Answer:
Find the Domain and Range
Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.
Domain:
(
−
∞
,
∞
)
,
{
x
|
x
∈R
}
Range:
(
6
,
∞
)
,
{
y
|
y
>
6
}
Step-by-step explanation:
Answer:
Option B is correct that is amount she is getting per bottle is $0.15
Step-by-step explanation:
We have been given the information that melisande collected 14 bottles on saturday and 9 bottles on sunday
That means she has collected total of 23 bottles
Let us assume that the amount she is paid for recycling is $b
Since, she is left with $3.20 after the amount she gets for bottles we will get the equation below:
23b=3.20
Now, since she has to pay one time service fee equation will become
23b -0.25 =3.20
After simplification we will get
23b=3.20+0.25=3.45
b=3.45/23=.15
b=$0.15
Therefore, The amount she is getting per bottle is $0.15
Answer:
B false
Step-by-step explanation:
The Theorem states that for a right triangle,
a^2 + b^2 = c^2
where c is the hypotenuse and a and b are the two shorter sides.
So does our given lengths work? Let's see:
16^2+30^2=35^2
256+900=1225
1156=1225
1156≠1225
And as we can see, the two sides do not equal each other, so this means the sides do not make a right triangle.
Answer:
The given system as (3,3) as its solution.
Step-by-step explanation:
Here, the given system of the equation is:
4 x + 2 y = 18
................ (1)
2 x + 3 y = 15 ............... (2)
Now, to use the elimination method, w need to eliminate any of the variable.
Eliminate the variable x in the given system.
Multiply equation (2) with -2 we get,
(2 x + 3 y = 15 )(-2) ⇒ -4x - 6y = -30 ....... (3)
Add (1) and (3), we get:
4 x + 2 y -4x - 6y = 18 -30
or, - 4 y = - 12
or, y = 12/4 = 3 ⇒ y = 3
Putting in (1), we get
4x + 2(3) = 18 or, 4x = 18 - 6 = 12
or, x = 3
(x,y) = (3,3)
Hence, the above system as (3,3) as its solution.
