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Basic Algebra

Factoring a Cubic Equation

Question: Each of the three dimensions of a cube with a volume of x^3 cubic centimeters is increased by a whole number of centimeters. If the new volume is x^3 + 10x^2 + 31x + 30 cubic centimeters and the new height is x + 2 centimeters, then what are the new length and width?


How do I evaluate (log subscript 5) 9?


How do I solve the equation (log subscrpt 4) x =3?


How do I write (log subscript 2) 48 minus (lob subscript 2)3 as a single logarithm?

Logarithmic functions

I have a question regarding logarithmic functions-- the problem is this log base 4 (64x^5) this is to be expanded. I have factored 64 but I still am not coming up with the correct answer. I have 4+5 log 4 x. The book has 3+5log4x. What am I doing wrong???? Is the book wrong? I have been trying to figure this out but just

Mathematical expression for functions

Agents determine the cost for maintaining and hiring a hall by charging a flat fee of $55 for maintenance and the an hourly fee of $45 per hour. The maximum fee for the whole day's use is $595 a)Write the mathematical expression for the function used to generate the cost of hiring the hall.What would the domain and the range be


I have a question regarding natural logarithms. The question is this-- ln x + ln 7 We are supposed to condense this and write as a single logarithm whose coefficient is one.

Radical Equations

Simplify the radical expression : 8730;300 Solve the radical equation : 2x + 4 = 4 Simplify (fraction) : 5y/16 + 7y/16 - 3y/16 Simplify (fraction) : 5/8 15/16 +1/2 Solve (fraction) : x/6 - x/8 = 1

Recursion formula

What would the recursion formula be for that problem. Please see attachment.

Need these Algebra problems explained

(See attached file for full problem description) --- ALGEBRA Please add a bit more detail to each problem as to how the answers were derived. Thanks! 1. Perform the indicated operation: (x3 - 2x2 - 4x + 3)  (x - 3) Since x3 - 2x2 - 4x + 3 = (x - 3) ( ), we have (x3 - 2x2 - 4x + 3)  (x - 3) =