Answer:
x = gym memberships, and y = bottles of water
30x + 7y = 1050.....when x = 28
30(28) + 7y = 1050
840 + 7y = 1050
7y = 1050 - 840
7y = 210
y = 210/7
y = 30....so he would have to sell 30 water bottles
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given y = coskt
y' = -ksinkt
y'' = -k²coskt
Substitute this y'' into the expression 25y'' = −16y
25(-k²coskt) = -16(coskt)
25k²coskt = 16(coskt)
25k² = 16
k² = 16/25
k = ±√16/25
k = ±4/5
b) from the DE 25y'' = −16y
Rearrange
25y''+16y = 0
Expressing using auxiliary equation
25m² + 16 = 0
25m² = -16
m² = -16/25
m = ±4/5 I
m = 0+4/5 I
Since the auxiliary root is complex number
The solution to the DE will be expressed as;
y = Asinmt + Bsinmt
Since k = m
y = Asinkt+Bsinkt where A and B are constants
Answer:
No
Step-by-step explanation:
There needs to be one dot on 3, one dot on 4, two dots on 5, and two dots on 6.
-10.22, -7.89, -5.23, +34.98, +51.02, +51.22 because the closer a number is to 0 the smaller it is.
Answer:
There are infinite solutions because they are the same equation
2D + 1G = 12
and
4D + 2G = 24 (divide by 2) 2D + G = 12
2D + 1G = 12 is the same as 2D + 1G = 12
