154
Subtract $1060 from $5680 to get $4620 > divide $4620 by $30 to get 154 > 154 students can attend
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
Given the expression
-2 + 6.45z - 6 + (-3.25z)
First, classify like terms, constant with constant, coefficient-variable with coefficient-variable
-2 + 6.45z - 6 + (-3.25z)
= 6.45z + (-3.25z) - 2 - 6
Second, combining like terms
= 6.45z + (-3.25z) - 2 - 6
= 6.45z - 3.25z - 8
= 3.20z - 8
The simplest form is 3.20 - 8
[ Answer ]
[ Explanation ]
Rewrite 0.12 As A Fraction
-----------------------------
Rewrite Decimal As A Fraction With 1 As A Denominator
0.12 = 
Multiply To Remove Decimal Places
· 
= 
Find GCF, Reduce Fraction
= 
0.12 =
![\boxed{\boxed{[ \ Eclipsed \ ]}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7B%5B%20%5C%20Eclipsed%20%5C%20%5D%7D%7D)
8= 1 minute so you do 8x5 because he runs 5 miles and your answer will be C=40 minutes. Hope this help :)
