A carpenter's shop has weekly fixed costs of $5,000 associated with the manufacture of bookcases that each cost $200 to produce. Find the cost equation C(x) if x is the number of bookcases produced each week. Input your answer in the form C(x) = mx + b.

Q: Find the x-intercepts of the given function.  y = 3x2 + 10x + 3

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Q: Write an equation for the quadratic graphed below x-intercepts: (-3,0) and (1,0). y-intercept:…

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Q: Graph the equation f(x) = (x2 - 1) / (x2 - 4) in a rectangular coordinate system.

A: For the x-intercepts, we set the numerator equal to 0. So, x=-1 and x=1.    To find the y-intercept…

Q: Marco was paid $8 an hour and received $500 at the end of the summer as a bonus. Stephen was paid…

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Q: Which of the constants in the equation f(x) = a * x ^ 2 + bx + c can be interpreted geometrically?

A: If x=0 then  f(x)=ax2+bx+cf(0)=a(0)2+b(0)+cf(0)=c This means the point is (0,c). This means the…

Q: Find the equation of the line through the y-intercept of f(x) = 3x³ + 1 – a7 – 4x³ and the…

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Q: The net profit in dollars per day for a small business owner is given by the equation, f(x)=…

A: Given: -

Q: Nolan is deciding between two truck rental companies. Company A charges an initial fee of $90 for…

A:

Q: Arianna is deciding between two different movie streaming sites to subscribe to. Plan A costs $32…

A: Here cost details of two plans are given. We have to find the expression representing the monthly…

Q: Find a, b, and c, so that the graph of the quadratic equation y = ax + bx +c passes through (-2,14).…

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Q: The general solution of y' x2 can be written in the form

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Q: Eliminate the arbitrary constants on the given equation: y = C2x² + C1x

A: We have to eliminate the arbitrary constants

Q: When Makayla moved into a new house, she planted two trees in her backyard. At the time of planting,…

A: At time of planting, t= 0. Height of tree A = 19 in Height of tree B = 35 in

Q: Find the x-intercepts of the given function.  y = 2x2 + 5x + 2

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Q: A company has a monthly advertising budget of $40,000. It is estimated that if x dollars are spent…

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Q: Given an equation x³ – y3 = 5, show that y" -10x %3D y5

A: Implicit Differentiation: Implicit differentiation is the procedure of differentiating an implicit…

Q: The quantity demanded each month of the Walter Serkin recording of Beethoven's Moonlight Sonata,…

A: Given:- The quantity demanded each month of the Walter Serkin recording of Beethoven's Moonlight…

Q: In the Fahrenheit temperature scale, water freezes at 32°F and boils at 212°F. In the Celsius scale,…

A:

Q: Find the equation of the quadratic function y = ax2 + bx + c whose graph is shown. Select three…

A: Consider the graph: The following coordinates on the graph are:3,0,4,1 and 5,0Point 3,0: a32+b3+c=0…

Q: In the linear equation Y = 3X + 2, when X increases by 4 points, Y will increase by __________.

A: In multiple linear regression, there will be more than one independent variable. In simple linear…

Q: Find the x-intercepts of the given function.  y = 4x - 4x2 - 1

A: given the function: y=4x-4x2-1For finding the x- intercept , y=0

Q: Find the general solution 2x'y - (2x + y) = 0

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Q: Find the x-intercepts of the given function.  y = 4 - 2x - x2

A: Our Aim is to find the x-intercept of the function given below:-y=4-2x-x2-(i)For x-intercept we will…

Q: Marco was paid $8 an hour and received $500 at the end of the summer as a bonus. Stephen was paid…

A: Marco was paid = $ 8/ hour Summer bonus = $ 500   Stephen was paid = $ 11/ hour Summer bonus = $ 300

Q: Use a graph to solve the simultaneous equations  y =2x2 – x – 2 and y = 2x .

A: Using a graphing calculator we graph two equations y =2x2 – x – 2 (red) and y = 2x (black)

Q: Find the solution of the equation which passes through the x-axis.

A: If it passes through the X-axis, then, y=0 & z=0 is satisfied. So, we get, 0 = (p²+q²)/2 +…

Q: Eliminate all the arbitrary constants in the equation y = Ae2x + Be-6x + Ce^x

A: We have to eliminate all the arbitrary canstants A, B and C

Q: The equation x 2= 2 x has three solutions: x = 2, x = 4, and one other. Estimate the third solution…

A: Given:

Q: The quantity demanded each month of the Walter Serkin recording of Beethoven's Moonlight Sonata,…

A: Given the price per compact disc, p(x)= -0.00037x+8 where p denotes the unit price in dollars and x…

Q: The cost equation for a company to install install X square feet of brick pathway is C=209+14x, and…

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Q: Eliminate all the arbitrary constants in the equation y = C1e3x + C2xe3x

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Q: (b) Michael had some egg-laying hens and used two kinds of tray to store the eggs. The larger tray…

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Q: The quantity demanded each month of the Walter Serkin recording of Beethoven's Moonlight Sonata,…

A:

Q: Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are…

A:

Q: A hairdresser is deciding where to open her own studio. If she chose location A, she will pay $1200…

A: So it's a making equation from given statement problem, so I'm providing hand written solution.

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

A:

Q: As x increases in value, does y increase or decrease? For the equation 4x+5y=2

A: The equation is 4x+5y=2 can be written as follows.

Q: the growth of bacteria is modeled by the equation Y = 2^ x/3. For which value of x is y = 32 ?

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Q: If x servings of Designer Whey (supplying 2 grams of carbohydrates per serving) and y servings of…

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Q: A business includes a monthly promotion funding of $154000. The commerce division calculates that if…

A: Given,z =f(x, y)= 340x0.9y0.9  subjected to x+y = 154000 let, g(x, y) = x+y-154000=0

Q: X+ X2 = 2X is a linear equation?

A: Solution: No.

Q: In an equation where is y is expressed in terms of x, the variable x is considered the

A: When we write y as a function of x or in terms of x it is an equation of x & y.

Q: y=C1cos(2x)+C2sin(2x) Note: when two or more constants is needed to be eliminated, number of times…

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Q: Solve the equation. Wx+3 3D x - 3 X -3

A: Here the given equation is Squaring both sides of the equation

Q: A computer company determines that its profit equation (in millions of dollars) is given by P = x -…

A: given profit equation of company (in millions of dollars) p=x3-48x2+720x-1000 and 0≤x≤40 . we have…

Q: The cost, C, of producing x Totally Cool Coolers is modeled by the equation C = 0.005x- 0.38x + 10…

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Q: The quantity demanded each month of the Walter Serkin recording of Beethoven's Moonlight Sonata,…

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

Q: x10 x2+4x14 %3D x2+2x-3

A: As per bartleby guidelines we only give first three question answers.

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.