0. An employee at a garden center fills a water tank once a day around noon to a height of 20 inches. The function M models the height of the water in the tank, M(x), in inches, x seconds after 12:00 p.m. on Monday as it fills. The function T gives the height of the water in the tank, T(x), in inches, x seconds after 12:00 p.m. on Tuesday as it fills. Here are the equations and graphs of M and T. *** M(x) = 5 T(x) = 5 – 10 %3D MDO beconds Describe how the tank filling on Tuesday was like Monday and how it was different than Monday. a. nh take roughly the 2ame amou Of 4ime

Q: 16. For the function g(x) = x² + x – 1, find and simplify: 9*+h)-g(x) h

A:

Q: What happens to the function f (x) = (x – 1)² + 1 when it becomes f'(x) = 2((x – 1)² + 1)? It is…

A: Given query is to find the transformation performed.

Q: The owner of a small restaurant can prepare a particular meal at a cost of 100 won. He estimates…

A:

Q: 14. Identify the graph of the function below: f (x) = 2* – 3 -3 -1 -8 -7 -6 -5 -4 -3 -2 -1 1 2 -1 1…

A: satisfy function value at some point

Q: 8. Determine algebraically if the function is even, odd or neither. y = -2' - |-2°|

A:

Q: The temperature of a town (in degrees Fahrenheit) can be estimated by the function…

A:

Q: What must be true about the integer n if the function f(x) = x^ n is an even function? If it is an…

A: Given that,

Q: Suppose that the total sales of bicycles and bicycle-related equipment was P 240 billion in 2013.…

A:

Q: The value of Mr. Dulaney's car x years after its purchase is given by the function V(x) = 15,…

A: The value of Mr. Dulaney's car x years after its purchase is given by the function:…

Q: Consider the graph of the function f(x)=(x^2−4 )/ (x^2−12x+20.) Find the x-value of the removable…

A: The function f(x) will have a removal discontinuity at x = a when the function will have a finite…

Q: The number of citizens (N) of barangay Alapan, Imus Cavite in t years is predicted to increase and…

A: N(3)=7 (3)^4-4(3)^3+150(3)+17500

Q: (1) If you have been hired at an annual salary of $23,000 and expect to receive annual increases of…

A: Since there are multiple questions the first question is answered as per our guidelines. kindly…

Q: An environmental scientist found that the number of gallons of a pollutant in a lake is growing…

A:

Q: A college has a financial aid formula that applies to applicants whose family's income is below a…

A: Given that, f(z) = 15000 + 2000zr

Q: 12. Is the function f(x) even, odd, or neither? 2x + 1

A: Given function is: fx=x22x+1 We know that a function f(x) is said to be an even function of x if…

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

A: The given function is, R=-14x3+3x2+8 The interval is 0 ≤ x ≤ 8

Q: determine where the graph of the function is concave upward and where it is concave downward. g(x)=…

A: Differentiating with respect to x, we get Again differentiating with respect to x, we get

Q: Determine the open intervals on which the graph of the function is concave upward or concave…

A:

Q: 4. What is the domain and range of the parent function, and what is the domain and range of f (x)?…

A:

Q: If a box with a square cross section is to be sent by a delivery service, there are restrictions on…

A: Volume can only be positive.We know that is x^2 is always positive , so for V to be  positive,…

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

A:

Q: which statements are always true for the graph of a cubic function?  I) When the graph has exactly…

A:

Q: Sketch the graph of the function f(x) = 2x − 1…

A: Given,           The function is fx=2x-1x+1x-3

Q: e following three functions will be largest for large values of x? (A)f(x)= x2 (B)r(x)= 4-x…

A: GIVENf(x)=x2,r(x)=4-x,h(x)=x16

Q: Find the value of k, if the constant k that makes the function continuous:

A: Given,          f(x)=x2+k2if x≤4kx+12if x>4

Q: Find a formula for a function that f(x) =

A:

Q: 2) A construction company uses the function S(t) = 28,000 - 2000t to determine the salvage value…

A: 0

Q: A tortoise and a hare are competing in a 1200-meter race. The arrogant hare decides to let the…

A: Given A tortoise and a hare are competing in a 1200-meter race Tortoise has a 750 meter head start…

Q: A college has a financial aid formula that applies to applicants whose family's income is below a…

A: Consider the given function fx=25000+5000x, where x is the the number of siblings and f (x) is the…

Q: Suppose a function f(x) has the following graph: 4 2- -4 -3 -2 -1 1 2. 3 4 -1- -2- -3- -4 Write a…

A:

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: Given that, The function changes concavity at the inflection point. To find inflection point, solve…

Q: Suppose you want to crop (remove) 4 inches from the width of a photo. After you have cropped…

A: original width = x  you have cropped (reduced) the width of the photo by 4 inches. So, new width =…

Q: The population of a town in Texas is modeled by the function f(x)=16,869(1.037)x. If the initial…

A: We have given population modeled by the function  f(x)=16869(1.037)^x For initial population put x=0…

Q: The owner of a luxury motor yacht that sails among the 4000  Greek islands charges $400 per person…

A:

Q: An open-box with a square base is to have a volume of 500 cubic inches. The material for the top and…

A:

Q: Suppose f(x) represents the cost, in dollars, of producing x tons of coal and g(t) represents the…

A:

Q: How much revenue does the company get from a customer who uses exactly 30 therms of gas in a month?…

A:

Q: 2. How does the value of a affect the graph of the general function ru y = af(x - h) + k? 3. How…

A: a decides the direction of parabola. If it is positive graph opens upwards, if it is negative, graph…

Q: 1, the area A of a circle as a function of its diameter d; the area of a circle of diameter 4 in.

A: Area of the circle = πr2............................................(i)                   radius =…

Q: What happens to the function f(x) = (x- 1)2+1 when it becomes f'(x) = 2((x – 1)2 + 1)? It is…

A:

Q: a) For any given function y = f(x), explain, with words, how you would determine whether or not…

A: To explain : The inflection point of a function.

Q: Suppose that the profit (in dollars) from the production and sale of x units of a product is given…

A: topic - functions note : as per bartleby guidelines ,we are supposed to anseer only first question…

Q: An electric company charges its customers $0.0577 per kilowatt-hour (kWh) for the first 1000 kWh…

A: We have to write the piecewise-defined function C for a customer’s bill where x is per kWh.  First,…

Q: 3. Determine the points in which the function shifts from increasing to decreasing and vice- versa.…

A: Let's find.

Q: In the power function f(x) = -4x°, what is the end behavior of f(x) as x goes to -o? (You can enter…

A:

Q: Determine where the graph of the function is concave upward and where it is concave downward. (Enter…

A: The function g(x)=x1+x2. We have to check where the graph of the function is concave upward and…

Q: a. The value of x that makes the function discontinuous. 3x f(x)= 3x-81 O 4 O -4

A: A function f(x) in an interval (a,b) is discontinuous if it is undefined at x=c where a<c<b.…

Q: Graph the piecewise function f(x) = 4, for x ≤ -2 x+1, for -2<x<3, -x, for x ≥ 3

A:

Q: A builder uses the function g defined by g(2) = 80x + 10000 to estimate the cost g(x), in dollars,…

A: Given:- A builder uses the function g defined by g(x) = 80x+10000 to estimate the cost g(x), in…

Q: You want to build a pen for your new puppy, and you want to put it next to your barn. You have 200…

A: Draw the diagram of the pen for the puppy.