We can simply observe that.
- 0.777... is rational, because it is a number with infinite but repeating decimal part.
- 1/3 is rational, because it's the division between two integers
, so this is rational as well.
Since the product of two rational numbers is always rational, we have that

are all rationals, since they are the product of two rationals.
On the other hand, we have

and thus

which is irrational.
If the number of downloads of the standard version is x, and the high quality is x, 2.1*x+4.1*y=2761 (not 1010 due to that this is multiplied by 2.1 and 4.1, therefore representing the total amount of megabytes) In addition, there are 1010 total downloads, and it's either 2.1 MB or 4.1 MB, so x+y=1010.
We have
2.1x+4.1y=2761
x+y=1010
Multiplying the second equation by -2.1 and adding it to the first equation, we get 2y=2761-1010*2.1=640 and by dividing both sides by 2 we get y=320 downloads of the high quality version
Where a line goes across the y axis
Or in the formula y = mx + c, the y axis is represented by c
Answer:
solution is
[-3,-1]
Step-by-step explanation:
we are given

Firstly, we will find critical values
so, let's assume it is equal

now, we can break absolute sign
For
:

we can solve for x

Add both sides by 20


Divide both sides by -10
and we get

For
:

we can solve for x

Subtract both sides by 20


Divide both sides by 10
and we get

so, critical values are


now, we can draw a number line and locate these values
and then we can check inequality on each intervals
For
:
We can select any random value from this interval and plug that in inequality
and we get
we can plug x=-5



so, this is FALSE
For
:
We can select any random value from this interval and plug that in inequality
and we get
we can plug x=-2



so, this is TRUE
For
:
We can select any random value from this interval and plug that in inequality
and we get
we can plug x=0



so, this is FALSE
so, solution is
[-3,-1]