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Basic Algebra

Logarithmic Functions Expanded

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

Expression, Domain, and Range

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

Natural log and condensed coefficient

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.

Finding a Zero of a Polynomial Function

Finding a zero of a polynomial function. I know that we the zeros by setting f(x) equal to 0 and solving the equation. The book only gives two examples--so I am pretty much stuck. The problem is: f(x)=2(x-5)(x+4)^2 This is what I have done so far-- 0=2(x-5)(x+4)^2 0=2(x-5) + (x+4)^2.

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) =

Domain, X- & Y-Intercepts, Asymptotes, Concavity & Inflection

F(x) = e^x/x For f(x), find the following: 1. domain of f 2. y intercepts of f 3. x intercepts of f 4. horizontal asymptote 5. vertical asymptote 6. oblique asymptotes 7. intervals where f is increasing and decreasing: 8. relative minima of f and relative maxima of f. 9. intervals where f is concave down 10.


Use the discriminant to determine whether each quadratic polynomial can be factored, then factor the ones that are not prime. / Solve each inequality. State the solution set using interval notation and Graph it. PLEASE SEE ATTACHMENT/ THANKS

Functions and Graphs

Hi--we are currently working on composite functions. I am having difficulty getting started with this problem. A company that sells radios has a yearly fixed cost of $600,000. It costs the company $45 to produce each radio. Each radio will sell for $65. The company's costs and revenue are modeled by the following functio