Answer:
The intercept is 5.
Step-by-step explanation:
Since we already have the slope of -1/6, we can use that and either point in point-slope form to get the equation in slope-intercept.
y - y1 = m(x - x1)
y - 3 = -1/6(x - 12)
y - 3 = -1/6x + 2
y = -1/6x + 5
Therefore, b= 5
C. Why? well for A. 47n means 47 * N , that's not the answer, for b.well I don't need to explain that. D.47 / N is also not correct because that's just how things are.
Answer:
![p=24](https://tex.z-dn.net/?f=p%3D24)
(Please vote me Brainliest if this helped!)
Step-by-step explanation:
![p-9=15](https://tex.z-dn.net/?f=p-9%3D15)
![\mathrm{Add\:}9\mathrm{\:to\:both\:sides}](https://tex.z-dn.net/?f=%5Cmathrm%7BAdd%5C%3A%7D9%5Cmathrm%7B%5C%3Ato%5C%3Aboth%5C%3Asides%7D)
![p-9+9=15+9](https://tex.z-dn.net/?f=p-9%2B9%3D15%2B9)
![\mathrm{Simplify}](https://tex.z-dn.net/?f=%5Cmathrm%7BSimplify%7D)
![p=24](https://tex.z-dn.net/?f=p%3D24)
Answer:
yp = -x/8
Step-by-step explanation:
Given the differential equation: y′′−8y′=7x+1,
The solution of the DE will be the sum of the complementary solution (yc) and the particular integral (yp)
First we will calculate the complimentary solution by solving the homogenous part of the DE first i.e by equating the DE to zero and solving to have;
y′′−8y′=0
The auxiliary equation will give us;
m²-8m = 0
m(m-8) = 0
m = 0 and m-8 = 0
m1 = 0 and m2 = 8
Since the value of the roots are real and different, the complementary solution (yc) will give us
yc = Ae^m1x + Be^m2x
yc = Ae^0+Be^8x
yc = A+Be^8x
To get yp we will differentiate yc twice and substitute the answers into the original DE
yp = Ax+B (using the method of undetermined coefficients
y'p = A
y"p = 0
Substituting the differentials into the general DE to get the constants we have;
0-8A = 7x+1
Comparing coefficients
-8A = 1
A = -1/8
B = 0
yp = -1/8x+0
yp = -x/8 (particular integral)
y = yc+yp
y = A+Be^8x-x/8