Answer is in screenshot. Can I now have Brainliest?
4p = 2p + 3c....p = popcorn, c = candy bars
c = 6
4p = 2p + 3(6)
4p = 2p + 18
4p - 2p = 18
2p = 18
p = 18/2
p = 9......whoa....9 bucks for popcorn....nothing is cheap anymore
Multiply the length*width*height to get the volume of the prism then, take out the difference between the volumes
Volume of the prism= 1018464
Then just subtract
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>
To find the equation we will put the values of x and y in the equations and then check if LHS=RHS.
Hence, Option B. y=5x+4 satisfies the system (1,9)
