Acurve passes through the point (0,8) and has the property that the slope of the curve at every point p is three times the y-coordinate of p. what is the equation of the curve? y(x)=

solution:

slope is 3y

let one point is (x,y)

dy/dx = 3y

=> dy/y = 3dx

=> lny = 3x + c

substittue (0,8)

=> ln8 = c

so lny = 3x + ln8

=>ln(y/8) = 3x

=> y = 8e^(3x)

to have more of what you want like money

step-by-step explanation:

save it by not spending on unnecessary stuff and have more

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x