Algebra: Linear Equations

Please see the attached file for the fully formatted problems. 1. If x and y are both positive and x/y = y/(x+y), then x can be written in terms of y as? 2. If 65X = 4ax | s true for all real X then? 3. Completely factor 14n4 + 21n3 - 14n2 4. Find the equation of the line with slope m= ¾ and having its y-intercept at 1 ...continues

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.

Linear Algebra: Basis of a Subspace

Please see the attached file for the fully formatted problem. Find the basis of a subspace, which is intersection of U and V, where U and V are the span of....

Simplify an Expression

Simplify (the square root of 2 minus 3) multiplied by (the square root of 2 plus 3) .

Solve by completing the square.

2x to the 2nd power minus 3x plus 1 equals zero. OR 2x to the 2nd power - 3x + 1 = 0

Solve an expression

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

Finding the roots of a quadratic formula.

Use the quadratic formula to solve. Leave irrational roots in the simplest radical form. 3x^2 -4x -5 =0

Simplifying square root expressions.

Simplify: sqrt( m^2/n^3)

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.

Choosing the correct statements about an equation.

This question concerns the equation 3x^2- 4x- 5=0 Choose the two correct statements about this equation Options. A. The equation has no real-number solutions. B. The equation has one real-number solution. C. The equation has two solutions x= - 0.7863 and x= 2.120 correct to 4 significant figures. D. The e ...continues