The figure to the right shows an open box with a square base. The box is to have a volume of 12 cubic feet. Express the amount of material needed to construct the box, A, as a function of the length of a side of its square base, x.

Q: The growth of a certain bacteria can be modelled by the function, f(x)=250e^ .06t4t , where t is the…

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Q: A man drives from Detroit to Chicago, say 300 mi., at an average speed of 60 mi. per hr., stops 1…

A: Given : A man drives from Detroit to Chicago, say 300 mi., at an average speed of 60 mi. per hr.,…

Q: Determine the domain of the function. f(x) = xl/4

A: fx=x14

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Q: Write the height h of the rectangle as a function of x.

A: In two-dimension cartesian-coordinate system, the value of a function at a point represented by the…

Q: Find the domain and range of the function h(x) = 2/(x + 1)

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Q: What is the domain of the function? Vx+2

A: Solution: The objective is to find the domain of the given function

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Q: Can a function such as f (x) = 53x be written in the form f (x) = bx? If so, what is b?

A: Comparison of the functions helps to determine the validity of the statement. The given function is…

Q: Is the function f(x) even, odd, or neither? 2x + 1

A: When -x is substituted for x in a function f(x) and the same function is obtained then the function…

Q: Find the zeros of the function.

A: Our Aim is to find the zeros of the function given below:-r(x)=-12x2-24  -(i)

Q: A parachutist is falling at speed of 176 ft/s when his parachute opens. If the air resistance is…

A: Solution is in step 2

Q: From a 12-cm by 12-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A: Given, Cardboard of size 12 cm  by 12 cm in which square corner of sides x cm is cut out. We have to…

Q: Consider the function below. f(x) = Vx - 16x + 48 %3D What is the Domain? Enter your answer in…

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Q: In the Andes Mountains in Peru, the number (N) of species of bats is the function of the elevation…

A: Given N=f(h) is the number of species of bats at an elevation h feet above the sea level

Q: Graph the function : f(x) 4* I|

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Q: A rectangle has a length of 16 inches and a width of 9 inches. If the length is increased by x…

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Q: The amount of foreign earnings​ (in trillions of​ dollars) kept overseas can be approximated by the…

A: we have been given the function for the number of foreign earnings kept overseas  f(x)=0.232(1.18)x…

Q: Complete the following table for the function y = -6x + 26. 1 3

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Q: Write the equation of the function where f(x) = |x| has been reflected through the r-axis, shrunk…

A: The given function is f(x)=|x|f(x) is reflected through the x-axis.So the new function is:…

Q: The elevation of a valley above sea level (in feet) is modeled by the function f(x, y) = -2000 +…

A: Given the function, f(x,y)=-2000+0.004(x-1000)2+0.001(y+1000)2 in the direction u→=(0,-1000) The…

Q: Suppose that the revenue from selling x washingmachines isr(x) = 20,000(1 - 1/x)dollars. Use the…

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Q: Graph the function using translations. f(x) 3*+1 4

A: Given, y= 3x+1 Let y=0, 3x+1=0 Therefore, x-intercept doesn't exist.   Let x=0, y= 31+0=31 y= 3…

Q: Determine whether the function is one-to-one. h(x) = x2 - 2x

A: Given: h(x)=x2-2x Determine the value of the function at x=0. h(0)=02-2(0)=0

Q: A rain gutter is made from sheets of aluminum that are 20 inches wide. As shown in the figure, the…

A: We know that the aluminum sheets are rectangular in shape. The cross sectional area of the gutter is…

Q: A shipping crate has a square base with sides of length x feet, and it is half as tall as it is…

A: Square base, with sides of length x feet, and it is half as tall as its wide.

Q: A rectangular piece of cardboard is 4 times as long as it is wide. shorter side is y inches and an…

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Q: A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the…

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Q: The path of a ball is modeled by the function f(x)=-1/20 x^2+3x+5, where f(x) is the height (in…

A: The path of a ball is modeled by the function f(x)=-1/20 x^2+3x+5, where f(x) is the height (in…

Q: A rain gutter is made from sheets of aluminum that are 20 inches wide. As shown in the figure…

A: Width of aluminium sheet is 20 inches The edges are turned from both sides by x inches. The cross…

Q: Find the value of f(14) from the function.

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Q: Investigate when, historically, the use of the function notation y=f(x) first appeared.

A: Given, Investigate when, historically, the use of the function notation y=f(x) first appeared.

Q: Identify the parent function of f(x) = (x + 3)°.

A: Given function is f(x)=(x+3)3 Parent function of the given function.

Q: Express the function in the form f ∘ g ∘ h.

A: A function is a relation between an input variable and an output variable wherein each input…

Q: From a 18-cm by 18-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A: A square card board is of 18cm by 18cm side of a card board is 18cm find the volume of the box

Q: A ball projected upwards with a velocity on 128 feet per minute from a height of 5 feet above the…

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Q: Write a function that reflects f（x）= 2x^3 + 1 across the x-axis and shifts it 3 units down.

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Q: Write the equation of the parent function f(x) = x3 after it has been translated five units left,…

A: Given function We need to determine the function after f(x) has been translated 5 units left,…

Q: The elevation of a valley above sea level (in feet) is modeled by the function f(x, y) =…

A: Given,  The elevation of a valley above sea level (in feet ) is modeled by the function,…

Q: 1² – 1 f(r) : 1² + 4°

A: We have to sketch the curve of given f(x)

Q: From a 12-cm by 12-cm piece of cardboard, square comers are cut out so that the sides can be folded…

A: The length side of the box is 12-x-x =12-2x cm So the area of the box is (12-2x)2 cm2 Here height of…

Q: What is the area A of a circle expressed as a function of its circumference C?

A: Our Aim is to express the area A of a circle as a function of its circumference C=?

Q: An open-top box is made by cutting equal squares of side x out of the corners of a piece of carboard…

A: Given that an open top box is made by cutting equal squares of side x out of the corners of a piece…

Q: ? What is the domain of the function h(x)=

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Q: find the total cost C(x)C(x) in dollars of renting a van for a day and driving xx miles?

A:

Q: 1. y=-3x+6x² -1

A: The given function is: y=-3x+6x2-1

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x ^ 2 - 9…

A: Given function fx=x2-9 The given point is (0,-1) ,To find the closest point on the graph First…

Q: Graph the function. f(x)= 2 В. O A.

A: Here we have to graph the function f(x)=6x2

Q: Starting with the graph of f(x) = 52, write the formula for the function that results from (a)…

A: Shifting of graph problem