A veterinarian is enclosing a rectangular outdoor running area against his building for the dogs he cares for. He needs to maximize the area using 100 feet of fencing. The quadratic equation  gives the area, , of the dog run for the length, , of the building that will border the dog run. Find the length of the building that should border the dog run to give the maximum area, and then find the maximum area of the dog run.

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

A: Topic = Functions

Q: Determine the kind of this quadratic form,

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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: Determine the quadratic function f whose graph is given.     The vertex is (3,−4) and the other…

A: Given :- The vertex is (3,−4) and the other given point is (2,-1).

Q: An apple orchard produces a profit of $40 per tree when planted with 3200 trees. Owing to…

A: Let number of tree is x Profit peer tree is equal to 40-0.04x-3200 Hence, total profit Px is…

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

A:

Q: A farmer wishes to enclose his armadillos into a rectangular region that will be bounded on one side…

A:

Q: The total amount spent by some number of people on clothing and footwear in the years 2000-2009 can…

A:

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

A:

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: Create the equation of a quadratic function that has a vertex (3, 18) and x intercept at (6, 0)

A: Find the value of constants from the given condion gives us the equation.

Q: The total amount spent by some number of people on clothing and footwear in the years​ 2000-2009 can…

A: Given that: The total amount spent by some number of people on clothing and footwear in the years​…

Q: The total amount spent by some number of people on clothing and footwear in the years 2000-2009 can…

A:

Q: When the graph of a quadratic function opens downward, its leading coefficient is ________ and the…

A: To find: When the graph of a quadratic function opens downward, its leading coefficient is ________…

Q: snip

A: Why does the graph of a quadratic function opens up if a>o and down if a<0?

Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = -x2 -…

A:

Q: b.) 3x2 – 2x – 5

A: given quadratic polynomial is                                       P(x)=3x2-2x-5 we have to find…

Q: Determine, without graphing, whether the given quadratic function has a maximum value or a minimum…

A: Determine, without graphing, whether the given quadratic function has a maximum value or a minimum…

Q: Find the area of the largest rectangle with one corner at the origin, the opposite corner in the…

A:

Q: A retailer who sells backpacks estimates that, by selling them for x dollars each, he will be able…

A: Given: A retailer who sells backpacks estimates that, by selling them for x dollars each, he will be…

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: Find the equation of a quadratic function from its graph.

A:

Q: Give the domain and the range of the quadratic function whose graph is: The vertex is (-3, -4) and…

A: Domain:   The set of values of x for which function is defined or exist.…

Q: billions of​ dollars) for the years 2010 to 2015 can be approximated by the following quadratic​…

A:

Q: Complete the square and find the minimum or maximum value of the quadratic function. y = −9x2 + x

A: A parabola with equation of the form y=a(x-h)2+k has vertex at (h,k) and opens up or down. If it…

Q: The science department on planet Zoplik created a catapult to launch objects off of the roof of a 45…

A:

Q: A goat farmer is building a pen using a total of 300ft. of fencing. If the pen is to be three times…

A: (a) Let the length of the pen be y ft and the width of the pen be x ft. Determine length y in feets…

Q: The total amount spent by some number of people on clothing and footwear in the years​ 2000-2009 can…

A: The solution is given below :

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

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

Q: Give the domain and the range of the quadratic function whose graph is :Maximum = -6 at x = 10

A: we know that quadratic function domain is always x∈R, so domain will be x∈-∞,∞ if, maximum value of…

Q: A small cell phone company estimates that by charging xx dollars for each phone, they can sell…

A: We use second derivative test to find out where revenue maximum

Q: Find the maximum value of the quadratic function f(x)= – x² +2x+7.

A: for maximum value of f(x) put f'(x)=0.

Q: Use the graph of the quadratic function f(x)= a(x-h) +k to find the vertex, axis of symmetry, and…

A: Here we have to use the graph of the parabola to find the Vertex, Axis of symmetry and maximum…

Q: Find two quadratic functions, one that opens upward and one that opens downward , whose graphs have…

A:

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

A: Let us write the function of selling price ,cost price and profit of the company  Let x be the no of…

Q: Find the general equation of a quadratic function whose graph passes through the origin and has a…

A:

Q: Express the quadratic function -4x^2-20x+1 in vertex form

A: NOTE: Refresh your page if you can't see any equations. .

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by  P(x)=…

A: First of all, consider the given function P (x) which shows relation between the profit of a tour…

Q: Complete the square and find the minimum or maximum value of the quadratic function y=3x^2+3x+4…

A: Consider the equation: y=3x2+3x+4……1

Q: Find the area of the largest rectangle with one corner at the origin, the opposite corner in the…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: The domain of a quadratic function is all real numbers and the range is y ≤ 2. How many x-intercepts…

A: We are given the range of quadratic function y less than equal to 2. It means parabola is downward…

Q: Determine the vertex of the graph of the quadratic function  f(x)= x^2-8x+18

A:

Q: Find the maximum or minimum value of the quadratic function. f(x) = 3x2 - 18x + 5

A: Find the maximum or minimum value of the quadratic function.       f(x)=3x2-18x+5

Q: Suppose a particular solar trough has width 180 cm and depth 56 cm. Determine the quadratic function…

A: Answer is mentioned below

Q: er is going to fence three sides of a corral next to a river. He needs to maximize the corral area…

A:

Q: The total amount spent by some number of people on clothing and footwear in the years 2000-2009 can…

A: Explanation of the answer is as follows

Q: The total amount spent by some number of people on clothing and footwear in the years 2000-2009 can…

A:

Q: Find the quadratic function whose graph passes through the points (-1, -2), (2, 1), and (-2, 1).

A: You are looking for a function with:quadratic functionPoint at (-1|-2)Point at (2|1)Point at…

Q: The owner of a video store has determined that the profits P of the store are approximately modeled…

A: Profit function, P(x) = -x2 + 30x + 76