Bob owns a watch repair shop. He has found that the cost of operating his shop is given by c(x) = 4x2 - 312x + 49, where c is cost and x is the number of watches repaired. How many watches must he repair to have the lowest cost?

Q: John owns a hot dog stand he has found that his profit is represented by the equation P equals…

A: The given profit function is Px=-x2+76x+80 where x is the number of hot dogs sold. It is known that…

Q: Identify the extraneous solution of the equation -4x – 11 = V-8x – 14. 15 x : 4 4 ||

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Q: The cost C in pesos of removing x percent of pollutants from the swimming pool in the resort is…

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Q: The diagram shows two rectangles ABCD and PQRS. AB = (2x + 5) cm, AD = (x + 3) cm, PQ = (x+4) cm and…

A: topic - quadratic equations

Q: Find the general solution y'=x-5/x^2-4x+4

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Q: An apartment management company owns a property with 100 units. The company has determined that the…

A: Solve the problem by construct the equation at first.

Q: Bob owns a watch repair shop. He has found that the cost of operating his shop is given by…

A:

Q: The cost of producing x cartons of CDs is C(x) dollars, where C(x) = 125x + 750. The CDs sell for…

A: Given: Cost function C(x) = 125x + 750 and sell for $375 per carton

Q: Molly is a coffeeshop owner in Milwaukee and estimates the revenue (the money earned from selling…

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Q: The cost, c, for manufacturing x flags is given by c=x²-14x+40. Find the number of flags…

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Q: Find the general solution (D3+2D2+D+2)y = 0

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Q: Bob owns a watch repair shop. He has found that the cost of operating his shop is given by C(x) =…

A:

Q: Find the general solution (D2-4D+4)y = 12x+2e3x

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the…

Q: manufactures satellite systems; their monthly profit P , from producing and selling x systems, is…

A: Given problem:- Manufactures satellite systems; their monthly profit P , from producing andselling x…

Q: Find the general solution for: (D² + 20D + 200)y = 20

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Q: (5) The profit for Cocoa Board cocoa beans is given by I(x) = -15x? + 180x – 405 thousand dollars,…

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Q: Find the general solution of (D² – 4)y = 4x – 3e*

A: Given Differential equation is (D2-4)y=4x-3ex

Q: The cost equation for a company to install X square feet of brick pathway is C =208+13x, and the…

A:

Q: find the general solution (D^2+9)y=5e^x-162x^2

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Q: The marketing department of a company has determined that if it spends æ thousands of dollars on…

A: We first find the critical points of the function R(x,y), the points at which both the partial…

Q: Find the general solution. y" – y' – 2y = 4x2

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Q: A soft-drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans…

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Q: The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in…

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Q: Find the general solution. (D2 − D − 20)y = e2X

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Q: Bob owns a watch repair shop. He has found that the cost of operating his shop is given by c(x) = 3x…

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Q: the owner of a video store has determined that the cost C, in dollars, of operating the store is…

A:

Q: f the remainder of the x3 - kx2 + 3x- 2 when divided by x 1 is 4, find he value of k.

A: Use reminder theorem.

Q: Bob owns a watch repair shop. He has found that the cost of operating his shop is given by c(x) =…

A:

Q: (5) The profit for Cocoa Board cocoa beans is given by Π(x)= −15x^2 + 180x − 405 thousand…

A:

Q: Find the solution of (D²-4D+5)y=0.

A: We first find roots of auxiliary equation then we write the general solution.

Q: Q4. Find the domain of the equation x +5 y = Vx2 - 16

A: The given equation is y = x+5x2-16. We have to find the domain of the function, i.e., the set of…

Q: (a) How many tonnes must be sold for to not make a loss?

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Q: A blogger earns R(x) = 9x + 0.073x² in revenue, where a is the number of subscribers, and has a cost…

A: Given that Rx=9x+0.073x2Cx=1950+8x

Q: Find the general solution. (D3 + D2 − 4D − 4)y = 4x + 2e-2x

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Q: solve my grouping method x2 + 7x +12

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Q: John owns a hot dog stand he has found that his profit is represented by the equation P equals…

A: given equation is p(x) = x2 + 76x + 80  but there must be a correction in this equation is to find…

Q: Obtain the general solution using the method of undetermined coefficients. (D² + D - 6) y = 18x²e^2x

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Q: The revenue generated by a company manufacturing lawnmowers is R(x)=-0.1x^2+53.4x. Where ex…

A: Given:    R(x)=-0.1x^2+53.4x      C(x)= 43x+500

Q: SOLVE THE NHLDECC USING UNDETERMINED COEFFICIENT (D3 + D² – 4D – 4)y = 3e¯x – 4x – 6 ANSWER: y =…

A: Solve by undetermined coefficient

Q: A gym charges a $15 registration fee and $5 per session. If x represents the number of sessions, the…

A: Explanation and solutions is given below.....

Q: Determine the solution, f 3D3X 1. v=-3x+7

A: System of linear equations

Q: Use the equations for the total cost C and total revenue R to find the number x of units a company…

A:

Q: Bob owns a watch repair shop. He has found that the cost of operating his shop is given by…

A: Differentiate cost function to get value of x, use second derivative to check for maxima or minima

Q: Here are recipes for two mixtures of salt and water that taste different. Mixture B is defined by…

A: It is given that Mixture A uses 4 teaspoons of salt for 5 cups of water. So if you double the cups…

Q: Use the equations for the total cost C and total revenue R to find the number x of units a company…

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Q: The marketing department of a company has determined that if it spends æ thousands of dollars on…

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Q: The value of x is 4x -9 A 15 D

A: A line is tangent to a circle if and only if the line is perpendicular to the radius drawn to the…

Q: A potter makes bowls and has estimated that the cost C (measured in dollars) of making x bowls is…

A: topic - equation in one variable

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.