f(x) = 2x - 15 g(x) = v2x h(x) = j(x) = -(2x)2 12. (f+g+h+D(1) 13. (h + j)(x) 14. h(g(81))
Q: g(x)-=x^2+4x-6- 10- f(x)-= 2^x- -5- 15 -10 -5 -5- 10 g(x) = -10 when x = 3 g(-2) = -10 g(-5) - f(0)…
A: The function is the mathematical expression that tells the relationship between one variable and…
Q: 5. f(x) = x², 6. f(x) = 1- - g(x) = 4x + 5 3 x + 3 7. f(x) = x + ₁1/2x - 3, g(x) = 1 x-1 g(x) = 3
A: As per guidelines we can answer only one question at a time so if you need more answer kindly repost…
Q: f(x) = v3x _g(x) = 7\x + 6 h(x) = 9\x – 3 J(x) = 8x k(x) = -8/3x m(x) = x + 4 n(x) = 2\3x r(x) = v3x…
A:
Q: For a certain company, the cost function for producing x items is C (x)=30x+100 and the revenue…
A: Given, The cost function is C (x)=30x+100 The revenue function is R(x)=-0.5(x-90)2+4,050 The maximum…
Q: A fertilizer producer finds that it can sell its product at a price of p = 300 – 0.1x dollars per…
A:
Q: f:R - R S6 – x2 x 2 1 x < 1 fx 4x + 1 x=1, x= -1-
A:
Q: Max Z=3 x1+2 X2 s.to -X,+2x2 <4 3x1+2x2 S14 using Graphical Method X1-X2 S 3 X1 , X2 20
A:
Q: Please show me how to find the x value.
A:
Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…
A: C=0.02x3+58x2+1455 the average cost function is given by C¯=Cx C¯=0.02x3+58x2+1455x…
Q: A factory can produce two products x and y with a profit approximated by P= 14x+22y-900. The…
A: A factory can produce two products x and y with a profit approximated by P= 14x+22y-900. We are…
Q: 6. f(x) = x* – 3x³ + 2x2 – 5x – 7 at x = - 1 8. f(x) = V3x - 10 at x = 2 10. f(x) = 6x –6 at x = 0
A: For function to be continuous at a point x=alimx→af(x) =f(a)6) f(x)=x4-3x3+2x2-5x-7 at x=-1…
Q: 2. f(x) = Sx + 2 Solution: Domain Range 3. f (x) = Solution: Domain Range - SK) = x² +2 Solution:…
A:
Q: A manufacturing company has developed a cost model, C(x) = 0.15x3 + 0.01x² + 2r + 120, where x is…
A: Given that: Cost function, C(x)=0.15x3+0.01x2+2x+120Sale Price function,…
Q: The total revenue (in hundreds of dollars) from the sale of x spas and y solar heaters is…
A: Concept: Rxx, Ryy, Rxy, are the double partial derivative of x and y Maximum condition:…
Q: For a certain company, the cost function for producing x items is C(x)=40x+200 and the revenue…
A: Consider the given: Cx=40x+200Rx=-0.5x-1102+6050Find the…
Q: A fertilizer producer finds that it can sell its product at a price of p = 2500 – 0.5x dollars per…
A: Given that p=2500-0.5x
Q: 2. 1. f (x) = x° – 4x – 5 g(x)3Dx5 a) Find(-)æ x + 5
A: Consider the functions
Q: find the limit of each rational function (a) as xS q and (b) as xS -q.
A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…
Q: 4) Suppose the cost of producing x items is given by C(x) 4000 - x3 and the revenue made on the sale…
A: Consider the given question,The breakeven point occurs where profit is zero or when revenue equal to…
Q: To produce x units of some product a company spends C(x)=ax2+bx($), where a and b are real numbers.…
A: Sale value, S(x) = Sale price x sale volume = px Profit function = Sale value - cost Hence, P(x) =…
Q: 3) Ar) = VF g(x) = V-(r + 2) – 3 4) Ax) = VF g(x) = - Vx + 3 5) Ar) = Vx g(x) = -2 Vx - 1 6) Ax) =…
A: We have to find translation
Q: A fertilizer producer finds that it can sell its product at a price of p = 300 − 0.1x dollars per…
A: Given that, The total production cost (in dollars) for x units is: C(x) = 15000 − 125x + 0.025x2…
Q: The revenue from the sale of x door snakes is given by R(x)=45x−0.3 dollars. The total cost is given…
A:
Q: g(x) = 27x2 - x3 concave upward (-x , g) concave downward (g , x)
A:
Q: ose the percent of males who enrolled in college within 12 months of high school graduation is given…
A: Given: y=-0.126x+55.72 y=0.73x+39.7
Q: f(x) =x² - &r+4 g (x) = 4x – 3 h(x) =x+2 1) (+g)(x)= |2) - h)(x) = 3) (hg)(x) =…
A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…
Q: 1 -(x-6)* +5 f(x) = - 2 1 g(x): =-x -4 4
A:
Q: equation and the initial condition. 8. f'(x) = 9x² + 1, f(0) = 7
A: Given problem:- Solve f'(x) = 9x² + 1, f(0) = 7
Q: A fertilizer producer finds that it can sell its product at a price of p = 3500 – 0.7x dollars per…
A: Given that the selling price per unit is, p=3,500-0.7x dollars. The total production cost is,…
Q: I need help with number 21
A:
Q: x4 x3 7. Find the critical points of f(x) =-- 3x? + 10 - 3x² + 10 4 3
A:
Q: - Ix - 0l (i) f(x, θ) = - 2 (-∞<x<∞) 1 f (x, 6) = 5 -(x-6), 0 <x < 8, -8mθ<o. (ii)
A:
Q: x²-x-6 f (x) = x3+2x2-x-2 Hole: VA: НА: SA: x-intercepts: y-intercept:
A: Here, the given function is: f(x)=x2-x-6x3+2x2-x-2=(x-3)(x+2)(x2-1)(x+2)=x-3x2-1 So, the numerator…
Q: In Problems 37–42, analyze each rational function
A: Hey, Thanks for the question. Since you have posted multiple questions. As per our guidelines, we…
Q: A firm produces a product that has the production cost function C(x) = 420x + 14,420 and the revenue…
A:
Q: (-x² +3, 3. f(x)={ Vx-3+1, x>2 %23
A:
Q: A fertilizer producer finds that it can sell its product at a price of p = 1500 – 0.3x dollars per…
A: GIVEN: p = 1500 - 0.3x C(x) = 45000 + 375x + 0.075x2
Q: A firm can produce only 1300 units per month. The monthly total cost is given by C(x) = 500 + 200x…
A: Given that, the monthly total cost is, C(x)=500+200x and the total revenue is, R(x)=450x-1100x2.…
Q: A firm can produce only 3200 units per month. The monthly total cost is given by C(x) = 500 + 200x…
A: Find the profit function P(x):
Q: f(x) = 5x -6 g(x) = 7x+ 12 h(x) 6x2 - 13x - 19 j(x) 3x2-x+ 26 k(x) = 11x – 9 m(x) = 8x2 - 13x - 34…
A:
Q: y 10- - 10 -5 5 10 -5 |-10| f(x) = -2x + 1 f(x) 3D —2x2 - 9х 1 + 5x2 4 f(x) f(x) = x4 + 2x3 %3D f(x)…
A: Given
Q: For a certain company, the cost function for producing x items is C(x)=40x+100 and the revenue…
A: Given that the cost function is Cx=40x+100 and the revenue function is Rx=-0.5x-802+3200.Also the…
Q: V4 - x 8. g(x) = at x = 0 %3D
A:
Q: 5. P(x) = -3x- x³ + x² + x - 10 F(x) = 2x + x- 3x2 - 6 F(x) = x-x- x- 1
A: To find the number of zeroes and variations of polynomials. According to our company's guidelines I…
Q: -9x(x-2) 8. g(x)=(x²-3x² +1)* 8'(x) =. (2-3x²+1) 2x+1 (3x-1) 9. f(x)=2 _ 6(x² +10x+1) (x+5)* f'(x)…
A:
Q: A critical communications relay has a constant failure rate of 0.1 per day. Once it has failed,…
A: Given that a critical communications relay has a constant failure rate of 0.1 per day. Once it has…
Q: с. X-3 -3)x' +x² -1- -14x+3 x -1 d. X-1
A:
Q: Find the attractive fixed point of g(x) = 4x - x2 4 | 2
A: Fixed point: The point of intersection of y=f(x) and line y=x are known as fixed points: Example:…
Q: suppose a baby food company has determined that its total revenue R for its food is given by R =…
A: Given: R = - x3 + 36x2 + 540x R is measured in dollars and X is the number of units…
Q: 2х—4 -? x² - 5x 8. What x-value(s) are excluded from the domain of f(x)= 2
A: Domain set of all input values where function defined
Step by step
Solved in 4 steps
- John Swanson, president of Market Research Inc., has asked you to estimate the coefficients of the modelY = β0 + β1X1 + β2X21 + b3X2where Y is the expected sales of office supplies for a large retail distributor of office supplies, X1 is the total disposable income of residents within 5 miles of the store, and X2 is the total number of persons employed in information-based businesses within 5 miles of the store. Recent work by a national consulting firm has concluded that the coefficients in the model must have the following restriction:b1 + b2 = 2Describe how you would estimate the model coefficients using least squares.The population, P, of the city of Hazelton has grown according to the mathematical model P = 65,000(1.075)*, where t is the number of years since 2005. a) At what percentage is the population growing? b) If this trend continues, during which year will the population reach approx. 100,000?It is observed that a certain bacteria culture has a relative growth rate of 12% per hour, but in the presence of an antibiotic the relative growth rate is reduced to 5% per hour. The initial number of bacteria in the culture is 22. Find the projected population after 24 hours for the following conditions.(a) No antibiotic is present, so the relative growth rate is 12%.(b) An antibiotic is present in the culture, so the relative growth rate is reduced to 5%.
- Q1 When regressing number of crimes committed by an individual against years of education you omit the relevant variable innate ability. Then, the estimated coefficient for education is going to be: A downwards biased B. upwards biased C. biased, but we cannot say in which direction D. not biased Q2 You estimate the equation: Y=6.2+0.41X. After finding heteroscedasticity, you run a second equation: Y/X=0.39+6.31/X. What is the effects of X on Y based on your preferred specification? A. A 1 unit change in X increases Y by 6.31 units. B. A 1 unit change in X increases Y by 0.39 units C. A 1 unit change in X increases Y by 6.31%. D. A 1 unit change in X increases Y by 39% Q 3 Which of the following are advantages of the use of panel data over pure cross- sectional or pure timeseries modelling? (i) The use of panel data can increase the number of degrees of freedom and therefore the power of tests (ii) The use of panel data allows the average value of the dependent…The U.S. Bureau of the Census prediction for the percentage of the population 65 years and older can be modeled as p(x) = −0.00022x3 + 0.014x2 − 0.0033x + 12.236 percent where x is the number of years since 2000, data from 0 ≤ x ≤ 50. 1. Determine the value of x in the domain 0 ≤ x ≤ 50 for which the percentage is predicted to be increasing most rapidly (Round your answer to three decimal places). 2. Thus, in which year is the percentage is predicted to be increasing most rapidly? 3. Calculate the percentage at that time. (Round your answer to two decimal places.) 4. Calculate the rate of change of the percentage at that time. (Round your answer to three decimal places.)A firms production function is π = 4x+8y-3x2-2xy-3y2 and it maximum output capacity 2x+y=15 What would be the estimation of the effect on profit if output capacity is expanded by 1 unit? A) Profit will increase approximately by 8 B) Profit will decrease approximately by 16 C) Profit will decrease approximately by 16 D) Profit will increase approximately by 16
- A manufacturing company has been experimenting with a new additive that is used to reduce polluting effluents from its production facility. Test results suggest that if no additive is used, pollution levels are 3000 parts per million (ppm). For each pound of additive used per week, pollution levels are reduced by 0.49 ppm. The additive costs $30 per pound. The reason for experimenting with the additive is that a government agency is conducting weekly air quality tests in the vicinity of the production facility. Regulations state that if pollution levels exceed 2000 ppm, a fine is imposed. The fine is $1000 for each ppm by which the pollution level exceeds the 2000 ppm limit. If the company has budgeted $80,000 per week to spend on the additive and any pollution fines, how much additive should be purchased each week for use by the company? What is the resulting amount that the company is willing to pay in terms of weekly fines?Using Reduction of Order: (D2-1)y = 2e2xHow do you find the critical point of 1/x+3
- The profit function for an operation is given byP(x, y) = 2200 + 24x − x^2 + 80y − y^2where x is the cost of a unit of labor and y the cost of one item. Find the maximum amount of profit that can be generated from this operation. It is necessryto do a prospective analysis of the profitability of this operation. Determine theapproximate increase or decrease in profit if the units of labor increases from 12to 13 while the price of an item remains the same at 40. Also, what if the laborremains steady at 12 but the price increase from 40 to 41?Market research for a certain ice cream company indicates that if the price per cup of ice cream is $50.00, the demand will be 1200 cups, whereas if the price is increased to $60.00, the demand will be 1100 cups. Now, suppose it is known that the total cost of production of x cups of ice cream is given by C(x) = 3x + 25,500. (A) Find the value(s) of x at the break-even points. (B) Use marginal analysis to approximate the profit from the sale of the 500th cup of ice cream. Compare this value with the exact profit from the sale of the 500th cup.When the HHI is less than 1500, the market price is a competitive one, while, when the HHI is ranging from 1500 to 2500, the market is slightly concentrated. When the value is above 2500, the market is extremely concentrated. Here, for all the 3 years the HHI is above 2500, implying that the market is highly concentrated one. Question Are your conclusions for HHI consistent with the five-firm concentration in all cases? Give two reasons to support your answer.