Given a function fx) and g(x) = -x+1, how would the graph of y- fx) compare to the graph of %3D y = fAg(x))? O a) reflected in the y-axis and translated to the right O b) reflected in the x-axis and translated to the right O c) reflected in the x-axis and translated to the left d) reflected in the y-axis and translated to the left

Q: The region between the graphs of f(x)=x^2+3 and g(x)=−x+5 has ____________area square units.

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Q: The weekly profit, P, of a video rental store can be approximated by the formula P = 1.5n - 350,…

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Q: 1.b) Describe how the graph of g(x) = (x – V2) is obtained from the graph of f (x) x3.

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Q: For what values of x is the graph of y = re concave down?

A: Given function, y=xe-4x The graph of y=f(x)  is concave down on the intervals where  f''(x)<0 Use…

Q: Given a function Ax) and g(x) =-x+1, how would the graph of y = f(x) compare to the graph of y=…

A: Given, a function f(x) and g(x)=-x+1.

Q: A woman buys 5 packets of biscuits at $x each and 3 packets of biscuits at $Y each. What is the…

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Q: Assume that it costs a manufacturer approximately C(x) = 800,000 + 340x + 0.0005x2 dollars to…

A: In this question, optimization technique is used. Optimization Technique using maxima and minima The…

Q: A large department store is prepared to buy 3,800 of your tie-dye shower curtains per month for $6…

A: Given, q1 = 3,800 per month when p1 = 6 dollars  and q2 =3650 per month when p2 =11 dollars Or, (p1,…

Q: An open-top box with a square base is to be constructed by taking a 42 by 42 square piece of…

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Q: Graph the function for the given domaln. y =x2-3 D-3,-2-1,0,1) y 7. 3 -1 -2 -3 -5 -6 -7 -8 -8 -7 -6…

A: The given function is y=x2-3 and domain D={-3,-2,-1,0,1}

Q: I am having trouble figuring out if I made an error, I keep getting 8,000

A: From the given data: The price is directly proportional to the number of people and inversely…

Q: snip

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

Q: Hamed own a local gold market that currently has (4693401)subscriber in Instagram at a quarterly…

A: Given: There are 4693401 subscribers when the quarterly charge is R.O. 18 and 4684852 subscribers…

Q: x3 + 2x – 1 - 4x4 + 4x3 + 3x² – x – 1 -

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Q: in an intramural basketball league for men, the gas 12-rizal has won 12 out of 25 games. express a…

A: they want to win 3 game in a row to meet 60% detailed solution with explanation is given below

Q: 2. Sketch the graph of the function (a) f(x,y) = /x2 + y²

A: See the attachment

Q: The marketing research department for a computer company used a large city to test market their new…

A: Given relation between price(p) and demand(x) is p=1149-0.13x2     .....1

Q: A D Function "p" is in the form y = ax2 + c. If the values of "a" and "c" are both less than 0,…

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Q: The graph of the function f(x) =ax2 +bx +c has its vertex at (0,2) and passes through the point…

A: Given that a standard equation of parabola and its vertex and a point that is lie n this parabola.We…

Q: The graph of y =f(x+3)  is obtained from the graphof y = f(x) by shifting_________ 3 units.

A: Given, y =f(x+3)

Q: What is the smallest value for a such that (a,0) is an x-intercept for the graph of…

A: If point a,0 is an x-intercept for the graph of fx=4x3+11x2-8x-15, then it must satisfy the…

Q: Draw the graph of f(x) = 5" 2 10+ 7+ 5+ 4+ 3+

A: Solution: The objective is to graph the given function

Q: The bar graph shows the number of fatal vehicle crashes per 100 million miles driven for drivers of…

A: y = 0.013x2 - 1.19x + 28.24 We have to solve for the value of x when y = 10 Or, we have to…

Q: For a particular financial methodology, the risk-reward function was defined as y=x(Inx-2), where y…

A: The risk-reward function,    y=xlnx-2y=units of reward, x=units of risk

Q: Suppose that a Pizza Store revenues about 20, 000x pesos when employing y clerks. Let P be the…

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Q: 3. Find the exact area of the piece of land in San Francisco, Surigao del Norte which is bounded by…

A: Topic:- application of integration

Q: show steps please.

A: We will find the first two derivatives of F(x) We use the fundamental theorem of calculus To find…

Q: . The x-coordinate of the vertex of f(x) = ax2 + bx + c,a ≠ 0, is_________

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Q: Find P(x), the profit function.

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Q: Use the graph of a transformed toolkit function to write a formula for the resulting function. y = |…

A: We have to find function using given graph.

Q: Find the streamlines corresponding to: f(z) = z²

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Q: A manufacturer estimates that when x units of a particular commodity are sold domestically and y…

A: The profit function is given as: Px,y=x−3070+5x−4y+y−4080−6x+7yWhere x​​ units are sold…

Q: orm f(x) = ar² + bx +c whose graph %3D

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Q: 2. Suppose a wire three feet log is to be cut into two pieces, with each piece to be formed into a…

A: 2) as per our norms we have to write one question at a time kindly repost remaining questions.

Q: Where does the graph of fx equal 3e^x-x/2 have a horizontal position

A: A function takes a horizontal position at a point where x=a if f'(a)=0.

Q: The region between the graphs of f(x) = x² + 3 and g(x) = x + 9 has area square units.

A: SOLUTION-

Q: Find the consumer and producer surpluses by using the demand and supply functions, where p is the…

A: We will equate the demand and supply function to find number of units at equilibrium.

Q: The demand for a new computer game can be modeled by p(x) = 59.5 -7 In x, for 0sxs800, where p(x) is…

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Q: The x-coordinate of the vertex of f(x) = ax2 + bx + c, a ≠ 0, is ________.

A: For the standard form of a parabola:  fx=ax2+bx+c If a>0, the parabola opens up and the vertex…

Q: Let p=(12-2x)^2 for 0≤x≤3 be the price at which x hundred units of a certain commodity will be sold,…

A: Given: P=(12-2x)2         for 0≤x≤3            Revenue   R(x)=xP(x) then    R(x)=x12-2x2…

Q: Given three data points (1, 6). (3, 28), and (10, 231), it is found that the function y= 2x +3x + 1…

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Q: Graph x- t²- t+y on

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Q: Determine the intercepts of the graph of f(x) = -4x - and 0, 16 (3,0) and 0, and 0, 16 0 and 0, 16 O…

A: Please refer the attached image for complete solution.THANK YOU.

Q: Suppose that the manufacturer of a gas clothes dryer has found that when the unit price is p​…

A: a) If revenue is 0 then R=0 p can not be negative so, p=54.7722557505   Answer(a): p=54.7722557505…

Q: Suppose a firm’s profit function is given by π(q)=(1526*q-1*q^2 )-(1*q^2+11*q). What is the profit…

A: First, differentiate the profit function πq=1526q-q2-q2+11q with respect to q to maximize profit.…

Q: Find the points on the graph of f(x) = +o - ¤ – 1 where the slope is 2. O (1, 2/3) O (0,-1) and (-2,…

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Q: 2 use the graph of the functiong beiow as the tirst step toward grapning 3g points in each stage. (.…

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Q: Graph the function for the glven domaln. y = 2x D-2,0,2, 4 20 16 12 -8 -12 -16 -20 -n 4. -2 -1 0 1 2…

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Q: Find the consumer and producer surpluses (in dollars) by using the demand and supply functions,…

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.