we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form 
or 
where
k is the constant of variation
in this problem we have
the point 
so
substitute
therefore
<u>the answer is</u>
Answer:
[ where 
is number of months]
Step-by-step explanation:
Pool pass cost for first month =$30
Pool pass cost after first month = $15 for each month
The total amount charged by the pool can be expressed as a function 
where represents the number of months.
This can be simplified by using distribution.
Take 15 as greatest common factor.
∴
For 
∴ Amount charged by pool for 12 months = $195
Answer:
I see this
"Which relation is a function?
A {(-3,4),(-3,8),(6,8)}
B {(6,4),(-3,8),(6,8)}
C {(-3,4),(3,-8),(3,8)}
D {(-3,4),(3,5),(-3,8)}"
So the answer is none of these.
Please make sure you have the correct problem.
Step-by-step explanation:
A set of points is a function if you have all your x's are different. That is, all the x's must be distinct. There can be no value of x that appears more than once.
If you look at choice A, this is not a function because the first two points share the same x, which is -3.
Choice B is not a function because the first and last point share the same x, which is 6.
Choice C is not a function because the last two points share the same x, which is 3.
Choice D is not a function because the first and last choice share the same x, which is -3.
None of your choices show a function.
If you don't have that choice you might want to verify you written the problem correctly.
This is what I see:
"Which relation is a function?
A {(-3,4),(-3,8),(6,8)}
B {(6,4),(-3,8),(6,8)}
C {(-3,4),(3,-8),(3,8)}
D {(-3,4),(3,5),(-3,8)}"
Answer:
t=2x-2/-2x-5
Step-by-step explanation:
y=-2x-5
ty= 2x-2
add the y value in
t-2x-5=2x-2
combine like terms
t=4x+3
hope this helps :)
Answer:
120 units²
Step-by-step explanation:
Perimeter = PS + SQ + PQ
50 = SQ + SQ + (SQ -1)
51 = 3SQ
17 = SQ
17 -1 = 16 = PQ
The midpoint of the base is one leg of the right triangle whose other leg is the height of this isosceles triangle. That height is ...
h = √(17² -(16/2)²) = √225 = 15
Then the area is ...
A = (1/2)bh = (1/2)(16)(15) = 120 . . . . . square units
