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Basic Algebra

College Algebra: Writing Equations from Word Problems

Please help with the following attached questions: 2,8,12,20 2. If 40L of an acid solution is 75% acid, how much pure acid is there in the mixture? 8. Unknown Numbers: Consider the following problem. The difference between six times a number and 9 is equal to five times the sum of the number and 2. Find the number.

Logarithm Problems : Change of Base, Graphing and Solving for X

Find the exact values: 1) log (base 10) 1000 2) ln e^-100 3) log (base 5) (1/25) 4) log (base10) (0.1) 5) log (base 12) 3 + log (base 12) 48 6) 2^(log(base 2) 3 + log(base 2) 5) 7) e^(ln 15) 8) e^(3ln2) 9) log(base 8)320 - log(base8)5 -------------------------------------------------------------------------------

Putting a function in a form y=

Y = x^2 - 4x - 5 = x^2 - 2*2*x - 5 = ( x^2 - 2*2*x +2^2 ) - 2^2 - 5 = (x-2)^2 - 2^2 - 5 = (x-2)^2 - 4 - 5 = (x-2)^2 -9 y = (x-2)^2 -9 How do I put this in the form y=a(x-H)^2+K, how do I graph this function, and why is it not necessary to plot points to graph when using y=a(x-h)^2+K?

Algebra word problem

If John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). He wants to maximize the area of his patio (area of a rectangle is length times width). What should the dimensions of the patio be? How do I set up this equation?

Quadratic equation

Using the Quadratic equation: x2 - 4x - 5 = 0. How do I solve this by factoring? by completing the square? & solve by Quadratic formula?

Problem 12

Select the point which is in the feasible region of the system of inequalities: 4x + y < 8 2x + 5y < 18 x > 0, y > 0 A. (2,4) B. (-1,2) C. (1,3) D. (4,1)

Speed and Distance

Leon drove 270 miles to the lodge in the same time as Pat drove 330 miles to the lodge. If Pat drove 10 miles per hour faster than Leon, then how fast did each of them drive?

Distance and Speed

Janet drove 120 miles at x mph before 6:00 a.m. After 6:00 a.m., she increased her speed by 5 mph and drove 195 additional miles. Write a rational expression for her total traveling time. Evaluate the expression for x = 60.

Context-fee language

Thank you for taking the time to look at my problem. I cannot make math symbols, thus, I will let ^ denote "raised to the power." For example, a^2 is a squared or a "raised to the power" of 2. Also, I will use the symbol * to denote multiplication. For example, 2*7=14. Okay, here is my problem: Show that the language L={ a

Functions and Relations

A football player attempts a field goal by kicking the football. The ball follows the path modelled by the equation h=-4.9t2(means t squared)+10t+3, where h is the height of the ball above the ground in metres, and t is the time sincethe ball was kicked in seconds. 1. Describe the path of the ball. 2. After how many sec

Method found in the proof below to find a primitive elements

Use the method found in the proof below to find a primitive element for the extension Q(i, 5^(1/4)) over Q. *Recall that the extension field F of K is called a simple extension if there exists an element In this case, u is called a primitive element. **Theorem: Let F be a finite extension of the field K. If F is separabl

Solve each equation and check for extraneous solution.

Solve each equation and check for extraneous solution. # 41. ----------------- / 2x^2 - 1 = x # 42. ------------------------ / 2x^2 - 3x - 10 = x Solve the equation # 85 ----------------------- / x^2 + 5x = 6 # 91 ----------------------- /

Algebra: Solve 10 equations

Page 313 Solve each equation. # 8 ( a + 6 )( a + 5 ) = 0 # 9 ( 2x + 5 )9 3x - 4 ) = 0 # 12. t^2 + 6t - 27 = 0 # 48 - 2x^2 - 2x + 24 = 0 # 49 11 Z^2 + ---z = -6 2 # 52 3x (2x + 1 ) = 18 Page 364 Solve each equation. Watch for ext

Matlab Hermite Interpolation

(See attached file for full problem description with equations) --- I need some guidance on a Matlab programming project. The project concerns Hermite polynomial interpolation. We are given values and and their derivatives and at and respectively, and we look for coefficients such that if

Rational expressions

(See attached file for full problem description with equations) --- Pg.283 Factor the GCF in each expression 59. 60. Pg. 306 Factor each polynomial completely, if polynomial is prime, say so 35. 40. Pg 338 Perform indicated operation 22.

Description of Abelian group

Modern Algebra Group Theory (VII) To prove that if G is an abelian group, then for all a,b belongs to G and all integers n, (a.b)^n=a^n.b^n.

Polynomial From Finitely Many Points on the Polynomial

Alice: "I'm thinking of a polynomial f(x) with non-negative integer coefficients. Can you tell which one?" Bob: "Well, I need some information." Alice: "You can pick any real number r and I'll tell you f(r). Um....that is, I'll tell you finitely many digits of f(r) - but as many as you want." Bob: "Gee - just one value

Sample problem set

--- 1. Consider the following market demand and asymmetric cost functions for the airplane production industry. Market Demand is: P=200- (qA + qB) Cost Function for Boeing: C(qB) = 40 qB Cost Function for Airbus: C(qA) = 30 qA a.) Assume that the two act according to the Cournot mo