the y-axis. Since the point also has a y-coordinate of 0, it's y-intercept is 0

So the function g(x) has the greater y-intercept
5 0
3 years ago
A fire truck parks 16 feet away from a building. The fire truck extends its ladder 30 feet to the very top of the building. How
Anvisha [2.4K]

Answer:

46 feet high!

Step-by-step explanation:

8 0
3 years ago
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