Answer:
1/5 of a gallon
Step-by-step explanation:
1. If a and b vary inversely and b = 8 when a = 6:
b = k/ a
8 = k / 6
k = 6 * 8
k = 48
Function is:
b = 48 / a
2. When a = 30:
b = 48 / 30 = 8/5
b = 1.6
Answer:
area = 240 in²
Step-by-step explanation:
each triangle area = 1/2(4)(15) =30 in²
30 x 8 = 240 in²
Are you trying to write an equation?
y-8=2(x-3)
y=2x-6+8
y=2x+2
Step-by-step explanation:
You have to do first and second derivatives :
y = a sin 3x + b cos 3x
dy/dx = 3a cos 3x - 3b sin 3x
d²y/dx² = - 9a sin 3x - 9b cos 3x
Next, you have to compare it :
let d²y/dx² = ky,
-9a sin 3x - 9b cos 3x = k(a sin 3x + b cos 3x)
-9(a sin 3x + b cos 3x) = k(a sin 3x + b cos 3x)
Therefore, k is equals to 9.
