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# Tutor profile: Dana C.

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Dana C.
Math-Loving Tutor who wants to help!
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## Questions

### Subject:Basic Math

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Question:

Solve the following equation: 3739 + 258 = ?

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Dana C.

This equation would by adding the two numbers together. The solution is: 3739 + 258 = 4047

### Subject:Calculus

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Question:

Find the inverse function of f(x) = ln(2x-3)+2

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Dana C.

y-2 = ln(2x-3) This becomes the following by solving for x: 2x-3 = e^(y-2) 2x = e^(y-2) + 3 x = 1/2(e^(y-2)+3) Now, interchange x and y: y = 1/2(e^(x-2)+3) Now, the inverse function will be: f^-1(x) = 1/2(e^(x-2)+3)

### Subject:Algebra

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Question:

The sum of three consecutive integers is 189. Find the integers.

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Dana C.

In order to find the integers, you must set up an algebraic equation to help. In this case, that equation would be the following: x + (x+1) + (x+2) = 189. This would be solved by combining similar unknown and known terms, until the equation can be solved. So this equation would become: x + x + 1 + x + 2 = 189 Now, we combine similar terms to get: 3x + 3 = 189 Now, separate the knowns and unknowns to get: 3x = (189 - 3) 3x = 186 This gives us our answer of: x = 186/3 x = 62 So therefore, our integers are x = 62, (x + 1) = 63, and (x + 2) = 64. Double check your work, so: 62 + 63 + 64 = 189. Good!

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