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Licemer1 [7]
3 years ago
14

Question: what would be the vertical intercept of the line and what would it represent? Help me please ill give brainliest

Mathematics
1 answer:
stellarik [79]3 years ago
5 0
The vertical intercept is 450, as the population is going down by 20 each hour. It represents the starting population as 0 hours it is 450.
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Determine,in each of the following cases, whether the described system is or not a group. Explain your answers. Determine what i
zheka24 [161]

Answer:

(a) Not a group

(b) Not a group

(c) Abelian group

Step-by-step explanation:

<em>In order for a system <G,*> to be a group, the following must be satisfied </em>

<em> (1) The binary operation is associative, i.e., (a*b)*c = a*(b*c) for all a,b,c in G </em>

<em>(2) There is an identity element, i.e., there is an element e such that a*e = e*a = a for all a in G </em>

<em> (3) For each a in G, there is an inverse, i.e, another element a' in G such that a*a' = a'*a = e (the identity) </em>

<em> </em>

If in addition the operation * is commutative (a*b = b*a for every a,b in G), then the group is said to be Abelian

(a)  

The system <G,*> is not a group since there are no identity.  

To see this, suppose there is an element e such that  

a*e = a

then  

a-e = a which implies e=0

It is easy to see that 0 cannot be an identity.

For example  

2*0 = 2-0 = 2

Whereas

0*2 = 0-2 = -2

So 2*0 is not equal to 0*2

(b)

The system <G,*> is not a group either.

If A is a matrix 2x2 and the determinant of A det(A)=0, then the inverse of A does not exist.

(c)

The table of the operation G is showed in the attachment.

It is evident that this system is isomorphic under the identity map, to the cyclic group

\mathbb{Z}_{5}

the system formed by the subset of Z, {0,1,2,3,4} with the operation of addition module 5, which is an Abelian cyclic group

We conclude that the system <G,*> is Abelian.

Attachment: Table for the operation * in (c)

4 0
3 years ago
Select each expression that has a value of 15 when x = 15.
Tatiana [17]

what are the expressions?

please put the expressions so that i can help you! c:

6 0
3 years ago
Read 2 more answers
Write a function describing the relationship of the given variables.
Oliga [24]

Answer:

The function describing the relationship of V and t is V = 3t²

Step-by-step explanation:

* Lets explain the meaning of direct variation

- The direct variation is a mathematical relationship between two

  variables that can be expressed by an equation in which one

  variable is equal to a constant times the other

- If Y is in direct variation with x (y ∝ x), then y = kx, where k is the

 constant of variation

* Now lets solve the problem

# V is varies directly with the square  of t

- Change the statement above to a mathematical relation

∴ V ∝ t²

- Chang the relation to a function by using a constant k

∴ V = kt²

- To find the value of the constant of variation k substitute V and t

 by the given values

∵ t = 6 when V = 108

∵ V = kt²

∴ 108 = k(6)² ⇒ simplify the power 2

∴ 108 = 36k ⇒ divide both sides by 36 to find the value of k

∴ 3 = k

- The value of the constant of variation is 3

∴ The function describing the relationship of V and t is V = 3t²

3 0
3 years ago
Using the point-slope formula, what is the equation of the line that passes through the points (1,5) and (0, 0)?
DerKrebs [107]

Answer:

y =5x

Step-by-step explanation:

y_{1}-y_{2}  = m(x_{1} - x_{2} )

(5 - 0) = m(1 - 0)

5 = m(1)

5 = m

y_{1}-y_{2}  = m(x_{1} - x_{2} )

y - 5 = 5(x - 1)

y - 5 = 5x - 5

y = 5x -5 + 5

y = 5x

7 0
3 years ago
A dealer gains 16% by selling a mop for rs.78300.but due to competition in the market, he decides to make a profit of only 10%.
vesna_86 [32]

Answer:

The correct answer is -  72,349.2

Step-by-step explanation:

Given:

selling price = 7234.92

Initial profit = 16%

we know:

selling price = cost price + profit

Solution:

78300 = cp + 16*cp/100

profit = 78300*16/100 = 12528

cost price = 78300 - 12528 = 65772

then the profit on 10%

= 65772*10/100

= 6577.2

the new selling price = 65772+6577.2

= 72,349.2

3 0
3 years ago
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