Dana is filling a 1.5 gallon watering can at a rate of 0.75 gallon per minute. What is the domain of the function that represents the volume of water in the can after x minutes?

Q: What is the zero of the function?

A: We have to define the zero of the function.

Q: The dollar cost of producing x bagels is given by the function C(x) = 300 + 0.25x −…

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Q: Explain how you would determine when a function is increasing or decreasing,

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Q: The number of public elementary and secondary school teachers​ (in millions) in a particular year…

A: Given: f(x) the is number of public elementary and secondary school teachers​ (in millions) in a…

Q: The number of images on a computer screen grows according to the function f(x) = 700(3*), where x is…

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Q: write the slope-intercept form of the function

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Q: Differentiate the function.  f(x) = 240

A: Given function is

Q: Differentiate the function. y = 3(x2 - 1)3(x2 + 1)5

A: To Differentiate the function. y = 3(x2 - 1)3(x2 + 1)5

Q: Differentiate the function, y = 4x² +5 + In (x + 1)

A: Differentiate the given function using the below formulas. ddxxn=nxn-1  ddxC=0        where C is a…

Q: Do f(x) = 2x2 - 1 and h(t) = 2t2 - 1 represent the same function? why or why not

A: The two given functions are

Q: A large pharmaceutical company uses the function f(x)=1.454x-2917 to model the amount of money, in…

A: Substitute 2013 in place of x

Q: The perimeter of a rectangle is 422 inches. If the rectangle is x inches long, find a function for…

A: Let us assume a rectangle with length x inches and breadth y inches.

Q: An antique table increases in value according to the function v(x) = 850(1.06)* dollars, where x is…

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Q: Determine the function that would represent a rock that was thrown upwards at 16 feet per second…

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Q: The amount of money (in billions of​ dollars) lent to customers with credit scores below 620 for…

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Q: Differentiate the function y=1lnx.

A: Given function is y=1·lnx We know that any number multiply with 1 gives same number. So, function is…

Q: Determine where the function is (a) increasing, (b) decreasing, and (c) where the relative extrema…

A: Relative extrema occurs at critical points of the function(first derivative is 0).

Q: Is f(x) = 2x3 - 5 a one-to-one function?

A: A function f(x) is said to one one if, fx1=fx2⇒x1=x2

Q: Differentiate the function.  y=x6/x

A: This function can be differentiated by taking log on both sides. Then after differentiation, values…

Q: Suppose the number of Twitter followers for a particular celebrity x months afte opening her account…

A: fx=-20,000x2+800,000x

Q: Enter the equation of the function, g(x), whose graph is the result of f(x) = √√x shifted right 6…

A: Please see the below picture for detailed solution.

Q: Is f(x)=4x-3 a one-to-one function?

A: That's easy. Have a good day!!!

Q: 6 foot tall basketball player shoots a ball towards the basket and misses. The height in feet of the…

A: We can use projectile motion formula to solve the given function

Q: Identify the end behavior for the function - y = (3x-1)(x+2)^2

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Q: f(x)=-2x2-3

A: We have to transform the function f(x)= x² to f(x)= -2x² -3.   When we transform f(x) = x² to f(x) =…

Q: Differentiate the function. y = 2x/2 - 3x

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Q: The average price for a movie ticket in Detroit, Michigan was $8 in 2010, and it increases at 7% per…

A: To Determine: The average price for a movie ticket in Detroit, Michigan was $8 in 2010, and it…

Q: Is y=2x+1 a function or not?

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Q: the perimeter of a rectangle is 190 inches, if the rectangle is x inches long, find the function for…

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Q: How can you tell if a function is quadratic?

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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: An antique table increases in value according to the function v(x) = 850(1.03)* dollars, where x is…

A: First solve for year 1970 that is at x= 0 than solve for x= x1

Q: For a long-distance phone call, the phone company charges $⁢0.70 for the first 8 minutes or less,…

A: The company charges a constant charge for phone calls if we are using phone calls for first 8…

Q: I have a $ 40 balance on my cellphone. Each call costs 15 cents. Write a function f(x) which is the…

A: Initial Balance = $40 Every call costs 15 cents, 100 cents = $1 , 15 cents = $0.15

Q: Differentiate the function: f(x) = xSECx divided by 4 + x2

A: To differentiate the given function-f(x)=xsec(x)4+x2 Here we have used following formulas-…

Q: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate…

A: Given that: Rate of fall of snow for the first 2 hours = 1 in/hrRate of fall of snow for the next 6…

Q: Determine whether the function is increasing or decreasing.   b(x)=5−6x

A: Monotonic function→ A function f(b) is monotonicaley decreasing on Rif V x,x2 ε R , is x1 > x2…

Q: The total yield of corn on Mr. Geller's farm from 1991 to 2010 can be modeled by the function f(x)…

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Q: Differentiate the function. 4 F(x) 5

A: Given F(x)=45x10⇒ddx(45x10)⇒45*ddx(x10)We know that ddx(xn)=nxn-1

Q: The size of the raccoon population in a park increases  at 4.9%, with a current population at 119,…

A: To find the population of raccoons in 6 years.

Q: The function  models the daily profit, f(x)=-x2 +46x-360, in hundreds of dollars, for a company that…

A: f(x) = -x 2 + 46 x - 360 f(x) represents the daily profit in hundred so f(x) = 88

Q: the height of a ball Doreen tossed into the air can be modeled by the function h(x) =…

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Q: Classify the function as a linear, quadratic, or exponential. f(x) = 8x-7

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Q: Proble Diego wrote f(x) = (x + 2)(x – 4) as an example of a function whose graph has x-intercepts at…

A: Here x intercept comest at x=4,-2.

Q: The function f(x) = 12x gives the number of inches in x feet and g(x) = 3.28x gives the approximate…

A: The function f(x) = 12x gives the number of inches in x feet and g(x) = 3.28x gives the approximate…

Q: f(x) =-|x+9|

A: Given : f(x)=-|x+9|

Q: Differentiate the function.   f(x)  =240

A: We have to differentiate the function: fx=240 We know that differentiation of any constant is zero.…

Q: Differentiate the function and simplify the final answer. y = 2xsin x - x^2cosx

A: Given,y=2xsinx-x2cosx

Q: Is the function h(x)=-|x-4| +3 a one -one function?

A: This is an absolute value function , so for two values of x we will find same value of y.