each person will get 1 and a half bag of popcorn. to draw a model you can either do a table or you can draw graph
-3 + 7 = 4
4 - 7 = -3
I think that's what you want.
ANSWER: 1:42 PM
First find how many hours 71/2 hours is. Half of 71 is 35.5. Do one day back... So 35.5 hour becomes 11.5 hours and 2:12 AM still stays the same. Now take away 30 min (0.5) from 11.5 hours and from 2:12 AM. Now the numbers are 11 hours and 1:42 AM. Subtract 1 hour from both amounts, 10.5 hours and 12:42 PM. Now, subtract 11 hours from both amounts again. 0 hours left and 1:42 PM.
Answer:
y = (11x + 13)e^(-4x-4)
Step-by-step explanation:
Given y'' + 8y' + 16 = 0
The auxiliary equation to the differential equation is:
m² + 8m + 16 = 0
Factorizing this, we have
(m + 4)² = 0
m = -4 twice
The complimentary solution is
y_c = (C1 + C2x)e^(-4x)
Using the initial conditions
y(-1) = 2
2 = (C1 -C2) e^4
C1 - C2 = 2e^(-4).................................(1)
y'(-1) = 3
y'_c = -4(C1 + C2x)e^(-4x) + C2e^(-4x)
3 = -4(C1 - C2)e^4 + C2e^4
-4C1 + 5C2 = 3e^(-4)..............................(2)
Solving (1) and (2) simultaneously, we have
From (1)
C1 = 2e^(-4) + C2
Using this in (2)
-4[2e^(-4) + C2] + 5C2 = 3e^(-4)
C2 = 11e^(-4)
C1 = 2e^(-4) + 11e^(-4)
= 13e^(-4)
The general solution is now
y = [13e^(-4) + 11xe^(-4)]e^(-4x)
= (11x + 13)e^(-4x-4)
Answer:
The answer is c = 2 + 3d .
Step-by-step explanation:
It is given that a cab ride cost $2 which is a fixed amount and charges additional $3 per mile. So you have to make an equation of c in terms of d :
Let c be the cost,
Let d be the distance,
c = 2 + 3d
