Write the quadratic ƒ (x) = 2x² + 10x – 3 in the form of f (x) = a(x – h)² + k 31 O f (x) = 2(x – 25)² + - 2 f (x) %=D2 (z + 를)" - 플 19 f (a) = 2(x + 틀)^ - 을 31 25 \2 f (2) =D 2 (z + 쪽)*- 블 19 O f (x) = 2(x + 25)² – 31 - 2

Q: 1. Determine a possible quadratic function in standard form with a root at x=2+2.

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Q: Find a root of an equation f(x)=2x3-2x-5 using False Position method (regula falsi method).

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Q: Based on data from a research group, a model for the total stopping distance of a moving car in…

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Q: b.) Find the root of f(x) = 2x³-5x+2 using Method of successive substitution. (Allowable error <…

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Q: Discuss the nature of the quadratic form x2+4xy+6xz-y2+2yz+4z2

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Q: Find a root of an equation f(x) = (2x^3) -2x-5 using False Position method (regula falsi method).

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Q: Give a polynomial equation with integral coefficients that has the following roots. 2, 3, 1/2

A: we can write polynomial as product of roots

Q: Find the quadratic polynomial if the zeroes of it are 2 and 1/3 respectively.

A: Find the quadratic polynomial

Q: A company estimates that its profit, P, in hundreds of dollars, is P(x) = -4x2 + 40x + 3 where x is…

A: Given:     P(x) = -4x2 + 40x + 3

Q: Find the equation for a cubic polynomial that could generate this graph given that it passes through…

A: We will find the equation of cubic polynomial as following.

Q: Find the rule of the quadratic function f (x)= a(x-h)² +k whose grapn has a vertex at (-15, 18) and…

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Q: Find the polynomial function of lowest degree with rational coefficients that has the given numbers…

A: Given zeros

Q: What is the largest value of the quadratic form 5x} – 3x; if x'x = 1?

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Q: 2. The quadratic function y =9-x² +4x written in standard form would be (1) y=-x² +4x+9 (3) y=x²…

A: Answer (2) We have to write the quadratic function  y = 9 - x^2 + 4x in standard form

Q: 6. Suppose a sculptor wants to create a parabolic arch with a height of 5 m and a width at the base…

A: To find -Quadratic equation

Q: 5. Find a quadratic function f(x) = ax² + bx + c whose graph passes through (2,-1), and zeros of f…

A:

Q: f is a polynomial function of degree 4 whose coefficients are real numbers; two of its zeros are - 3…

A: Consider the provided information, If the polynomial fx with real coefficients and have complex zero…

Q: Consider the following quadratics: Q1:x2+y2-5z2-9=0 Q2:x2+y2-8z2=0 Calculate the distance of the set…

A: Given Q1:x2+y2-5z2-9=0Q2:x2+y2-8z2=0

Q: If a quadratic function has zeros at and . What binomials must be used? (3x+1) and (3x– 5) or (x+ -)…

A: on using factoring binomials we get

Q: Select all the quadratic equations. 7x3 - 9x2 + 3x - 12 = 0 3212 - 23t = 9 x+ 6y = 42 x2 - 4y2 = 0…

A: The standard form of a quadratic equation is  ax 2+bx+c=0

Q: 2.1,2.-5, I 3. 9.)-2, 5 -3. 2 2 3 169-4,2 -3.4 .3,¢ 2

A: Note:- according to the company policy we can attempt ?️ only one question so please upload the next…

Q: The life expectancy for females born during 1980-1985 was approximately 80.6 years. This grew to 81…

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Q: Show that if the quadratic polynomial f (x) = x2 + rx + s takes on both positive and negative…

A: Find the real roots of the polynomial,

Q: The quadratic function that best models this population as a function of the number of years after…

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Q: 12.What are the zeros of the function represented by the quadratic equation 9 (x) = (x+ 3) +3?,

A: Solution: The objective is to find the zeros of the given quadratic equation

Q: Find, in the form y = ax2 + bx + c, the equation of the quadratic function whose graph: a touches…

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Q: 19. What is the largest possible value of the quadratic form 5x + 8x3 if x = (x1, x2) and x"x = 1,…

A: We use the fact mentioned in solution.

Q: 5. Determine the zeros of 2x4 - 11x f(x) Verify your solution usir -

A: Given query is to find the factors of the function.

Q: 2. Determine the polynomial equation with integral coefficients whose roots are -1, -2, and -3.

A: Answer and explanation is given below

Q: Determine a quadratic function in standard form that has roots x 3i and x -3i and also passes…

A:

Q: 4. Is it possible for a 6th degree polynomial with real coefficients to have 6 imaginary solutions ?…

A: To explain about the polynomial

Q: Find a cubic polynomial f(x)=ax3+bx2+cx+d that has horizontal tangents at the points (-5,2) and…

A: Calculation:Compute the derivative of y = ax3 + bx2 + cx + d as follows.y' = 3ax2 + 2bx +…

Q: The population of a certain country was approximately 50 million in 1900, 200 million in 1950, and…

A: The  most general form of a quadratic equation is  y = ax2+bx +c where a,b,c all are constants with…

Q: Use the quadratic formula to show that tthe finction flu=ax2=3A+7 does not produce on cutput of…

A: f(x) = 2x2 -3x +7

Q: 20. What is the largest possible value of the quadratic form 9(x1)2 + 7(x2)? +11(x3)² – 8x1x2 +…

A: What is the largest value of the quadratic form9x12+7x22+11x32-8x1x2+8x1x3if xTx=1.

Q: Suppose​ f(x) is a quadratic function such that its vertex lies on the​ x-axis. How many distinct…

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Q: Select all the quadratic equations.   7x3 - 9x2 + 3x - 12 = 0 32t2 - 23t = 9 x + 6y = 42 x2 - 4y2 =…

A:

Q: Find an 4th degree polynomial function with real coefficients whose zeros are 4,–1,2, v2i and a…

A: Here degree of polynomial is 4 so it has 4 roots.

Q: 7. 3/2, -2, 1/3. -1 8. -2/3, -1/2, 2. -5, 1 9.-2. 5/2. 1/3, -3, 2

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Find the quadratic polynomial whose graph goes through the points (-2,8), (0, 6), and (1, 11). f(x)…

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Q: Express the quadratic form Q(x1, x2,x3) = 6x3 +3x3 +3x3 – 4x1.x2 – 2x2x3+4x3x1 to the sum of square,…

A: We need to use eigen values and eigen vectors of co efficient matrix

Q: 1. Write the equation to the polynomial with double roots at 3 and 6, that levels off as it passes…

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Q: Find the quadratic polynomial whose graph goes through the points (-1, 3), (0, 1), and (1,7). f(x) =

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Q: Write the rule of the cubic polynomial with roots 5, -2, and 0 that passes through the point (3,–7).

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Q: Find the quadratic function with the given vertex and point. (a) Vertex (0,0) passing through…

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Q: Find the equation for a cubic polynomial that could generate this graph given that it passes through…

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Q: Find the quadratic function for which: Contains the points (0, 5), (1, 2), and (3, 2)

A: The given points are,  (0, 5), (1, 2), and (3, 2). The quadratic equation is of the form y=ax2+bx+c.…

Q: 1. What is the maximum product of two positive numbers which are solutions to 4x+y = 16?

A: 4x+y=16

Q: suppose a baby food company has determined that its total revenue R for its food is given by R =…

A: Given:       R = - x3 + 36x2 + 540x    R is measured in dollars and X is the number of units…

Q: Determine a quadratic function in standard form that has roots x = 3i and x = -3i and also passes…

A: given that roots of quadratic function…