Find the point at which the line f(x) = - 3x +8 intersects the line g(x) = -5z + 16 %3D %3D

Q: Find the point on the line y = 2x + 3 that is closest to the origin.

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

Q: The cost per unit of producing a product is 40+5 dollars, where x represents the number of units…

A: Consider the provided cost for 1 unit of the product, 40 + 5x dollars. For x units of the product,…

Q: Suppose a baby food company has determined that its total revenue R for its food is given by R = 23…

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Q: A T-shirt manufacturer is planning to expand its workforce. It estimates that the number of T-shirts…

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Q: Find the relative maximum and minimum values. =x2 + y² - 6x + 12y - 9

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Q: find the point at which the line g(x)=−1x+0g(x)=-1x+0 intersects the line k(x)=−4x+9

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Q: 2. Trace the curve x3 – 6x² + 11x – y = 6. -

A: Given curve is, x3-6x2+11x-y=6 That is, y=x3-6x2+11x-6 1) Domain and Range of given curve:    This…

Q: (a) Find the points of inflexion of the curve y(a² +x²) = x³

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Q: A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of manufacturing x…

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Q: Find the x-intercept and the y-inercept x-3y=-3

A: The y-intercept of the function is computed as follows.

Q: A firm can produce 100 units per week. If its total cost function is C = 600 + 1200x dollars and its…

A: Profit = Revenue - Cost  P(x)=(1300x-x^2)-(600+1200x) P(x)=-x^2+100x-600

Q: The distance of the line 7x+ y- 5=0 from the origin is A 2 B V2 D2/2

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Q: The Fallwing family loves gummy bears and pickled strawberries. Their monthly GB/PS utility function…

A: Given, utility functionU(x,y)=13lnx+7lny and budget constraint is given by:6x+8y=480-------(1)

Q: Q1. The sum of three positive numbers is 30, find the three numbers if their product is minimum?

A: Topic- Number System

Q: A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $12, the…

A: Given a baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $12,…

Q: A firm can produce 500 units per week. If its total cost function is C = 400 + 1400x dollars and its…

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Q: Determine the slope of the graph of 3(x2 + y2)2 = 100xy at the point (3, 1).

A: Given: 3x2+y22=100xy we know that slopem at given pointx1,y1 is given by m=dydx|x1,y1 so, we…

Q: Find the maximum value of f(x,y) = 14-x² - y² on the line x+2y=5.

A: Given Function f f(x,y)=14-x2-y2 on line x+2y=5We need to find the maximum value For the line…

Q: Solve the problem. Suppose that the dollar cost of producing x radios is C(x) = 400 + 20x-0.2x2.…

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Q: Find the point at which the line ƒ(æ) = 2x intersects the line g(x) = 4x + 12

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Q: Find the relative maximum and minimum values. Зx2 f(x,y) = + 10y2 + 3

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Q: Find the point at which the line f(x) = - x – 2 intersects the line g(x) 3x + 6 %3D

A: f(x) = g(x) Thus, -x-2 = 3x + 6   Separate variables to LHS and constants to RHS -x-3x = 6 + 2 -4x =…

Q: The product-exchange function for gasoline x and heating oil y, in hundreds of gallons per day, is…

A: From the given information:The product exchange function for gasoline x and heating oil y is:

Q: Find the point at which the line f(x) = – x – 2 intersects the line g(x) = 3x + 6

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Q: Find the equation of line (L) that passes through the intersection point of the two functions y = v2…

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Q: (d) Find the interval where the graph of y = x³ + 2x² – 4 is decreasing and concave - up.

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Q: Find the relative maxima or minima. Maximum of ƒ(x, y) = x2 - 5y2, subject to x - y = 12

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Q: Find the relative maximum and minimum values. f(xy) = 4x - 2y?

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Q: A firm can produce 200 units per week. If its total cost function is C = 400 + 1300x dollars and its…

A: topic - application of derivatives

Q: Find the maximum value of ƒ(x, y) = 49 - x2 - y2 on the line x + 3y = 10.

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Q: Find the slope of the curve y = x2 + 4x - 10 At the point (2, 3)

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Q: Find the point at which the line f(x) = 2x – 3 intersects the line g(x) = 5x – 6. %3D

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Q: Graphically, find the point (x1, y1) which lies on both lines 2x + y = 4 and x −y = 2.

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Q: Find the point(s) on the graph of y = (x^2 + 3x − 1)/x where the slope is 5

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Q: Find the point on the graph of the line f(x)=3x+4 that is closest to the point (6,3) x= y=

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Q: Find the point on the line y = 2x that is closest to the point (5, 2).

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Q: Find the point on the line y = 2x + 1 that is closest to the point (2, 2).

A: Given: Given equation of the line is y=2x+1 We want to find the point on the line  y=2x+1 that is…

Q: The graph of linear equation x+2y = 2, cuts the y-axis at:

A: Given linear equation is x+2y=2.

Q: Find the interval where the graph of y = x3 + 2x2 − 4 is decreasing and concave up.

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Q: Approximate the solution(s) to x3 = x2 - 5 using a graphing utility.

A: We have to approximate the solution(s) to x3=x2-5 using the graphing utility .

Q: Find the maximum value of f(x,y) = 14-x² - y² on the line x + 3y = 10.

A: Solution of given question is written in below steps.

Q: 3.Find the coordinates of the points on the curves y =x3 -3x2-12x+10 with the gradients -2.

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Q: Find the point at which the line f(x)=−5x−3f(x)=-5x-3 intersects the line g(x)=−x+1g(x)=-x+1

A: The given functions are fx=-5x-3gx=-x+1

Q: Find the point on the line 2x+4y+1=0 which is closest to the point (-4,2).

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Q: A picture frame company is willing to supply æ items for a price, in dollars, of p(x) = 2x + 208,…

A: Market equilibrium point:   The point when supply and demand curves intersect.   The supply and…

Q: Find the point on the line y = 4x + 3 that is closest to the origin. (х, у) -

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Q: Suppose a baby food company has determined that its total revenue R for its food is given by R = - x…

A: R=-x3+45x2+525x To find: Production level that will yield maximum revenue.

Q: y is a linear function of x with slope −4. If y is −3 when x is −1, what is y when x is 8? You do…

A: Linear Function  Y= mX+c  m= slope of function  c = Y intercept

Q: Find the curve whose slope at any point (x,y) is 6x^2−2x−5 if the curve is required to pass through…

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Q: The yield in bushels from a grove of orange trees is given by Y = x(400 − x), where x is the number…

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