Answer:
12 - x
Step-by-step explanation:
y = -x + 12
Replace x with y.
x = -y + 12
Solve for y, x = -y + 12
= 12 - x
Hope this helps, please mark brainliest if possible. :)
Can’t determine slop there is no picture of lines
Answer:
22.143
Step-by-step explanation:
49.419-27.276=22.143
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
The total cost for the entire life span of the deep fryer is computed below:
Brand P total cost =Purchase price + total electricity cost
= $144+($0.49x8x12x6)
=$426.24
Brand Q total cost =(Purchase price x 3)+ total electricity cost
=( $37.5x3)+($0.75x 8x12x6)
= $544.5
Difference = Brand Q-Brand P
=$544.5-$426.24
=$118.26
Robert will have to choose Brand P because it will be cheaper by $118.26 than Brand Q in their entire lifetime.
