Mr. Liu is driving with 10 gallons of gas in his tank. His car uses 1.5 gallons of gas per hour. Write the function g(h) that Mr. Liu can use to determine the number of hours, h, he can drive before his car runs out of gas.

Q: What is the zero of the function?

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

Q: The height of a projectile fired vertically into the air (neglecting air resistance) at an initial…

A: The height of projectile f(x) in feet is given by f(x)=96x-16x2, where x is time in seconds. The…

Q: is this a function and why y = x2 + 3

A:

Q: What are the x- and y-intercepts of a function, and how are they found?

A: The x-intercept is the length from origin to where the graph of the function cut the x-axis.   The…

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 value, V, of a computer can be modeled by the function y) = 1, 300(61)', where t is the number…

A: Given that V represents the value of a computer and t represents the number of years since the…

Q: Represent the equation in function notation. 3x + y = 7

A: 3x +y = 7  -> y = -3x +7

Q: What is the domain and range of y= 2-x Is it a function?     Please provide solution thanks!

A:

Q: What is the constant function?

A:

Q: The revenue from the sale of a product is given by the function R= 289x -x. Selling how many units…

A: To find the number of products to be sold for positive revenue

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

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: Determine where the graph of the function f (x) = x³ – 6x² is concave upward and concave downward.

A:

Q: what should my equation be?

A: Here in this table you wrote the values of functions from x=1 to x=9   For x=1, f(x)=3 For x=2,…

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

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

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

A:

Q: Which is the equation of the function?

A: Using Desmos, we get the graph of the functions as follows. The RED represents the function…

Q: Can the function be represented by an equation?

A: Yes, We do not need any representation as the function is itself an equation. As, Function shows the…

Q: Graph the function y = (x- 3) + 4 by transforming the base function y = x?.

A:

Q: Differentiate the function.  y= x 5/3 - x 2/3

A: We have to differentiate the function: y=x53-x23 We know the formula of differentiation: dxndx=nxn-1…

Q: The total daily cost (in dollars) of manufacturing scented candles is given by the function C(b) =…

A: Given, Total daily cost C(b) = 250 + 3b, where b is the number of candles manufactured. To Find…

Q: Differentiate the function ƒ(x)=(1+2·x)^5

A: ƒ(x)=(1+2·x)^5

Q: hat is the slope of the function f(x) =6x3 -7x +4 when x=1?

A: The function is given as f(x) =6x3 -7x +4

Q: Differentiate the function. y = 2(5 - x)3(6x - 1)

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: (f.g)(-2) is

A: Given: The functions are, f(x) = - 2x , g(x) = x+7 and h(x) =1x-5 .

Q: f (x) = 55x34x²

A:

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: Find the value of the function f(-x)=?

A:

Q: The average cost to produce x video games is given by the function c=50/x+6. What is the average…

A:

Q: A store charges 1.50 for a 20-oz bottle of sport drink. Which equation best represents the total…

A:

Q: Differentiate the function.

A:

Q: A monthly cell phone charge is $45. Each long-distance minute used costs $0.30. The total monthly…

A:

Q: The revenue for a manufacturer of compute printers is given by the equation R= x(30-0.4x), where…

A: Given: The revenue for a manufacturer of computer printers is given by the equation R= x(30-0.4x),…

Q: The cost of a new television is $948. If the value of the television decreases by 4.5% every year,…

A: The exponential decay function is given by y=a1-r100t where a = initial value r = rate of decay t =…

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: Find the interval where the function, 음자고-3지 5 2 7 x + 12 is increasing?

A:

Q: The Circuit Gilles Villeneuve racetrack in Montreal is 4.361 km long. The Canadian Grand Prix…

A: We use distance,time and speed relation.

Q: What does it mean to find the zero of a function?

A: Given :  Zero of a function

Q: For function, find the point in the graph at which the tangent line has slope 9 Y= -0.025x^2+6x What…

A: The given function is:Y=-0.025x2+6xThe slope is 9

Q: Suppose the weekly cost for the production and sale of bicycles is C(x) = 16x +4149 dollars and that…

A: Use formula

Q: Dana is filling a 1.5 gallon watering can at a rate of 0.75 gallon per minute. What is the domain of…

A: Solution of above question is written in below step.

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: A cashier earns $7 an hour. If x is the number of hours worked, which function represents the…

A: Earning of cashier per hour = $7Number of hours he worked = x hoursLet total amount earned = $y

Q: Optimize the function 81x2+y2 subject to 4x2+y2=9

A: here we Optimize the function 81x2+y2 subject to 4x2+y2=9  F(x,y)= 81x2+y2  g(x,y) = 4x2+y2=9

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

A:

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

A:

Q: How doe you solve a function such as "43x-5=71-x"?

A:

Q: A smart phone manufacturer is able to produce 500 amount of phone a day. If the profit for daily…

A:

Q: Find the point of inflection of the graph of the function. f(x) = 2 – 7x4

A: Consider the given function y=fx=2-7x4 First, find the first derivative of the function…

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

A: Given,y=2xsinx-x2cosx