A farmer wishes to enclose his armadillos into a rectangular region that will be bounded on one side of his barn. If the farmer has 140 feet of fence: Write a quadratic equation that would best model the area of the rectangular region. What is the maximum area of the rectangular region? What dimension(s) would yield an area of 2,000 square feet?

Q: Complete the square and find the minimum or maximum value of the quadratic function. y = 2x 2 - 4x -…

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Q: Complete the square and find the minimum or maximum value of the quadratic function y=x^2+4x+5…

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Q: If a quadraticequation has two distinct real roots, what does this say about its discriminant?

A: correct ans is C. for real and district root,discriminant must be graterthan zero.

Q: The formula h =--gt² +vot + ho can be used to model the height of a projectile, where g is…

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Q: A 3 inch by 5 inch picture is surrounded by a frame of uniform width. The total area of the picture…

A: A 3 inch by 5 inch picture is surrounded by a frame of uniform width. The total area of the picture…

Q: Without graphing what is the vertex of the quadratic function 2x^2-8x+8

A: Topic = Functions

Q: Find the discriminant of the quadratic equation and describe the number and type of solutions of the…

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Q: Find the Maximum height of h(x) = -4x^2 + 320x + 100.

A: The given height function is h(x)=-4x2+320x+100

Q: 2x2 – x = 3

A: Solve equation

Q: the standard form of a quadratic function is: y = Ax² + Bx + C Which way does the parabola open if…

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Q: The length of a rectangular garden is 6 meters more than the width of the garden. If the area of the…

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Q: Find the area of a rectangle whose length and breadth are the roots of the quadratic equation x2…

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Q: What is the discriminant and what information does it provide about a quadratic equation?

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Q: Solve for the range and axis of symmetry of the given quadratic functions

A: To Solve for the range and axis of symmetry of the given quadratic functions4) y=x2+5x-145)…

Q: Complete the square and find the minimum or maximum value of the quadratic function. y = −4x2 + 3x +…

A: Factor out -4 from the first two terms on the right side

Q: If the discriminant of a quadratic equation is 4, then the equation has

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Q: Determine the vertex of the following quadratic y = -5x² – 10x – 7

A: The given Quadratic represent a parabola. Its vertex is the point where line of symmetry intersect…

Q: If the edge of the arch is the origin, and the arch has a width of 630 feet at the base, and the…

A: Given:maximum height of parabola =630ftwidth of parabola=630ftedge of parabola at origin

Q: If the zeros of a quadratic equation are -3 and 5, what would be the x-intercepts

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Q: Find the equation  of the quadratic function whose graph is a parabola passing through(0,-2)(-2,12)…

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Q: Find the area of a rectangle whose length and breadth are the roots of the quadratic equation…

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Q: If you are given five data points, How many quadratic splines will you have? How many number of…

A: Let the data points with graph is We have five data point x0,y0, x1,y1, x2,y2, x3,y3 ,x4,y4 First…

Q: discriminate

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Q: Complete the square and find the minimum or maximum value of the quadratic function. y = 4x − 12x2

A: Given quadratic function is Now, we add and subtract the square of half of coefficient of x , that…

Q: A veterinarian is enclosing a rectangular outdoor running area against his building for the dogs he…

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Q: What is the sum of the roots of the quadratic function y=x^2-11x+28?

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Q: Complete the square and find the minimum or maximum value of the quadratic function. y = 3x2 + 12x −…

A: Consider the given quadratic equation. y=3x2+12x-5 Find the derivative of equation. y'=6x+12 Find…

Q: What is quadratic equations?

A: We have to define the quadratic equations. Quadratic equations are the equations in one variable…

Q: Solve for a a %3D 2m²

A: Solve for a

Q: Complete the square and find the minimum or maximum value of the quadratic function. y = x2 + 2x + 5

A: Given, y=x2+2x+5 y=x+12+4 where x+12>0 for all values of x x+12≥0x+12+4≥4y≥4 y=4 is a minimum…

Q: A player kicks the ball, and it travels according to the quadratic equation h(x) - -16x+40x where h…

A: Given h(x) = -16x2+40x Then (a) h'(x) = -32x+40 To find the critical point , put h'(x)=0 Consider…

Q: The discriminant of the quadratic equation 3x2 + 6x - 1 = 0 is [ Select ] and tells us that there…

A: we have to find the discriminant

Q: The parabolic flight of an aircraft used to simulate weightlessness can be modelled by the quadratic…

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Q: Find the standard equation for the quadratic function y = 3x² + 11x-4.

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Q: A company that manufactures handbags has determined that the dollar cost of producing handbags per…

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Q: If the zeros of a quadratic function are -3 and 5, what is the equation of the axis of symmetry?

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Q: The length of a rectangular garden is 6 meters more than the width of the garden. If there are of…

A: Let x meters be the width of the garden.Therefore the length of the graden is (x + 6) meters,…

Q: Which is the vertex form of the equation for the quadratic function y = %3D 2x2 - 16x + 31?

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Q: High concentrations of carbon monoxide CO can cause coma and possible death. The time required for a…

A: Given equation - T = 0.0002x2-0.316x+127.9           .................(1)where,T = Exposure time in…

Q: Compute the ralue of the discriminant and give the number of realSolutions of the quadratic…

A: we have to find the discriminant and the number of real solutions

Q: If the discriminant of a quadratic equation is 2, then the equation has

A: The discriminant of a quadratic equation is given by b2-4ac We know that when the b2-4ac>0 then…

Q: If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its…

A: As  2 questions are given , so I will solve only the first question, We are given the height (in…

Q: Provide an example of a Quadratic Equation

A: Topic = Equaions

Q: Identify the minimum value of the quadratic x- - 4x + 5. Answer:

A: We have to find Minimum value of given function using Second Derivative Test.

Q: ciated with the quadratic form x)²- 2x1x2 + 3x1x3 – X1X3.

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Q: High concentrations of carbon monoxide CO can cause coma and possible death. The time required for a…

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Q: A person has a rectangular garden that has a length of 13 feet longer than the width. Set up a…

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Q: Solve the quadratic for x: -4x2 – 15x + 4 = 0

A: Given,            -4x2-15x+4=0