The graph of the quadratic function f(x) = (x - m)(x - n) is given below. If the x-coordinate of the rertex is x = 3/5, then find the values of m and n E

Q: 1. For the quadratic function f(x) = x² + 6x + 11: a) Write the function in the form f(x) = a(x –…

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Q: The function f(x)=12-6x4 has an absolute maximum value of _____________ and this occurs at x equals…

A: Given, Function f(x)=12-6x4

Q: Find the length L of the graph of 3 ( a) f(x)=x/2 +1 for 0<x< 4

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: 8. For the quadratic function f(x)=2x² – 24.x+90 (a) Complete the square to put the equation into…

A: Given query is to find the the vertex form and the minimum value of f.

Q: Given the profit function P(x) = 1.3x – 0.01x² – 30, find the value of x at the function's optimum…

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Q: The area of the largest rectangle that can be drawn with one side along the x-axis and two vertices…

A: The diagram below shows the rectangle as mentioned in the problem, The rectangle is symmetric about…

Q: 4. Find the values of x for which the line tangent to the graph of f(x) = 3x2 – 4x + 8 has a tangent…

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Q: 3. If y = 4v2 r x – 1, find the length of the graph of f 3 from point a = 0 to x = 1.

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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: 4. Find the values of x for which the line tangent to the graph of f(x) = 4x2 – 8x + 4 has a tangent…

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Q: Consider the following quadratic function. f(x) = −4x2 + 6x − 8 Find the vertex. (x, y)=

A: To determine the vertex of the equation.

Q: 10. Given that f is a quadratic function with minimum f(3) = 6, find the vertex, range, and…

A: Consider the given question,Quadratic equation is a parabolic equation and its vertex is highest or…

Q: snip

A: Given function is fx=ax2+bx+c, where a≠0. To find the x-coordinate of the vertex. Solution: Vertex…

Q: 1. Sketch the graph of the following Quadratic function f(x) = (x- 1)2 -4 and find the following (a)…

A: Given Quadratic Eqaution :  y= (x-1)2-4 Graph :

Q: Given that f is a quadratic function with minimum f(x) = f(1) = 3, find the axis, vertex, range and…

A: Given, f is a quadratic function with minimum f(x) = f(1) = 3. We have to find the axis, vertex,…

Q: 22. Find the maximum or the minimum value of f(x)=-2x² –10x+5. SLO 11

A: To find the maximum and minimum values of the function

Q: Find the Quadratic approximation of the function at the given value f(x) = 1n(x + 1)     near a = 0

A: Given  The function is f(x) = ln(x + 1)     near a = 0 .   Formula for Quadratic approximation :-…

Q: Consider the following quadratic function. f(x) = −3x2 + 4x − 7 Find the vertex.   I end up…

A: Given:

Q: Find the equation of a quadratic function of the form f(x) = ar? +br + c with vertex at (4,8) and…

A: We have to find a quadratic equation of the form fx=ax2+bx+c with vertex at 4,8 and x-intercept is…

Q: 2. Begin by graphing the standard quadratic function f(x) = x² . Then use transformations of this…

A: 2.   The given function,   gx=-12x-22+1

Q: Determine the graph of g = x^2 + sqrt of (x + 1) and solve for its extrema, concavity, and points of…

A: Please see the below picture for detailed solution.

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) &gt; 0  =&gt; g(x) &gt; 0 =&gt; x2 - 2x - 2 &gt; 0

Q: Find the value/s of x for which y=3x^4-4x^3+1 is maximum?

A: y=3x4-4x3+1 Differentiating with respect to x, we get dydx=34x3-43x2+0=12x3-12x2 Now to find…

Q: Find the maximum or minimum value of the function. h(x) =1/2x2 + 6x − 2 h(x)= Is this a maximum…

A: To find maximum or minimum of a function, we will take first derivative of f(x) to find critical…

Q: Consider the following total revenue function for a hammer. R = 20x – 0.01x² (a) The sale of how…

A: The revenue function of the hammer is R = 20x-0.01x2.

Q: Find a 4th degree function that has solutions X=-4-2/3 and x=-4+2/3, x=2i and x=-2

A: See the attachment

Q: Consider the following total revenue function for a hammer. R = 24x – 0.01x2 (a) The sale of how…

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Q: Consider the Quadratics function f(x) x^2 - 4x - 32   Its Vertex is _____ (    ,    )   Its…

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Q: The profit function of a company is P(x) = x² – 400x + 40000, then the break-even poi is %3D

A: The break-even point point occurs when the total revenue is equal to the cost. At that point, the…

Q: The function f(x) = 4 – 7x* has an absolute maximum value of and this occurs at x equals

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Q: An animal feed company must produce 200 kg of mixture consisting of ingredients x and x2.x costs 3…

A: we will first formulate the LPP using the given statements and then we will find the optimal…

Q: The weekly revenue for a product is given by R(x) = 132x-0.0135x, and the weekly cost is C(x) =…

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Q: If f (x) - 2x - kex has a relative maximum at x = -2, then the value of his

A: Given  f(x)=2x-k.exNote: As there is no h in the equation it is assumed that we need to find…

Q: Given the quadratic function g(x) = x² + 4x – 4 union, -INF for -∞ , and INF for 0ó. and its graph,…

A: Definition used -                   A function is positive when the graph of the function above the…

Q: If a quadratic function has the rule f (x) = (x – h)² + k, what will cause a vertical translation?…

A: The answer is given below.

Q: I want solve it in а раper 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy - 2y = 0

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Q: Find the maximum revenue for the revenue function  R(x) = 372x − 0.7x2.

A: To Determine :- The maximum revenue for the revenue function. Rx = 372x - 0.7x2

Q: Consider the Quadratic function f(x) = x² – 7x – 8. Its vertex is ). Its largest x-intercept is x =…

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Q: A quadratic function y J (x) is plotted on a graph and the vertex of the || resulting parabola is…

A: If y = f(x) + C ,then C &gt; 0 moves it up C &lt; 0 moves it down If y = f(−x), then Reflects it…

Q: Find the absolute maximum value of the function. f(x) = 2(x – e*)

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Q: Consider the following total revenue function for a hammer. R = 28x − 0.01x2 (a) The sale of how…

A: The given revenue function is Rx=28x-0.01x2. (a) It is known that the maximum value occurs at the…

Q: Given the profit function P(x) = 1.3x – 0.01x² – 30, find the value of x at the function's optimum…

A: The profit function is: P(x)=1.3x-0.01x2-30

Q: Suppose f(x)=(x−5)(x+4) Solve (x−5)(x+4)=0 for x. What x-value produces a maximum (or minimum)…

A: Given: x-5x+4=0 To Find: Maximum and minimum value of fx. Concept: Suppose that x=c is a critical…

Q: The quadratic function y = f(x) has the graph shown. 4 -6 -5 -4 \3 -2 I 2 3 4 5 6 -2

A: In order to find a quadratic equation from a graph using only 2 points, one of those points must be…

Q: Consider the following total revenue function for a hammer. R = 32x – 0.01x² (a) The sale of how…

A: a) R= 32x-0.01x^2 Differentiate with respect to x dR/dx = 32 -0.02x dR/dx=0 =&gt; x= 1600

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: The function f(x) = 12 – 6x4 has an absolute maximum value of and this occurs at x equals

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Q: Find the absolute maximum value of the function f(x) =-z² – 4x – 2 on the interval [3, 3 ]. a) О-2…

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