1.7602899999999995x + 49.138y = 182.23671592000002
Answer:
41.04 g/L
Step-by-step explanation:
The relationship is modeled by the following function:
S(t) = 500*e^(-0.25*t)
where t is time elapsed after the dilution begins (in hours) and S(t) the concentration of salt in the tank (in g/L)
Replacing with t = 10
S(t) = 500*e^(-0.25*10)
S(t) = 41.04 g/L
Answer:
x = -3, x = 0 is a extraneous solution
Step-by-step explanation:
Step 1: Cross-multiply
3x² = 4x² + 3x
Step 2: Isolate <em>x</em>'s
0 = x² + 3x
Step 3: Factor
0 = x(x + 3)
Step 4: Find roots
x = 0, -3
Step 5: Double check work
Plug in both to see if they both work. Only x = 0 should be extraneous. We now have our answer!
