Explore BrainMass
Share

# Basic Algebra

### College Algebra : Logarithms and Exponents

(See attached file for full problem description) Please help with the following: 6, 10, 12, 20, 26, 30, 34, 40, 46

### College Algebra : Graphs of Logarithmic Functions (10 Problems)

(See attached file for full problem description) Please help with the following questions: 2, 6, 10, 14, 18, 26, 36, 40, 44, 46

### College Algebra: Logarithms and Exponents

(See attached file for full problem description) Please help with the following questions: 2,4,6,8,10

### College Algebra : One-to-one Functions and Inverses

Please help with the following questions: 4, 10, 22 Please see the attached file for the fully formatted problems.

### College Algebra : Variation Problems, Trends and Forecasting

Please help with the following questions: 12, 16, 18, 20, 22 Please see the attached file for the fully formatted problems.

### College Algebra : Asymptotes, Even and Odd Functions and Graph Translation

Please help with the following questions: 8, 14, 20, 22 Please see the attached file for the fully formatted problems.

### College Algebra : Finding Complex Roots

(See attached file for full problem description) Please help with the following: 56 and 82

### Graphing Polynomials, End Behavior & Intermediate Values

Please help with the following questions: 2, 14, 22, 36, 38, 44, 54 Please see the attached file for the fully formatted problems.

### College Algebra : Synthetic Division and Equations From Factors

Please help with the following questions: 14, 18, 20, 26, 30, 34, 38, 42, 50, 52, 56 and 64 Please see the attached file for the fully formatted problems.

### Cobb-Douglas Economics

1. Let Y=L^αK^1-α, 0<α<1; let y=lnY, l=lnL, k=lnK. a.Show that this production function is linear in its natural logarithms. b.Show that the instantaneous percentage change in out put is the weighted sum of the instantaneous change in L and K, with weights α and (1-α) 2. Suppose that the production function in Questio

### College Algebra : Relations and Functions

(See attached file for full problem description) Please help with the following questions: 6 and 8 and 60 and 70

### Integral Calculus : Inverse function of limited quadratic equation.

F(x) = 2x^2 - 8x, where x = or > 2 Even though I know that this particular quadratic equation does have an inverse since the domain is limited, I don't know how to figure out the formula for the inverse for a quadratic equation. I don't know how to solve for x, since there are two different x's. Thank you!

### Calculate the discriminant

5. For a quadratic equation of the form, ax2 + bx + c = 0, how do you calculate the discriminant? What information about the equation can we learn by calculating the discriminant?

### Solve the equation by completing the square

4. Solve the equations by completing the square, showing all your work: a. x2 + 4x -12 = 0 b. c2 - c - 6 = 0

### Resistance of a circuit

When three resistors of resistance values R1, R2, and R3 are placed in a parallel pattern within an electrical circuit (see diagram attached), the total resistance, RT, is computed from the formula: 1/RT = 1/R1 + 1/R2 + 1/R3. a. Rewrite the resistance formula by solving for RT and simplifying (i.e. RT = ...) b.

### Invertibility Proof Linear Operators

See attached document. Please use only elementary theorems about linear operators, transformations, and definitions of invertibility.

### 10 Algebra Problems : Continuity and Piecewise Functions

(See attached file for full problem description) Please help with the following: 6, 8, 10, 12, 14, 18, 20, 22, 34, 38

### Graphs of Functions, Domains, Ranges and Equations of Lines

(See attached file for full problem description) Please help with the following: 10,18,20, 28, 34, 38, 40 42, 50, 56, 62, 66

### Graphs, Midpoints of Line Segments, Collinearity and Equations of Circles

Please see the attached file for the fully formatted problems. Please help with these questions: 10,16,22,26,30,34,49,46,50,54, 60

### Exponential and Logarithmic Functions Word Problem

Use the formula R=6e^(12.77x), where x is the blood alcohol concentration and R, given as a percent, is the risk of having a car accident. What blood alcohol concentration corresponds to a 50% risk of a car accident?

### Contrast and Discuss Asymptotes and a Real-Life Example of an Exponential Function

One of the archaeologists you interviewed for your article is graphing asymptotes to illustrate the data generated through carbon dating the half-life of fossil specimens. Help him with his work by solving these problems: 1. Explain and contrast the types of asymptotes considered for rational functions. 2. B

### Relationship between solutions to a quadratic equation

What is the relationship between solutions to a quadratic equation and factors of a quadratic polynomial?

### Exponential and Logarithmic Equations and Word Problem

1. Write the equation in its equivalent logarithmic form. 10^2 =y 2. Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions. log5 (x+4) - log5 (x+1) 3. Solve the equation. Give an exact

### Routh Stability Criterion

Consider the following characteristic equations: (a) s^3 + 2s^2 + s +2 = 0 (b) s^5 + 2s^4 + 24s^3 + 48s^2 - 25s - 50 = 0 Using Routh stability criterion, determine whether the above systems are stable or unstable.

### Questions relate to graphing of different simple functions

The questions relate to graphing of different simple functions. See attached file for full problem description.

### factor the expression to simplify

I'm trying to factor the expression: 3a^2 - 13ab - 10b^2 But, I just don't know how. Thanks

### Solve an Inequality...Step-by-Step

In a step-by-step order list the process for solving the following: 2x(5*2 - 3) > x(3-5) - 2(x - 1) and solve the problem.

### Algebra : Percent Increase and Decrease, Slope, Y-intercept, Trends and Trendlines

1. Evaluate the following: e = &#61629;-2.7&#61629;= 40 = LN 2 = (1.01)365 = (-8)2/3 = 5-3/2+1 = 2. A stock price went down by 10%, and subsequently went up by 10%. If the final price was \$20, what was the original price? (Please show your thinking here.) 3. In a p

### Algebra Problem on Inequality

Solve the inequality: 3/(x+2) > 2/(x-1)

### Solve the inequality

Solve the inequality. 3x - x^2 > 0