Suppose that the total profit in hundreds of dollars from selling x items is given by P(x)=5x^2−6x+6. Find the average rate of change of profit ($ per item) as x changes from 2 to 4

Q: Differentiate y = 2(2x - 1)5/4.(2x + 1)3/4

A:

Q: Find f(-2) for f(x)=3x2^x

A: f(x) = 3x2^x we can also write this as f(x)=3x(2x)

Q: x=(2x+35)^1/2

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Q: 4

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Q: The rate of residential electricity consumption (in billions of kilowatt hours (kWh) per year) of a…

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Q: In a given community, the number of thousands of people infected with a strain of flu t weeks after…

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Q: What is the standard form of y = (3/200)x^2 ?

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Q: Suppose that a company’s weekly profit is given by the function P= -0.2x^2 +100x-2000 where x is the…

A: the given profit function is P=-0.2x2+100x-2000 the average profit function is given by P¯=Px…

Q: The function f(x)=30(1.4)^x gives the number of bacteria in a science experiment, where x is the…

A: Given f(x)=30(1.4)x   x-time in daysfor x=4, f(4)=?To get f(4) subsitute x=4 in f(x)

Q: Solve for x. (8/x^2-25)-(2/x-5)=(1/2x+10)

A: Just make denominator of each side equal.

Q: There are 100 bacteria in a Petri dish. The number of bacteria doubles every hour. How many bacteria…

A: The y-intercept of a function is the point where the graph of the function intersects the y axis.

Q: Suppose it has been determined that the sales at the gallery decline after the end of advertising…

A: Consider the model function for daily sales after the end of advertising campaign is S=7000-2-0.1x,…

Q: A graph of a function f is given. 1 y 1 0 1 X

A: Given: Graph of the function y=fx. To find: Value of f-17. Concept used: Consider a function y=fx,…

Q: Find the slope of the following function at x=1 and x=-2. f(x)= -2x^3+1/x-3

A: Given function is fx=-2x3+1x-3. To find the slope of the given function at x=1 and x=-2. Solution:…

Q: 2=1/2 - x/10

A: Here, the equation is given:

Q: downward and 2 units to the left f(x)=-2(x+1)^2

A: