Answer:
Step-by-step explanation:
1/3x+2/3x-2/3x: x equasion
3/4+(-1/4)
1/3x + 2/4(or 1/2)
1/3x+1/2
(note that positive 2/3 and -2/3 cancel out)
Answer:
y = Ce⁻ᵗ − 7
Step-by-step explanation:
dy/dt = -y − 7
dy/dt = -1 (y + 7)
Separate the variables.
dy / (y + 7) = -1 dt
Integrate both sides.
ln│y + 7│= -t + C
Solve for y.
y + 7 = e⁻ᵗ⁺ᶜ
y + 7 = eᶜ e⁻ᵗ
eᶜ is another arbitrary constant, so:
y + 7 = Ce⁻ᵗ
y = Ce⁻ᵗ − 7
I'm not sure what it is that you're looking for.
That'sa trinomial expression you've got there.
Its value depends on the value of theta.
Answer:
Step-by-step explanation:
y = 3x + 4, and
y = x + 2
------------------
Use the vale of y in the 2nd equation in the first:
y = 3x + 4
x + 2 = 3x + 4
-2x = 2
x = -1
Use this value of x (-1) in either equation to find y:
y = x + 2
y = -1 + 2
y = 1
==========
(-1,1)
See attached graph.
Answer: 4*3*4=48
(*) means multiplication in case you don't know.
Step-by-step explanation: When finding the volume of a rectangular prism or cube, you just multiply the length, width, and Height.