### Finding the slope of a linear equation.

FIND THE SLOPE OF THIS EQUATION: 8x-2y= -48 Is the answer 4, -4, -6 or 6? Please explain how to solve the equation step by step and how to find the slope, also.

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FIND THE SLOPE OF THIS EQUATION: 8x-2y= -48 Is the answer 4, -4, -6 or 6? Please explain how to solve the equation step by step and how to find the slope, also.

Describe all nonisomorphic central extensions of Z_2 x Z_2 by a cyclic group Z_n for arbitrary n, meaning central extensions of the form: 1 --> Z_n --> G --> Z_2 x Z_2 --> 1

Please see the attached file for the fully formatted problems. Solve the following system of equations: 4/x - 9/y = -1 -7/x + 6/y = -3/2

Solve the following system of equations 4/x-9y=-1 -7x+6y=-3/2 HINT: let p=1/x and q=1/y

Let A be a 2 x 2 matrix with A^3 = O. Prove that A^2 = O. Where O is the zero matrix. (Note: I've said nothing about the invertibility of A, it may or may not be invertible).

This is the first question of a 4 part problem. I just need help with how to start it. above is the 1st question to below problem: In some experiments, tathered data suggest that volume of gas and temperature are related quantities. In one particular experiment, at a temp. of -30 degrees C, the volume of a gas was measured t

For this problem please state the method you used and show the work required to obtain the answer. Find the general solution for each of the systems: (this is a matrix) X' = 1 0 0 2 1 -2 *X 3 2 1 this matrix has a parenthesis and a X outside of it.

1. Factor the following polynomial y = 3x4 — 22x3 + 31x2 + 40x —16 2. Find the real solutions of y = x3 + 8x2 + 1 lx — 20 3. Solve the equation in the complex number system. 10x2 + 6x +1= 0 4. Form a polynomial with real coefficients having the given degree and zeros. Degree: 5 Zeros: 1, multiplicity 3; 1 + i

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....

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

Find the x-value for the solution of the nonlinear system: x = y^2 - 1 x = -y^2 + 4

The points on a plane: A(-3;2) and B(1.5;-3) are included in a parallel right to another one which crosses point at P(-2;-4) Find: a) The equation of this last right b) The equation of the right which passes through the origin and is perpendicular to both of them

Please help with the following problem that involves systems of linear equations. A cookie company makes three kinds of cookies, peanut butter, sugar,and oatmeal packaged in small, medium, and large boxes. The small box contains 1 dozen peanut butter and 1 dozen sugars; the medium box contains 2 dozen peanut butters, 1 dozen

The two images below shows one of our attempts to come up with the rotation angle required. I believe that it does not work because we are using first order trig which assumes symmetry . Please comment on this assumption and or why it does not work. See attachment

Show that Z/nZ is a field if and only if n is a prime.

Calculate the system. x^2+2y^2=10 16x^2+y^2=25

Please see problem #1 of the attachment. If you show me how to do #1 (the answers are a and d, by the way) I'll probably be able to do #2. Thanks!

Determine whether the following are linear transformations from C[0,1] into R^1. L(f) = |f(0)| L(f) = [f(0) + f(1)]/2 L(f) = {integral from 0 to 1 of [f(x)]^2 dx}^(1/2) Thanks so much. :)

A) Let A be a positive definite matrix. Show that X has a unique positive square root. That is, show that there exists a unique positive matrix X such that X^2 =A. B) How many square roots can a positive definite matrix have?

Solve by graphing. I need the step by step solution to this problem, starting off with how does one determine the values of x and y. x-y=3 x+ y = 5

Suppose A is diagonalizable with distinct eigenvalues... See attached file for full problem description.

Let R and S be antisymmetric relations on a set A. Does R union S have to be antisymmetric also? Give a counterexample if the answer is no and proof if it is yes.

Decide whether or not the events are mutually exclusive. Being a teenager and being a United States Senator.

Suppose A is a unitary matrix. (a) Show that there exists an orthonormal basis B of eigenvectors for A. (b) Let P be the associated change-of-basis matrix. Explain how to alter B such that P lies in SU(n).

Find the eigenvalues and eigenvectors of A. See attached file for full problem description.

Solving problems on spanning sets

Determine whether the given sets form subspaces of R-square. What does the T stand for in these equations?

Let P be the set of all polynomials. Show that P, with the usual addition and scalar multiplication of functions, forms a vector space. I'm just no good at proofs. I know we are supposed to go through and prove the Vector Space Axioms and the C1 and C2 closure properties. I just don't think I'm doing it successfully. I'm just