So you want to make one of the equations equal to one of the placeholders exg y=x+3
so we have
x+y=2 and
-2x+y=2
I chose to make -2x+y=2 equal to y so
-2x+y=2
add 2x to both sides
y=2+2x
subsitute 2+2x for y in x+y=2
x+2+2x=2
add like terms
3x+2=2
subtract 2 from both sides
3x=0
x=0
subsitute x=0 in x+y=2
0+y=2
y=2
x=0
y=2
If he has 18 arrows and is shooting 3 at a time, divide, 18/3 = 6
He can shoot 6 times.
We could say that dimes = x and quarters = 60 -x
Then we use the value of the coins
10(x) + 25(60-x) = 945
I did 945 because I am doing this in cents not dollars but the answer would still work because it is asking for the amount of coins.
10x + 1500 - 25x = 945
-15x = -555
x = 37
Dimes = x = 37
Quarters = 60 - x = 60 -37 = 23
Function 1 has a maximum at y = 1
Now we need to find the maximum of Function 2 by completing the square:
-x^2 + 2x - 3
= -(x^2 - 2x) - 3
= -(x - 1)^2 +1 - 3
= -(x - 1)^2 - 2
Therefor the turning point is at (1, -2) and the maximum is at y = -2
-2 < 1, therefor Function 1 has the larger maximum
Answer:
Step-by-step explanation:
Given
Volume of baby pool = 52ft³
Required
Determine the volume of the medium pool
Volume of a cylinder is calculated as:
Hence, the volume of the baby pool is:
where r and h are the radius and height of the baby pool
Represent the height and radius of the medium pool as H and R
From the given parameters in the question
and 
and 
The volume of the medium cylinder is calculated as
Substitute 4h for H and 4r for R
Open bracket
Collect like terms
Recall that
So, the expression becomes
Hence, the medium pool can hold 
of water
