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Basic Algebra

Group of algebra problems

Algebra problems: Page 24 55. - 0.03 - 5 56. 0.7 - (-0.3) 71. - 161 - 161 72. - 19 - 88 94. Net worth. Melanie has a $ 125,000 house with a $ 78,422 mortgage. She has $ 21,236 in a savings account and has $ 9,477 in credit card debt. She owes $ 6,131 to the credit union and figures that her

Various Quadratic Problems

See the attached file. 1. Find the axis of symmetry. y = x2 + 5x - 7 2. Solve. 5(x - 2)2 = 3 3. Solve by completing the square. x2 + 2x - 8 = 0 4. Find the x-intercepts. y = x2 + 5x + 2 5. Is the following trinomial a perfect square? Why? x2 + 18x + 81 6. The demand and supply equations for a cert

Stereographic Projection, Riemann Sphere and Mapping

A plane is inserted through the equator of a unit sphere. A point on the sphere is mapped onto the plane by creating a line from the point on the sphere, through the north pole, where this line hits the plane is the projection of the point. Show that circles on the sphere map to circles on the plane except when the circles run

Propagation of Error

(See attached file for full problem description and equations) --- A 100 uL (microLiter) sample of a 7.0 millimolar protein is diluted to 500.0mL. If the error in measurement of the molarity(M) is ±0.02 mM, of the uL pipet is ±1 uL, and of the volume of the 500 mL flask is ±0.15 mL, determine how the molarity of the resul

Borel-measurable function

Prove that the following function is Borel-measurable function. f_n(t) = { [t*2^n]*2^-n , 0 < t < n, n , t > or = to n | f_n(t) - t | < 2^-n , t < n } I want a detailed proof. I want to kn

Removing Symbols and Grouping Like Terms

1. Simplify: Remove the symbols of grouping and combine like terms. 5[3(4x - 2) - 3(6 - x)] + 7 2. Subtract (18x2 - 5x + 4) from (3x2 - 3x - 8) 3. Simplify: (27a3 b6 )2/3 4. Simplify: (102x+1)(104x) 5. Simplify and express your answer with positive exponents only. #6 & 7: Perform the indicated o

Perform Computations in Scientific Notation

(See attached file for full problem description with equations) --- 1. Perform the following computation. Write the answer in scientific notation. 2. Perform the indicated operation. Solve for x. Reduce your answer to lowest terms. 3. Perform the indicated operation. 4. Solve this equation. Solve for x. 5. S

Solving Equations (4 Problems)

Solve equation. Watch for extraneous solutions #30 6 + 7 =y-1 y-2 y-8 y-8 Solve equation and check for extraneous solutions # 35 square root oft 2t+4= square root of t-1 Solve each equation #88 square root 9x2= x+6 Solve each equation by using the quadratic formula. 3z2-8z+2=0 ---

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?

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

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) &#61624; (x - 3) Since x3 - 2x2 - 4x + 3 = (x - 3) ( ), we have (x3 - 2x2 - 4x + 3) &#61624; (x - 3) =

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

Equations with Rational Expressions & Ratios

55. Solve the Equation: 14/(a^2 - 1) + 1/(a -1) = 3(a +1) 64. The student-teacher ratio for Washington High was reported to be 27.5 to 1. If there are 42 teachers, then how many students are there?

Real Numbers

Please show formula and steps if aswers are different? 1. Find decimal notation for -4/25. __x_a. -0.16 ____b. -0.4 ____c. -0.4 ____d. -6.25 2. Find the absolute value: -/-6.8/. ____a. -8.6 ____b. -6.8 __x_c. 6.8 ____d. 8.6 3. Add: -6+12+(-5)+3 ____a. -8 ____b. 4 ____c. 14 _x__d. 26 4. A

Indicated variable and solved radical

Please see the attached file for the fully formatted problems. Please show me the steps how you work the problems so I can work similar problems. Thanks! Solve each formula for the indicated variable. 16. 21. For h 22. for s Raising each side to a power to eliminate Radicals. So

20 Quadratic Equation Questions: Word Problems and Complex Roots

(Full Problem Set found in attachment) ----- 7 questions on Quadratic Equations by Factoring: 1) Using the factoring method, solve for the roots of each equation. Place equation in standard form before factoring. Check your solutions and show the check. 3x2 = 75 2) Using the factoring method, solve

Decimal Notation

1. Write a word name for 8.032. ____a. Eight and thirty-two tend-thousandths ____b. Eight thousand and thirty-two ____c. Eight and thirty-two hundredths __x_d. Eight and thirty-two thousandths 2. Write fraction notation for 7.319. ____a. 7319/10 ____b. 7319/100 _x__c. 7319/1000 ____d. 7319/10,000 3. Writ