Hey!
Hope this helps...
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Generally what I like to do, to solve questions like this is to substitute the given answers into the equation to solve this faster...
Equation: x^2 + 10x + 12 = 36
A.) (-12)^2 + 10(-12) + 12 = 36
144 - 120 + 12 = 36
24 + 12 = 36
36 = 36
(2)^2 + 10(2) + 12 = 36
4 + 20 + 12 = 36
24 + 12 = 36
36 = 36
Since we found the answer with the first try, we already know the correct answer is A.
So...
The Correct answer is: A.) x=-12 or x=2
Step-by-step explanation:
There is figures in you question. Please check your question.
Answer:
Step-by-step explanation:
Amount of brine = 100 gal
amount of salt = 80 lb
rate of water running = 4 gal / min
Let A be the amount of salt in lb in the tank at any time t.
(a) dA/dt = rate of salt in - rate of salt out
Rate of salt in = 0
rate of salt out = A x 4 / 100 = A / 25 lb/min
So, dA/dt = 0 - A/25 = - A/25 lb/min
When t = 0, A = 80 lb
So,
(b) Now, A = 40 lb
So,
take log on both the sides
t = 17.3 minutes
Divide 4 1/2 = 4.5 by 4 you would get 4.125. 4.125 cups of flour are needed to make one fruitcake.
