An electrician charges a set fee for every house call and then charges an hourly ratedepending on how long the job takes. The to
tal cost of the electrician's services can bedetermined using the equation C = 65 + 60t, where t is the number of hours theelectrician spends at the house working. What is the slope of the equation and what isits interpretation in the context of the problem?
1 answer:
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We actually don't need to do any computation. By definition, the inverse function changes the role of input and output. So, if a function f maps x onto y, the inverse function maps y onto x.
You have to think like this: if the function makes a step further, the inverse function makes that same step back.
This means that the composition is always the identity function
. In fact,
So, for every function, you have
Answer:
The height of the water = 6.2 in. to the nearest tenth
Step-by-step explanation:
∵ The rate of flows of water into the tank = 8000 in.³/min.
∴ The volume of the water in the tank after 10 min. = 8000 × 10 = 80000 in.³
∵ The water take the shape of the tank
∴ The height of the water = volume of water ÷ Area of the base of the tank
∵ The tank is cylinder with diameter 128 in. and height 72 in.
∴ The area of the base of the tank = π(128/2)²
∴ The height of the water =
∴ The height of the water = 6.2 in. to the nearest tenth