Step-by-step explanation:
Let x = the number of years since the first year and let y = the total number of plants.
Roses: y = 5 + 2x
Tulips: y = 20 – 3x
You can use elimination to solve.
y = 5 + 2x
(-)y = 20 – 3x
0 = -15 + 5x
15 = 5x
3 = x
This means that 3 years after the first year, the number of rose bushes equals the number of tulip plants.
The graphs appear to
intersect at (3, 11) which verifies that x=3
Answer:
No idea for this question
Answer:
I think E
Step-by-step explanation:
You know the shortest building is 25 m.
to find the rest, use trigo so Tan(20)=opposite/adjacent.
Adjacent is 50. Do the math and add the answer with 25.
You can start by subtracting different equations from each other.
3x + 2y + 3z = 1
subtract
3x + 2y + z = 7
2z = -6
divide by 2
z = -3
add the following two expressions together:
3x + 2y + z = 7
3x + 2y + 3z =1
6x + 4y + 4z = 8
subtract the following two expressions:
6x + 4y + 4z = 8
5x + 5y + 4z = 3
x - y = 5
^multiply the whole equation above by 3
3x - 3y = 15
subtract the following two expressions:
3x - 3y = 15
3x + 2y = 10
-5y = 5
divide each side by -5
y=-1
take the following expression from earlier:
x - y = 5
substitute y value into above equation
x - - 1 = 5
2 negatives make a positive
x + 1 = 5
subtract 1 from each side
x = 4
Therefore x = 4, y = -1, z = -3
I checked these with all 3 equations and they worked :)
(it's quite complicated, comment if you don't understand anything) :)