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Basic Algebra

Polynomials: When is factoring necesary?

What would be an example of a variable that you would want to evaluate all the way out to infinity? Please keep it simple. Thanks. Original Qustion: Provide an application example of a polynomial expression when factoring is not necessary for solving the problem.

Solve an expression

One eighth of the square root of 7 less than a number is 2. What is the number?

Algebra: Equation of Circle, Terms and Coefficients

1. Find the equation of the circle with the center C(7, -2) and radius square root 53. 2. Find the coefficient of the fifth term in the expansion of (x-y)15. 3. What is the fifth term in the expansion of (3a-b)6.

Algebra: System of Equations

Solve: 6x + 2y - 4z = 15 -3x - 4y + 2z = -6 4x - 6y + 3z = 8 My book says this is an elimination problem and the book also says the answer is (2,-1/2,-1) I just cannot figure out all of the steps....help!

Algebra: Equation of Circle, Expansion and Difference Quotient

1. The circle which has its center at the center of the hyperbola 4x2 +16x - 9y2 + 18y = 29 and whose diameter is the line segment between the vertices, what is the equation. 2. The coefficient of x7y9 in the expansion of (x-2) is? 3. Let f(x) = 2x + 1 , g(x) = x2 - 1 , and h(x) = square root (x + 1). Find the expansion for

Logs and laws of exponents

Logs and laws of exponents Use the laws of exponents to write in terms of logarithm of x and y. see attached' Use Law of Exponents to write as a single logarithm.

Algebra: Solution Set, Asymptote, Solve for X

1. In interval notation, the solution set of -(5x + 1) < 4x - 19 is? 2. A horizontal asymptote for f(x)= 2 + 1/x2 is? 3. The value of 17C3 is? 4. Solve for x: absolute value ( 7x - 1) <3

Simple Prolog Assignment

PROLOG Due 7/10 NOTE: For your homework, you are not allowed to use the builtin predicate definitions. If, for example, you want to use member/2, create you own version called mymember/2 (or something). Same for append, reverse, sort, and many others.You may use any builtin numeric operators, 'is', the '[' ']' brackets f

Conversion Factors : Excavation

How many cubic yards must one have to excavate using the following guidelines: Driveway size 16 X 17 Paver thickness 2 3/8 Sand bedding 400 Lbs Base compacted 6"

20 Algebra Questions

Complete the algebra questions in attachment 1. Find the domain of the given function. 2. Reduce the given expression to lowest terms. 3. Find the solution set of the given equation. Match your result to the correct answer below. 4. Convert the given expression into an equivalent expression that has the indicated denominator

Algebra: Ellipses and Circles

1. Find the center of the ellipse given by 64x2 + 4y2 + 128x - 80y +208 = 0 2. Find the radius of the circle defined by x22 + y2 - 6x -16y = 48 3. The distance between the foci of the ellipse defined by 9(x + 6)2 + 25(y - 15)2 = 225 4. What is the coefficient of x3 in the expansion of (2+ x)5

Algebra: Sequences and Expansions

1. The coefficient of x6y4 in the expansion of (2x-y)10 is ? 2. An arithmetic sequence has a=15 and the common difference d=-3/2. Find the value of 10 over Sigma k=5 ak = the kth term of the sequence. 3. Find the 3rd term in the expansion of (x+6)10.