-2 y = f(x) c) Write a vertex form for a quadratic function f to model the given graph. d) Determine wether the function f is odd , even or neither?Why?- e) Find the interval where f is increasing and where f is decreasing. f) Given g(x) = 2x. Find (f • g)(x) 4.

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A:

Q: 4. True or false?Are the following statements true or false ? 1) when you square a binomial, you alw...

A: Are the following statements true or false?1) when you square a binomial, you always get one to four...

Q: Solve the problem below. For your initial post in Brightspace, copy the description of your company ...

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Q: Given  f(x) = x2 + x + 1  and  h(x) = 3x + 2,  evaluate the composite function.

A: Given that, f(x) = x2 + x + 1  and  h(x) = 3x + 2   By using the definition of a composite function,...

Q: If a companies stock is 40 dollars a share in a year the stock is 60 dollars. What was the percentag...

A: Initial Value of share = 40 dollar final value of share = 60 dollar Percentage Increase = (final- in...

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Q: 3 - 5 Let f be the one-to-one function given below. f() = 2x- 4 (a) Find the inverse function of f (...

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Q: Determine whether W is a subspace of the vector space V.W = {(x, y): x − y = 1}, V = R2

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Q: Verify that W is a subspace of V. In each case, assume that V has the standard operations.

A:

Q: solve 3,4,5

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Q: Let p be a prime. Are there any nonconstant polynomials in Zp[x]that have multiplicative inverses? E...

A: Let P be a prime. Implies that, Zp be a field.  We check the statement using contradiction. Assume t...

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Q: Find cond1(A ) and cond∞(A). State whether th e given matrix is ill-conditioned.

A: We first need to find the inverse of the matrix.    

Q: If g and h are elements from a group, prove that ΦgΦh = Φgh

A:

Q: How many elements are in Z5[i]/<1 + i>?

A: Given Data The expression is Z5[i]/<1+i>.   Consider the Z5[i]/<1+i> in the form of a+bi...

Q: Let A be a nonsingular n × n matrix. Perform the following multiplications:

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Q: Find the eigenvalues and the corresponding eigenspaces for each of the following matrices:

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Q: Complete the statement “A group element x is its own inverse if and only if lxl =

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Q: Determine whether the function is a linear transformation. If it is, find its standard matrix A.T: R...

A: Consider the given mapping, T: R2→R2 Define by, T(x, y) = (x + h, y + k), h ≠ 0 or k ≠ 0  

Q: Show that a unit of a ring divides every element of the ring.

A: Let us assume a unit in a ring R as a. Let us assume any element as x in that ring R.  By using the ...

Q: 5) The weight of a liquid is directly proportional to its volume V. If the weight of the liquid in a...

A: Given that, Weight(W) of a liquid is directly proportional to its volume(V). Mathematically, W ∝ V. ...

Q: Explain Plot of the Constraints?

A:

Q: How to solve?

A:

Q: Let R be the ring of continuous functions from R to R. Show that A = {ƒER|f(0) = 0} is a maximal ide...

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Q: Determine whether the equation is linear in the variables x and y.2x − 3y = 4

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Q: uppose $10,000 is invested in an account at an annual interest rate of r = 0.6%, compounded continuo...

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Q: Let d be a positive integer. Prove that Q[Vd] = a, b E Q} is a field. {a + bVā |

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Q: find the slope of this equation: x- √2y +1 =0

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Q: Find the quotient and remainder. (- 4a' + 15z – 4x + 15x? 7x – 10) ÷ (x – 3)

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Q: For each of the following pairs of vectors x and y,find the vector projection p of x onto y and veri...

A: Given: The vectors are,

Q: Let W be the set of all vectors of the form shown on the right, where b and c are arbitrary. Find ve...

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Q: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 11...

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Q: Please provide,Step by step calculation with description.

A: To determine the angle, suppose the general second-degree equation ax2 + bxy + cy2 + dx + ey + f = 0...

Q: Suppose that the parity-check matrix for a ternary code is 2 1 2 2 H =| 1 2 1 0 0 1 Can the code cor...

A: Given: The parity -check matrix is, In the above matrix, observe the value field F3,

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Q: How many subgroups of order 4 does D4 have?

A: Solution: Assume the following dihedral group D4, The above group consists of three subgroups of or...

Q: Describe Differential Equation to Matrix Equation.

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Q: use (10.10.1) to determine L[f]. Q.f(t)=sin2 at, where a is a positive constant.

A: Given data:     The given expression for the Laplace is: . The given function is: f(t)=sin2at.   Sub...

Q: If all entries of A are integers, and det A = 1 or -1, prove that all entries of A -1 are integers. ...

A:

Q: Show that the linear system Ax b has a solution if andonly if b can be written as a linear combinati...

A:

Q: A and B are n X n matrices If Bis invertible, prove that det(B-1AB) = det(A)

A: A and B are n X n matrices and B is invertible.

Q: Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan eliminatio...

A:

Q: Determine whether the set of vectors in P2 is linearly independent or linearly dependent.S = {1 + 3x...

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Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by  P(x)= 35...

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Q: ,use the linearity of L   determine L[f]. Q. f(t)=7e−2t +1

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Q: Write the equation of the line perpendicular to 5x + 6y = -50 and passing through (-4, 5) in slope-i...

A: Equation of line perpendicular to ax+by+c =0 is bx-ay+c'= 0 In the given question  A= 5, B= 6, C= 50

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.