The quadratic function f(x) = 2? + bæ + 49 is a perfect square trinomial. What is a possible value for b? b = If the function is written in the form f(æ) = (x + n)°, what is a possible value for n?

Q: Based on data from the U.S. Bureau of Public Roads, a model for the total stopping distance of a…

A: Find ds/dv using first derivative and exponent rule of derivative.

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

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Q: 2 -2 2 -2 6,

A: Quadratic graph

Q: 3. Find expressions for the quadratic functions whose graphs are shown. (-2, 2), (0, 1) (4, 2)

A: Given that:

Q: The Range of the quadratic function f(x) = -x² + 15x + 45 is O (0,8] О -45, 8 O [-8, 0) O [45, 0) O…

A: By sketching the graph

Q: Find the maximum or minimum value of the quadratic function g(x)=  2x2 +6x + 3.

A: We find g'(x) and g''(x)

Q: Complete the square in the quadratic function f given byf(x) = 2x2 - 6x + 4

A: To complete the square in the quadratic function f.

Q: Determine the real values of a, b, and c for the quadratic function Ax) = ax + bx+c, a +0 that…

A: Here we have to determine the real values of a, b, and c for the quadratic function f(x)=ax2+bx+c…

Q: Given b e R, consider the quadratic function in standard form: f(x) = x² – 2bx + 3. (a) Find b e R…

A: Suppose we have quadratic function ; .Note the result corresponding to this function : If both…

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

A:

Q: Find the maximum or minimum value of the quadratic function g(x) = 2x + 6x + 3.

A: Given,           gx=2x2+6x+3To find : The maximum or minimum value of the quadratic function.

Q: 1.Find the minimum or maximum value of the quadratic function. f(x) = −2x2 + 12x − 5 ?

A: Note- As per our policy we can answer only 1st question. If you want solutions for other, then you…

Q: The quadratic function y = 2x² + 3x - 20 has zeroes at x = -4 and x Use this information to find the…

A:

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: Use the vertex (h, k) and a point on the graph (x, y) to find the general form of the equation of…

A: Given data: h,k=2,0 x,y=4,4 Solution: If (h,k) is vertex and (x,y) is point on a curve or graph then…

Q: 4. a. Use the vertex formula to determine the vertex of f(x) = 2x + 12x + 19. b. Based on the…

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Q: A cell phone company estimates that by charging x dollars each for a certain cell phone, they can…

A: This can be solved by using the concept of maxima in differentiation. Given Revenue function is:…

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: What is the equation of a quadratic function y=f(x) with two irrational zeros, negative square root…

A: The equation of a quadratic function y=f(x) with two irrational zeros, negative square root of h and…

Q: The quadratic function shown has an equation of y= a(x-3)(x+1) where a, m, and are integers. (0,-6)…

A: I have given an answer in step 2.

Q: Match the quadratic function with its graph. Ax) =-(x-2)2

A: If a parabola has a vertical axis, the standard form of the equation of the parabola is this:…

Q: What is the quadratic equation, written in standard form, for the graph shown below? -4 -3 -2 2 3 4…

A:

Q: Find the maximum or minimumm value of the quadratic function g(x) = 2x2 + 6x + 3.

A: gx=2x2+6x+3 Comparing with gx=ax2+bx+c, we get a=2,  b=6  &  c=3. Since a>0, therefore given…

Q: Given the quadratic function g(x) = x² – 2x – 2 and its graph, answer the following problem parts.…

A: g(x) = x2 - 2x - 2   Interval = ?  where g(x) > 0  => g(x) > 0 => x2 - 2x - 2 > 0

Q: 4. a. Construct a quadratic function with zeros at x = 1 and x = 2. b. Is there more than one…

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Q: What is the equation of a quadratic in standard form, given the zeros x = 3 and x = 6 and the point…

A: The solution is given below.

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

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Q: A certain quadratic function has the factors (2x−5) and (3x+4). What are the zeros of the function?

A: To find the zeros of the function we have to set the factors equal to 0, and then solve for x. Given…

Q: Find the equation of the quadratic function g whose graph is shown below. -10 -8 (-2, – 5) . 8 (x) =…

A: The general equation of downward opening parabola is  (x-h)2=4p(y-k), where (h,k) is the vertex.…

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: Determine the quadratic function f(x) = ax + bx + c, whose graph is given. 2. 10 (-1, 4) 主 -10 10 x

A: We have to find quadratic function by graph.

Q: The quadratic function f(x) = x² + bx + 81 is a perfect square trinomial. What is a possible value…

A:

Q: A fast-food restaurant has a cost of production C (x) = 12x + 88 and a revenue function R(x) = 8x.…

A:

Q: The graph of a quadratic function is shown on the grid. 10 1. 510-9-8-7-6-5 -3-2-1 23 69 -3 -4 -5 -6…

A: The graph of a quadratic function is given in the problem. From the graph, There are two…

Q: A fast-food restaurant has a cost of production C(x)=13x+90 and a revenue function R(x)=8x. When…

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Q: The vertex of the quadratic function f(x) = 2x² – 8x + 11 is a) (2,3) b) (-2,-3) c) (-2,3) d) (2,-3)…

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Q: A fast-food restaurant has a cost of production C(x) = 14x + 160 and a revenue function R(x) = 6x.…

A: Sol Cx=14x+160,R(x)=6xHence , Profit Function P(x) = R(x)-C(x)

Q: Which quadratic function has the largest maximum? (1) h(x)= (3–x)(2+x) (3) k(x)=-5x² -12.x+4 y(x)…

A: The maximum value of a function corresponds to the greatest function value or the highest point of…

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

A:

Q: A fast-food restaurant has a cost of production C(x) = 14x + 108 and a revenue function R(x) = 82.…

A:

Q: A fast-food restaurant has a cost of production C(x)=11x+95 and a revenue function R(x)=6x. When…

A:

Q: 10. Find the quadratic function for which the vertex is (-1,2) and contains the point (1,6)

A: Solve for the equation

Q: Given that a>5 and the equation ax -10x+c=0 has real root(s). What is the maximum value of integer…

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Q: Given the quadratic function y = x2 + 8x + c , where c is some real number constant, answer the…

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Q: Find the vertex of the quadratic function f(x) = x² – 6x + 42 then express the quadratic function in…

A: Consider the given quadratic function: fx=x2-6x+42 Here, the objective is to express the given…

Q: Given that f(x) = x2 - bx - 4 and that the minimum. value of f(x) is 3. find two possible values of…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 11. Given the quadratic function f (x) = 2x2 – 12x + 14 Express the equation in standard form (also…

A: The standard form or vertex form of an equation is given by y=ax+h2+b, where x, y are variables and…

Q: Choose the letter of the best answer. Write the chosen letter on a separate sheet of рaper. 1. What…

A: Consider the given equation 3x2+5x=6. The general form of a quadratic equation is ax2+bx+c=0, a≠0.…

Q: 3. Express the quadratic function g(x)=-4x² +4x+5 in the form a(x-h)' +k by completing the square,…

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Q: 1. Determine the equation in standard form of the quadratic function shown. 在 (-2,0) (3.0) (4, -3)…

A: Equation of the quadratic equation.