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Basic Algebra

Solving Equations using Logarithms

Exercise from textbook: Solve the equation for x (by taking the logarithms of both sides): 6^1-x = 2^3x+1 Answer given: 0.28 All the other exercises have x on the same side (left) so this one has thrown me.

graphing inequality and evaluate function

Please see the attached file for complete description Sec 7.4 In exercises 8, we have graphed the boundary line for the linear inequality. Determine the correct half-plane in each case, and complete the graph. See attached file for full problem description. y > 3 Graph each of the following inequalities. 16. 4x + y > =

Quadratic Formula

Solve each equation by using the Quadratic formula So that you understand the problem correctly it should read 4 x squared minus 4x plus one equal zero. I am having a hard time understanding how to write algebra symbols using a computer, would you also tell me how to write this problem. 4x2 - 4x + 1 = 0 "V" squared pl

Quadratic equations help

1. Work with a partner to decide all values of b in the following equations that will give one or more real number solutions. A. 3x^2 + bx-3= 0 B. 5x^2 + bx+1= 0 C. -3x^2 +bx-3= 0 D. Write a rule for judging if an equation has solutions by looking at it in standard form. *What is your conclusion?* 2. Solve the fol

Logarithmic functions

Logarithmic functions have an interesting history. Although John Napier is credited for popularizing logs, there are earlier developments that include another mathematician who developed logs earlier and independently. Furthermore, logarithms became especially important for allowing difficult calculations prior to the developmen

Story Problem

F(x)=62 + 35 log (x-4) Where x represents the girls age (from 5-15) and f(x) represents the percentage of her adult height. Approximately what percentage of her adult height has a girl attained at age 13? Round to the nearest tenths of a percentage.

Various Algebra Problems

Write in simplest form 1) 5x - 20 ___________ 7x - 28 2) 9x^10 _________ 63x^18 Multiply 3) 7x^2 16 ____ * ____ 4 x^4 4) 2x - 4 3x _____ * _____ x^2 - 4x 2 - x Divide 5) 2x - 6

Algebra Problems

Find the square root. Assume that all of the variables represent positive real numbers. 1. The square root 25x^12 Find the cube root. 2. ^3 square root 512 Simplify the radical expressions. Assume that all variables represent positive real numbers. 3. the square root of 72 multiply the square root of 2 4. the square

Introductory Mathematics

These problems are labeled as Natural numbers, Prime numbers, Integers, Rational numbers, Irrational numbers, Groups Felds and Real numbers, Discrete Mathematics,and Crytography. p.188 #26 Classify as an example of the commutative property, the associative property, or both: (3+5)+(2+4)=(3+4)+(5+2) p.188 #30 Think of thre

Polynomial, rational, exponential and logarithmic functions and graph

To exercise your skills, you are to perform the following using different tools available to you (e.g. Excel spreadsheet, graphing calculator, etc.) and write and explanation on your findings: The graph of: f(x)= 0 The graph of: f(x) = a0 , where a0 ≠ 0 The graph of: f(x) = a0 + a1x , where a1 ≠ 0 For each o

Algebra : Solving Equations from Word Problems

Find the average weight in pounds of a type of bird of your choice. Use the rational exponent equation L = 2.43 * W^0.3326 to estimate the wingspan L in feet of the bird that weighs W pounds (Rockswold, 2006). Include in your post the type of bird and the average weight and show the calculations necessary to find the approximate

Finding Real Zeros

1. P(x)= 2x^4 + 15x^3 + 17x^2 + 3x -1 Find all real zeros. 2. P(x)= 8x^3 + 10x^2 - 39x + 9; a=-3,b=2 Show that the given values for a and b are lower and upper bounds for the real zeros of the polynomial. 3. P(x)= x^3 - 3x^2 + 4 Find integers that are upper and lower bounds for the real zeros of the polynomial. 4. P(

Simplifying Radicals

See attached file for full problem description. I need help solving this type of radical multiplication problem.

Factoring and Solving Equations and Inequalities

1. Factor the polynomial 88 x^6 y^6 + 16 x^3 y^4 - 8 x^5 y^3, if possible. 2. Factor 5 x^2 + 5 x y + 8 x + 8 y by grouping. 3. Factor the polynomial. 256 a^4 - 81 b^4 4. Solve the equation. x 2 + 11 x + 30 = 0 5. Do the operations and simplify. (x^2 + 4x + 4)/(x) . (x^2 - 2x)/(x^2 - 4) 6. Si

Basic Algebra

1. Find the value of c ( formula ) C = P/9 if p = 144. 2. Find the perimeter of a triangular postage stamp with sides 2.7, 2.7, and 1.7 centimeters long.Choose from the following. 3. Choose "<", "=", or ">" symbol to make a true statement. |-5| ..... - (-19) 4. Evaluate the expression. (9 + 8 . 5)^3 5.

Applications of Radical Equations

1. According to Einstein's theory of relativity, time passes more quickly for bodies that travel very close to the speed of light. The expression (c is the speed of light, and v is the speed of the traveling body) gives the aging rate compared to the time spent on earth. For example, if the aging rate for someone traveling ver

Solving quadratic equations

1. Solve the equation. x^2 + 8 x + 15 = 0 2. Write the equation x(x - 7) + 10 = 0 in quadratic form and then solve it by factoring. 3. Solve the equation by using factoring. 3 x^3 - 192 x = 0 4. Use factoring to solve the equation. 8 x^ 2 + 16 x = 0 5. Use factoring to solve the equation. 4 y^2 - 4 = 0 6. Use

Powers and Exponents Word Problems

1) Find the value of 18, 19, and 110. What can you say about the value of any power of 1? Explain the reasoning. 2) A solar-powered water pump system in Desert Range, Utah, has two solar panels, each containing 6 rows of modules. Each row has 6 modules. How many modules are in each panel? Write the answer as a power.

Basic Algebra

Please see attached file for full problem descriptions. 1. Reduce each expression to lowest term. Perform the indicated operation. 2. Henry sold 120 mags subscription in x + 2 days. If he sold at the same rate for another week, then how many magazines did he sell in the extra week? Find the LCD for the given rational

Find the quotient.

Please see the attached file for the fully formatted problems. 3. Find the quotient.

Graph the Inequality

20. Solve the inequality, state the solution set using interval notation and graph the solution set. 5x -10x^2 > 0

Quadratic Equations - Factoring

1) Solve the following by factoring: a) Answer: Show your work here: b) Answer: Show your work here: 2) If , find: a) f(2) Answer: Show your work here: b) f(-3) Answer: Show your work here: 3) Solve using the quadratic formula. Answer: Show your work here: 4) U

Reduce to Lowest Terms

Perform the indicated Operation. Reduce your answer to lowest terms. ((x-1)/(x^2-x-2)) + ((x+4)/(x^2+5x+6))