Answer:
-6
Step-by-step explanation:
You need to get it in Point-Slope form, or
y = mx + b
Isolate y by subtracting 6x
You are left with:
y = -6x + 24
M is the slope, so in this case, it is -6
Answer:
Profit = Rs 100
Profit %age = 6.25%
Step-by-step explanation:
Cost Price = Rs 80
Cost Price for 20 kg = Rs 1600
Selling Price = Rs 85
<u><em>Profit for 1 kg</em></u> = Rs 85 - Rs 80
=> Rs 5 (For 1 Kg)
<u><em>Profit for 20 kg:</em></u>
=> Rs 5*20
=> Rs 100
<u><em>Now Profit %age:</em></u>
=> 
=> 0.0625 * 100
=> 6.25%
This is a linear differential equation of first order. Solve this by integrating the coefficient of the y term and then raising e to the integrated coefficient to find the integrating factor, i.e. the integrating factor for this problem is e^(6x).
<span>Multiplying both sides of the equation by the integrating factor: </span>
<span>(y')e^(6x) + 6ye^(6x) = e^(12x) </span>
<span>The left side is the derivative of ye^(6x), hence </span>
<span>d/dx[ye^(6x)] = e^(12x) </span>
<span>Integrating </span>
<span>ye^(6x) = (1/12)e^(12x) + c where c is a constant </span>
<span>y = (1/12)e^(6x) + ce^(-6x) </span>
<span>Use the initial condition y(0)=-8 to find c: </span>
<span>-8 = (1/12) + c </span>
<span>c=-97/12 </span>
<span>Hence </span>
<span>y = (1/12)e^(6x) - (97/12)e^(-6x)</span>
Since A and B are parallel lines, the two marked angles are congruent.
Then, 2x + 12 = x + 25
We can solve for x:
x = 13
Answer:
3/500
Step-by-step explanation:
3/5 x 1%
=> 3/5 x 1/100
=> 3/500
Hope it helps you