The graph of a quadratic function f passes through the points (−2, 4), (1, 1) and (5, 0). What is the y-intercept of the graph of f?

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A: To create a polynomial equation with real coefficients that has 2 and 1-i as roots.    

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A: Given differential eqution y''-y'-2y=3x+3

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A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other ...

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Q: certain population grows by 30% per decade. What is its percentage growth each year? (Round your ans...

A: Given query is to find the percentage increase in one year.

Q: Let A be a nilpotent matrix of order n then A*n = 0 ) nxA = 0 A =nx1, l is Identity matrix

A: A be a nilpotent matrix of order n

Q: 1. Solve the values of x using quadratic formula: 4x2 – 10x + 64 = 0 10x? – 8x – 100 = 0 (i) (ii) II...

A: Given problem:- 1. Solve the values of x using quadratic formula:   (i) 4x2 - 10x + 64 = 0   (ii) 10...

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Q: 1 2 and B ol: Compute the following: 2A, A – B, AB, and BA. Let A -3 1

A: Given problem:-

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Q: 6 Determine whether the set is a basis for R3. If the set is not a basis, determine whether the set ...

A: The given question has been solved in detail.  Thus options A, B and C are correct. 

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A: Given the quadratic equation is x2+11x-10=0

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A: Longer Leg (L)=16 unitsShorter leg (S)=?Hypotenuse (H)=S+8 unitsLet Length of Rectangle =Lthen width...

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A: Given: The initial price = $50. Initial number of units sold = 40. Cost of making each video game = ...

Q: Solve the following quadratic equation listed below. 5x2 = 4x2 - 4x - 4 %3D O x= 2, -3 O x = -2 O x=...

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Q: Exercises 43 0-46 0: Write a polynomial f(x) in complete factored form that satisfies the conditions...

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Q: 11. What is the center and radius of the given equation (x +2)2 + (y)? =32? C. C( 0, -2), r= 9 a. c(...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Solve the following quadratic equation by completing the square. If necessary, round to the nearest ...

A: The detailed solution is given below Thank you 

Q: Function f(x) is shown in the table below. Find the average rate of change over the interval 3sxs4. ...

A: We can find the average rate of change in the interval as below.

Q: How do you graph the rational function f(x)= (2x+3)/(x-1)(x-2)?

A: Given query is to graph the rational function.

Q: 12. Applying the concept of rotation of axes, what must be the angle of rotation of the x and y axes...

A: This is a problem of vector calculus. Based on the general concept will substitute x and y value in ...

Q: how do you get -56 out of this? x=3, y=-3, and z=5 -3xy2-z/-3xz

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Q: A bank account grows by 8% each year. By what percentage does it grow each month? (Round your answer...

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Q: (Number 11) thanks!!

A: see below the answer 

Q: Jeff and Jason are diving near a corral reef in the ocean. Jason is swimming along the bottom of the...

A: This question is based on use of Pythagoras theorem.

Q: Find the appropriate linear cost or revenue function. Fixed cost, $370; 10 items cost $2450 to produ...

A: Given,            Fixed cost $370, 10 items cost $2450 to produce.To find : Find the linear cost fun...

Q: Find an equation in point-slope y - y, = m(x-x4) for the line through the given points. (-3, - 8) an...

A: Solve for the point slope equation

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A: Explanation of the answer is as follows

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Q: Divide 4x-a - 3x - 2 by a- 5 R(x) Give your answer in the form Q(x) + D(x)

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Q: State whether the given statement is True or False. If for a square matrix A and B, null matrix O, A...

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Q: 11) [o -5 -3 4]-[1 0 4 -1] 1 -2 3 -2 55-2 12) -1 5 13) -3 -5 6 6 -5 2. 14) [S 4 6 -1]+[-3 -1 -2 -3] ...

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Q: The right side of a stem-and-leaf chart represents the stem. O True False

A: Solution

Q: Given: f(x) = 2 sin (G) + sin? (G) 2 cos - Rearrange the function to an equivalent form, f(x) = D si...

A: We know that trigonometry relationship Cos(2x) = cos2x - sin2x.       Here i attached solution of th...

Q: Write a rule for the translation of ALMN to AL'M'N. y 41 M M L' -4 -2 6 x 2, 11 (z, y) → OD Basic 8 ...

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Q: constant term in the expansion (2y +) Find the

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Q: Given that x and yvary inversely and that y is 24 when x is 8, sketch a graph of this inverse variat...

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Q: A rectangle with vertices (0, -2), (0,2) (3,2) and (3, -2) is rotated around the y- axis to form a 3...

A: Given problem:- A rectangle with vertices (0, -2), (0.2) (3,2) and (3, -2) is rotated around the y a...

Q: Find a degree 3 polynomial with real coefficients having zeros 1 and 4i and a lead coefficient of 1....

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Q: The manufacturer of a product finds that the marginal revenue is MR(q) = 767 - 67q - 58q². Find the ...

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Q: Find the following for the function f(x) = 3x + 3x- 3. ce (a) f(0) (e) -f(x) (b) f(1) (f) f(x + 1) (...

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