Facebook Visitors The number of unique monthly visitors in millions to Facebook can be approxi- mated by V(x) = 16x² + 7x + 32, where x is the number of years after 2008. Estimate the year when Facebook averaged 55 million unique monthly visitors symbolically and graphically.

Q: Range of y=x2 - 2

A: Proceed as shown

Q: Salmon Spawning The number of salmon swimming up- stream to spawn is approximated by S(x) = -x³ +…

A: The number of salmon swimming upstream to spawn is approximated by Sx=-x3+3x2+360x+5000.…

Q: f(x) = 4x² 8x +3 - x²+x-12

A: The given function is f(x)=4x2-8x+3x2+x-12

Q: G十 メ-5 5-X 3. X-5 Simplifu

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Q: Vx²+x-12 g(x)=2 x²+2x=15

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Q: Find the number of units x that produces a maximum revenue R. R = 66x2 − 0.04x3 x =  units

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Q: G2 Salve the follow ing inqualitie 3. 24\X+3< \x-8 12x-1) メ-2 く1 メ+3

A: Absolute value properties:  1. x ≤ a ⇔ -a ≤ x ≤ a 2. x≥a ⇔ x ≤ -a and x ≥ a Given: 1. 32x - 1≥4 2. x…

Q: An electric power plant uses solid waste for fuel in the production of electricity. The cost Y in…

A: Given  Cost(in dollars/hour) to produce electricity is y=12+0.3x+0.27x2 and Revenue(in dollars/hour)…

Q: Find the number of units x that produces a maximum revenue R. R = 156x2 − 0.08x3     x =…

A: Simply take the derivative of the given function and make equal to zero than solve for x.

Q: The profit function for a certain commodity is P(x) = 190x − x2 − 2000. Find the level of…

A:

Q: The profit function for a firm making widgets is  P(x) = 88x − x2 − 800.  Find the number of units…

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Q: |x|> 4 The interval form of

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Q: The profit function for a firm making widgets is P(x) = 132x - x² - 1200. Find the number of units…

A: Given the profit function is P(x) = 132x-x2-1200

Q: The profit function for a firm making widgets is P(x) = 198x − x2 − 1000. Find the number of units…

A:

Q: The total weekly revenue for a firm is R(x) = 6000x - 40x² sold. A maximum of 100 units can be sold…

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Q: f(x) = 14x - x², [0, 5]

A:

Q: Find the number of units x that produces a maximum revenue R. R = 51x2 – 0.02x³ X = units

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Q: 21) A camera production company's revenue is given by: R(x)-2x1 52x +750, where x is number of…

A: Find the number of cameras when the company produce to make $500.A camera production company’s…

Q: For a certain company, the cost for producing x items is 55x+300 and the revenue for selling x items…

A: Given   For Producing and selling x items Cost price=55x+300 Revenue=95x-0.5x2

Q: Solve cquation for X C. 2-xa %3D

A:

Q: The profit function for a firm making widgets is  P(x) = 88x − x2 − 1000.  Find the number of units…

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Q: f(x) = 10 - x2 %3!

A: Consider the given function, fx=10-x2 The limits are given as, Lower Limit: a=-1 Upper Limit: b=2…

Q: The total profit P(x) (in thousands of dollars) from the sale of x hundred thousand pillows is…

A:

Q: x-4yコG_ 473

A: As per the guidelines we can solve 3 questions only

Q: The average cost in dollars of producing x units of golf clubs is C(x) = x2- 18x + 140. Determine…

A: Average cost of golf clubs - C(x) = x2-18x+140Given that,C(x) should be below 75$Then,C(x) &lt;…

Q: LA - Detemine where the value of FGSIC AUC x-x2 1+8x2 is increasing and decreasi

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Q: 2x + Vx2 -9 For the function y Vx²-2 x²-2x+1 Solve to find domain only.

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Q: The profit function for a firm making widgets is P(x) = 88x – x² – 1000. Find the number of units at…

A:

Q: the number produced. If the total revenue is given by R(x) = 450x x2 dollars, how many items, x,…

A: Given query is to find the maximum profit .

Q: f(x) =7x+36x+ 46x +x-6

A:

Q: f(x) = x² – 5

A:

Q: Write an equation for the quadratic relation that results from each transformation. a) The graph of…

A: (a) when we translate  graph 6 units upward we add 6 to tha given function. So equation will…

Q: The profit function for a firm making widgets is  P(x) = 176x − x2 − 1000.  Find the number of…

A: Given that, Profit function of a firm making widgets is, P(x) = 176x - x2 - 1000 where x is the…

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 99x2/3 − 6x…

A:

Q: Find the number of units x that produces a maximum revenue R. R = 78x2 − 0.04x3   x=           units

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Q: = 4x -1 and g(x) = x+ 3. 2

A:

Q: 2x² – 4e*, find: If f(x) = 2x²

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Q: Find the number of units x that produces a maximum revenue R. R = 33x2 − 0.02x3 x = _____ units

A: Given R=33x2-0.02x3         Here we find the number of units x that produces        a maximum…

Q: The profit function for a firm making widgets is  P(x) = 154x − x2 − 1800.  Find the number of…

A:

Q: The total cost of production of x units of a product is given by C = x2 - 50x + 725 Find the level…

A:

Q: The total profit P(x) (in thousands of dollars) from the sale of x hundred thousand pillows is…

A: First we will find the derivative of profit function and put it equal to zero because at max profit,…

Q: h) lim *-3x-9 X8 4x2+29

A:

Q: lim (1 – 3x² )= x-2 а. -13 b. 11 С. 13 d. -11

A: By the linearity of limit of a function we can solve the given problem

Q: For a certain company, the cost for producing x items is 45x+300 and the revenue for selling x items…

A: For a certain company, the cost for producing x items is 45x+300 and the revenue for selling x items…

Q: The profit of a company can be expressed as: g(x) = -2x² + 160x where x represents the %3D number of…

A: Given profit function  g(x) = -2x2+160x where x represents the number of units sold. Also given the…

Q: The profit function for a firm making widgets is  P(x) = 154x − x2 − 1800.  Find the number of…

A: Consider the profit function:

Q: f(x) = 9x - 72 g(x) = x – 7x - 8 Find (x)

A:

Q: 25x2 %3D Find the domain of g(x) = 4) Write your solution in interval notation. 3x+6

A:

Q: Find the number of units x that produces a maximum revenue R. R = 114x? – 0.04x³ X = units

A:

Q: 4x+V1-2x S(x) = find the domain only. V9-x2

A: Given function, fx=4x+1-2x9-x2