F(x) = x2+2x-3 = 1
g(x) = x2-9 = -7
(f/g)(4) = (1/-7)(4) = (-0.14)(4) = -0.57
(f+g)(4) = (1+(-7))(4) = (-6)(4) = -24
Answer:
x=-5
Step-by-step explanation
The first box has eight x's and six 1's which means that it would be written as 8x+6
The second box has four x's and fourteen -1's which means that it would be written as 4x-14
You set them equal to one another
8x+6=4x-14
You subtract 4x from both sides
4x+6=-14
Subtract 6 on both sides
4x=-20
Divide 4 on both sides
x=-5
Hope it helps :))
Answer:
Hmm tough question I'm pretty sure the answer is pj.
Step-by-step explanation:
In the question they are very upfront with the answer, it's a trick question to make you believe it's hard or there is no answer. So, with that being said the answer is pj.. Happy to help anytime. :)
Is that all the question says can you give it into more details
So I can help you out
Answer: The amount of salt in the tank after 8 minutes is 36.52 pounds.
Step-by-step explanation:
Salt in the tank is modelled by the Principle of Mass Conservation, which states:
(Salt mass rate per unit time to the tank) - (Salt mass per unit time from the tank) = (Salt accumulation rate of the tank)
Flow is measured as the product of salt concentration and flow. A well stirred mixture means that salt concentrations within tank and in the output mass flow are the same. Inflow salt concentration remains constant. Hence:

By expanding the previous equation:

The tank capacity and capacity rate of change given in gallons and gallons per minute are, respectivelly:

Since there is no accumulation within the tank, expression is simplified to this:

By rearranging the expression, it is noticed the presence of a First-Order Non-Homogeneous Linear Ordinary Differential Equation:
, where
.

The solution of this equation is:

The salt concentration after 8 minutes is:

The instantaneous amount of salt in the tank is: