Answer: 1/2
Step-by-step explanation:
1) Put the equation into y=kx form
- add 4x to both sides
- divide by 8 on both sides to get y=1/2x
2) k is the constant of proportionality
Answer:
y = 2/3x +4
Step-by-step explanation:
The y intercept is where the line crosses the y axis
y intercept =4
We can find the slope using two points on the line
(0,4) and (3,6)
m = (y2-y1)/(x2-x1)
= (6-4)/(3-0)
= 2/3
The equation of a line in slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 2/3x +4
Answer:
0.8229
Step-by-step explanation:
The answer is
t dy / dt + dy / dt = te ^ y
I apply common factor 1/dt*(tdy+dy)=te^y
I pass "dt" tdy+dy=(te^y)*dt
I apply common factor (t+1)*dy=(te^y)*dt
I pass "e^y" (1/e^y)dy=((t+1)*t)*dt
I apply integrals ∫ (1/e^y)dy= ∫ (t^2+t)*dt
by property of integrals ∫ (1/e^y)dy= ∫ (e^-y)dy
∫ (e^-y)dy= ∫ (t^2+t)*dt
I apply integrals
-e^-y=(t^3/3)+(t^2/2)+C
I apply natural logarithm to eliminate "e"
-ln (e^-y)=-ln(t^3/3)+(t^2/2)+C
y=ln(t^3/3)+(t^2/2)+C
Hi<span>, <span>Jummydorsainvil</span>!
This is the graph for your inequality z>-4. (see below)</span>