Tutor profile: Dana C.
Subject: Basic Math
Solve the following equation: 3739 + 258 = ?
This equation would by adding the two numbers together. The solution is: 3739 + 258 = 4047
Find the inverse function of f(x) = ln(2x-3)+2
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)
The sum of three consecutive integers is 189. Find the integers.
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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