Determine whether x = (0 2 0 1 1) is a vertex of X1+ 2x2 – x4 + x5 max X1,X2,X3,x4,X5ER 2 X1 + x2 -x2 + 3x3 + x4 -x2 + x3 – X4+ 4x5 -1 subject to 1 X1, X2, X3, X4, X5 || || || A

Q: If a zero has an even multiplicity what happens at the X intercept?

A: Given query is to provide the information about multiplicity of zero and intercept.

Q: Find the two positive integers whose sum is 16 and the sum of whose square is minimum

A:

Q: Which function represents a transformation of the parent quadratic function and 2 units down? a. fx)…

A: Here we have to transform the parent qau8dratic function 6 units to the left and 2 units down.

Q: A test program for grade 10 can generate quadratic functions in a standard form y = ax + bx + c…

A:

Q: fx) = 1 + 5x f(x) 2の 31 -2 -1 0. 2 17

A:

Q: e down a polynomial of degree exactly 4 that interpolates the four points: (-1,-5 1), (2, 1), (3,…

A: We have to find the polynomial equation from given points.

Q: The maximum value of (/-3 + 4x – x2 + 4)² + (x – 5)². | |

A: Introduction :

Q: Let a0, a1, a2, a3, a4 be constant real numbers such thata0/5 + a1/4 + a2/3 + a3/2 + a4 = 0.Show…

A: Consider−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−f(x)=5a0​x5​+4a1​x4​+3a2​x3​+2a3​x2​+a4​x.with  input from…

Q: What is the integer floor function?

A:

Q: Show that the multiplicity of (x-1) is 1.

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Q: 4) Write the following functions in vertex form. 2 a) P(x) = x 2x - 7 b) P(x) = - - x² + 6x + 2

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Q: What is the vertex of the quadratic, 3x - 12x - 1 = f (x) O (4.082,0) O (2, -13) (3,1) O (4,-1)

A: Given, The quadratic expression fx = 3x2-12x-1 We have to find its vertex.

Q: 9. Write each quadratic relation in standard form, then find the zeros. a) y = 2(x + 1)² - 50 b)…

A: Given :(a) y=2x+12-50(b)  y=-3x-12+48

Q: ans 1. %3 4x+ 2 9x-3°

A:

Q: A test program for grade 10 can generate quadratic functions in a standard form y = ax + bx + e…

A: Given quadratic function in a standard form is y=ax2+bx+c wherein coefficients a, b and c are…

Q: If (2x-1) is a factor of the polynomial p(x)=2x^3-3x^2+kx+6, then the value of k is: a) k= -6 b)…

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Q: If a, b, and c are non-negative real numbers that satisfy a + 3b + 2c = 3 and 3a + 3b + c = 4.…

A: We will first solve a + 3b + 2c = 3 and 3a + 3b + c = 4. So,    a+3b+2c=33a+3b+c=4Substitute…

Q: Graph the system -5 -4 -3 -2 -1 y 2x + 2 5- 4 3 2 1 -1 -2 -3 2 2 3 4 5

A: Given query is to graph the inequality.

Q: Give all of the zeros of P(x)=x^2+4 as a comma separated list.

A:

Q: The quadratic relation y = ax* + bx +c can be transformed algebraically or the form into the form

A: Complete squaring method

Q: 2. Write a computer code that interpolates the function f(x) = 1+2 at the points -5, -4, -3, -2, -1,…

A: Here is the code:import numpy as np import matplotlib.pyplot as plt # Define the function def f(x):…

Q: 1. Determine whether the set S = {2x² – 14x + 34, 3x – 4, x² + 5x + 1} is linearly independent or…

A: Here first we check the set s is linearly dependent or not.

Q: How many zeros (solutions) does the following quadratic relation have? f(x) = x² + 2x + 2

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Q: Explain how the domain of g1x2 = 2x compares to thedomain of g1x - k2, where k Ú 0.

A: Given, gx=2x