Systems of Equations : Substitution Method
Solve by substitution. x+y=4 x-y=5 Write whether the equations are independent ,dependent or inconsistent.
Solve by substitution. x+y=4 x-y=5 Write whether the equations are independent ,dependent or inconsistent.
3x+4y=-5 5x+6y=7 Please solve this system of equations using the addition method. Thank you for your time!
Tickets for a concert was sold to adults for $3 and to students for $2. Total receipts were $824 and if twice as many adult tickets as student tickets were sold, how many of each type of ticket was sold?
Jack invested $30 000 and received $2 300 in interest. Part of money was invested at 10% the remainer at 5%, how much was invested at each rate?
Solve the system of equations by the substitution method. State whether equation is independent, dependent, or inconsistent. 3(y-1)=2(x-3) 3y-2x=-3
Write as a system of 2 equations in 2 unknowns. Solve each system by substitution and show each step. Perimeter of a rectangle : the length of a rectangular swimming pool is 15 feet longer than the width. If the perimeter is 82 feet, what are the length and width?
Y>x x>3
There are hens + rabbits. The heads = 50 the feet = 134. How many hens & how many rabbits ? Flies + spiders sum 42 heads and 276 feet. How many of each class? J received $1000 and bought 9 packs of whole milk & skim milk that totalled $960 - How many packs bought of each kind? A number is composed of two integers and its sum
Linear Independence of the Set of Vectors Linearly Independent Linearly dependent (a) Test for the linear independence of the set of vectors (0,1,0
Solve the following cryptogram doing the following steps: 1. frequency count 2. do you think it is monoalphabetic substitution, polyalphabetic subsitution, or transposition? 3. Is this a clear decision? 4. Solve based on the above info. DVOLL PULID ZIWGL ZDLIO WULFM WVWFM WVWFK LMULF IVHHV MGRZO SFNZM UIVVW LNHGS VUR
Solve the eigenvalue problem as follows: Let U = ... be a two-component vector whose first component is a twice differentiable function u(x), and whose second component is a real number u1 Consider the corresponding vector space H with inner product Let S C H be the subspace .... and let .... The above eigenvalue
Please see the attached file for the fully formatted problems. Let L = with boundary conditions u(0) = 0, u'(O) = u(1) ,so that the domain of L is S = {u Lu is square integrable; u(0) = 0, u'(O) = u(1)}. (a) For the above differential operator FIND S* for the adjoint with respect to (v,u) =S 1-->0 v-bar u dx and compare S
Find the solution, if it exists, to this system of linear equations: x + 2y - z = -4 3x + 7y - 6z = -21 x + 4y - 6z = -17 Find the solution, if it exists, to this system of linear equations: x - z = 2 2x - y = 4 x + y + z = 6 A cookie company makes three kinds of cookies, oatmeal raisin, cho
Is the function c(x)=(x^2+4)/x an hyperbola ? How would you rotate it 45 degrees in an anti clockwise direction ?
Dtermine whether or not the following matrix A= 5 0 2 0 5 0 2 0 5 is diagonalizable. If it is, then determine P'-1(P inverse)AP.
Please see the attached file for the fully formatted problems. The Fourier transform, call it F, is a linear one-to-one operator from the space of square-integrable functions onto itself. (In fact, we also know that F is an "isometric" mapping, but we will not need this feature in this problem). Indeed, Note that here x an
Please solve the following: Sec^2(X)csc^2(X)=sec^2(X)+csc^2(X) Make sure to show all the required steps and work.
3sin(Theta)-4cos(Theta)=5sin(Theta + cos^-1[3/5])
Find the solution of the initial value problem: y'' + 2y' + 2y = 0, y(0) = 2, y'(0) = -3
Find the solution of the initial value problem: y'' - 4y' + 3y = 0, y(0) = 2, y'(0) = 3
If A is nonsingular, show that the characteristic values of A^(-1) are the reciprocals of A, and that A and A^(-1) have the same characteristic vectors.
Determine the characteristic values of the given matrix and find the corresponding vectors: [ 2 -2 1 ] [ 1 -1 1 ] [ -3 2 -2 ]
Compute the Wronskian of the given set of functions, then determine whether the function is linearly dependent or linearly independent: x^2 - x, x^2 + x, x^2, all x
The set of all 2 x 2 real matrices constitutes a real vector space. Determine whether the given set of elements is linearly independent: [ 2 3 ] , [ -1 2 ] ,[ 1 0 ] [ 1 1 ] [ 0 0 ] [ 0 1 ]
Show that the set of all elements of R^3 of the form (a + b, -a, 2b), where a and b are any real numbers, is a subspace of R^3. Show that the geometric interpretation of this subspace is a plane and find its equation.
Determine if the given set constitutes a real vector space. The operations of "multiplication by a number" and "addition" are understood to be the usual operations associated with the elements of the set: The set of all elements of R^3 with first component 0
Note: C means set containment (not proper set containment), |G : K| means index of subgroup K in G, and G # K means K is a normal subgroup of G question: Let K C H C G be groups, where K # G and |G : K| is finite. Show that |G/K : H/K| is also finite and that |G/K : H/K|=|G : H|
For the problem, refer to the linear transformation T: R^3→R^3 given by T(x) = T(x, y, z) = (2x + 2z, x - y + z, 2x + 2z). The matrix A = [T]_E is similar to a diagonal matrix D = [T]_F. Write the diagonal matrix D, and demonstrate that it is indeed similar to A by producing the appropriate non-singular matrix and its i
For the problem, refer to the linear transformation T: R^3 --> R^3 given by T(x) = T(x, y, z) = (2x + 2z, x - y + z, 2x + 2z). Write the change of basis matrix K from the basis F of R^3 which consists of the eigenvectors of T to the standard basis E for R^3.
Please see the attached file for the fully formatted problems. What is the rank and signature of the quadratic form +/-x2+4y2+/-2z2+4xy+4xz?