Please help! This is the third time I asked
1 answer:
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Answer:
Kevin must add 1.2 gallons of 100% lemon juice to make a mixture of 50% lemon and 50% lime.
Step-by-step explanation:
Given : Kevin wants to make a mixture that is 50% lemon juice and 50% lime juice. 100% lesson juice should he add to a juice mixture that is 40% lemon juice and 60% lime juice to make 6 gallons of the 50% lemon 50% lime juice mixture.
To find : How much 100% lesson juice should he add to a juice mixture.
Solution :
According to question, we wants to make mixture where lemon = lime
We have to make 6 gallons, where
40% lemon juice require to make 6 gallon
i.e,
and 60% lime juice require to make 6 gallon
i.e,
Now, to make them equal subtract both of them
Therefore, he must add 1.2 gallons of 100% lemon juice to make a mixture of 50% lemon and 50% lime.
For this case we have the following function:
We want to find the inverse of the function.
The first thing we should do is rewrite the function:
From here, we clear the value of x.
We have then:
Then, returning the variable changes, we have that the inverse function is:
Answer:
The inverse function of f (x) is: