Write a function to model the volume of a rectangular prism if the length is 20 cm and the sum of the width and height is 20 cm. x where r is the width of the prism. 00F (2)A

Q: Write a function rule for "The output is six times the input x." y =

A: We use the given condition to write a function rule.

Q: Write -3 = t+ 4s as a function of s.

A:

Q: The plot below represents the function f(x): 4. -3 -2 -1 -2 Evaluate f(4): f(4) = Solve f(x) = 4:…

A: Given:

Q: Decide if the table represents a linear, exponential or quadratic function. y -12 -36 3 -108 4 -324…

A:

Q: The table shows a function. Is the function linear or nonlinear? 8 3 6 10 2 linear nonlinear

A: Linear function exist in the case has two variables only. If it has more than two variables, it is…

Q: Can the table shown below represent values of a function? Explain. Input 10 20 30 40 50 (x) Output…

A: for function  each input has only single output     As per our guidelines we are supposed to answer…

Q: Find the formula for a linear function f that models the data in the table exactly. f(x) -6 - 1 4 9.…

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Q: Write function as the composition of two functions. y = (3x2 - 7)2/3

A:

Q: Write function as the composition of two functions.

A:

Q: The curved line in the graph below is the function f(x) = x^2 -5 x + 17.  If a = 0.4 and b = 0.9,…

A:

Q: The dollar cost of producing x bagels is given by the function C(x) = 300 + 0.25x - 0.5(x/1000) 3 .…

A: To determine the cost of producing 2000 bagels, substitute x=2000 in function…

Q: Given the function below, find the point of inflection: y=a* _ 2p2 OP() O P(-1,-1) OP() O None of…

A: Given problem:- Given the function below, find the point of inflection:   y = x4 - 2x2

Q: How can I get the result? Which is the result?

A: The given functions are,

Q: A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to…

A:

Q: The table shows a function. Is the function linear or nonlinear? y 7 5 1/2 1/2 4) 1/2

A: If you like the solution then please give it a thumbs up.... The Answer is:           Result :…

Q: The function is given below. Find b(4). b(x) = -2x -4 %3D

A: the given function: b(x)=-2x-4we have to find b(4)

Q: Write an equation for the function graphed below 7.6 3 432

A: Vertical Asymptotes : x = -1 and x = 5 so,the denominator : (x + 1) and (x - 5) Horizontal…

Q: which eqation is a function?                                                                    A) Y…

A:

Q: Write an equation that shifts the graph of f(x)= x2      left 2 units

A: f(x) = x2 Aftet shifting 2 unita left The required equation is f(x) = (x+2)2

Q: An alrcraft factory manufactures airplane engines. The unit cost C (the cost in dollars to make each…

A: Given unit cost in the form of function is , Cx=x2-540x+89378 To find the number of engine must be…

Q: rite an equation for the function that includes the points. (2, 100) and (3, 1000

A: y-y1=(y2-y1)/(x2-x1) -(x-x1) y1=100 x1=2 x2=3 y2=1000 y-100=((900)/(1))-(x-2) y-100=900-x+2 y=1002-x

Q: Write an equation for the function that includes the points. (3, 12) and (4, 24)

A:

Q: The cost of a taxi ride is represented by the function c (m) = 2m +4, where m is the number of miles…

A: Givenc(m) = 2m+4 where m= number of mile

Q: Find the value of f (-9). y = f(x) 10 -10 -8 10

A: The given Graph is of function y=|x+3|-4

Q: 20 3. 27 32 35 36 35 8. 32 27 10| 20 11

A:

Q: The cost of producing x video game consoles is modeled by the following function. If a company spent…

A:

Q: Write an equation for the function graphed below. Assume no factor has an exponent greater than 2. 4…

A: The given graph intercept x-axis at x=2  Hence (x-2) must be a factor of y. x=-3 and x=4 are two…

Q: Refer to the function below, and evaluate g (-7). g (z) = z? - 2x

A: Please refer the attached image for complete solution.

Q: Write the linear function that is represented in the following table. 4 6 f(x) -4 3 10 17

A:

Q: The productivity. P, of a worker in a factory can be modeled by the function P(x) = - 2 + 24x ,…

A:

Q: + -7 -6 -5 -4 y = 5 4 3 2 1 41 -2 -3 -4 -5 1 2 3 4 I 5 6 7 Q

A: Given a graph of a function. The objective is to find the equation of the function. A rational…

Q: HW : Represent the functions on ( equation, graph and data table), then determine the range and…

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Q: Write an equation for the function that includes the points. (1, 3) and (2, 9/4)

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Q: Differentiate the function. A(s) 13 = - s6 A'(s) =

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Q: Write a function rule that represents the sentence. y is 8 less than the product of 7 and x. Write a…

A: To write a function from the given rules

Q: A store selling televisions is calculating the profit for one model. Currently, the store has 25…

A:

Q: 4. Can the table shown below represent values of a function? Explain. Input (x) 10 20 50 75 90…

A: Given table is

Q: Can you write a function rule that matches this table of values? 7. y 13 31 57 91

A:

Q: Write the rule for the function as an equation. 1 10 15 4 20 25

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Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: For diminishing point the second derivative of return function is set to zero

Q: Critical Thinking If f(x) = mx + b, what does the difference quotient for function f equal? Explain…

A: Given: f(x) = mx +b To find: The difference quotient for the function.

Q: The cost of renovating p%of pollutants from a coal -fired power plant can be given by the following…

A:

Q: Evaluate the function. f(x) = 2x? Find f(-6)

A: NOTE: Refresh your page if you can't see any equations. . the given function is

Q: Write a function describing the relationship of the given variables. p varies directly with the…

A: Given: p varies directly with the square root of q and when q=25, p=40. To Find: Write a function…

Q: Write a function to represent the table and give the average rate of change over the interval 1 less…

A: There are multiple question. As per Company policy ask other question separately.  1. it is…

Q: The table shows a function. Is the function linear or nonlinear? y 7. 4 10 6. 1/3 2.

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Q: f (x) = -a² + 6 Find f(-3)

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Q: A function is 3 6.

A: a.  yes b. t c. h(t)

Q: A movie theater models the revenue from ticket sales in one day as a function of the ticket price,…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.