Answer:
The solutions are x=4, y=3. Cashews are $4 per pound and Peanuts are $3 per pound.
Step-by-step explanation:
let x = cashews
let y = peanuts
x + 2y = 10 - rosa's purchase
2x + y = 11 - sabrina's purchase
subtract 2x to isolate 'y'
y = 11 - 2x
x + 2(11 - 2x) = 10
x + 22 - 4x = 10 (Use the distributive property.)
-3x = -12
x = 4.00
Plug this into the original equations to find "y"
2(4) + y = 11
8 + y = 11
y = 3
4 + 2y = 10
2y = 6
y = 3
the solutions are: x = 4. y = 3.
Answer:
regular pay per hour =9.15
overtime pay per hour =13.725
Y - y₁ = m(x - x₁) slope(m) = 3 point (1, 4)
y - 4 = 3(x - 1)
y - 4 = 3x - 3
y = 3x - 3 + 4
3x - y = -1 <<< your answer
hope this helps, God bless!
Answer:
x-y-3=0
Step-by-step explanation:
Choose two common points on the line of intersection of the planes x − z = 3 and y + 2z = 3:
- 1st point: if x=0, then z=-3 and y=3-2z=3+6=9, so the 1st point is (0,-3,9);
- 2nd point: if x=3, then z=0 and y=3-2z=3-0=3, so the 2nd point is (3,0,3).
The perpendicular plane to the plane x+y-4z=6 is parallel to the vector with coordinates (1,1,-4) (normal vector of the given plane).
Hence, the equation of needed plane is
Thus,
