Answer:
x + y = 500
215x + 615y = 187,500
Step-by-step explanation:
The first equation can show the amount of land. The farmer has 500 acres to plant corn, x, and cotton, y.
x + y = 500
The second equation can show the cost. The farmer has $187,500 to invest when corn costs $215 per acre and cotton costs $615 per acre.
215x + 615y = 187,500
The system of equations is
x + y = 500
215x + 615y = 187,500
Answer:
Step-by-step explanation:
let : y = x² - 8
calculate : x
x² = y + 8
x exist : y + 8 ≥ 0
x = √(y + 8) or x = - √(y + 8)
conclusion :
if : x ≥ 0 the inverse of f(x) is : g(x) = √(x + 8)
if : x ≤ 0 the inverse of f(x) is : h(x) = - √(x + 8)
9514 1404 393
Answer:
A = 4, B = 3
Step-by-step explanation:
You require that ...
0.30 × A = 0.40 × B
Then ...
B = (3/4)A . . . . . divide by 0.40
Any pair of numbers that satisfies this equation will be possible values of A and B. One such pair is (A, B) = (4, 3).
The result follows directly from properties of modular arithmetic:
That is,
means we can write 
for some integer 
. Then
and taken mod 12, the first term goes away, so
etc
The points of (9,1) after a 270 degree counterclockwise rotation would be (1,-9)
Hope this helps!
