It takes Josephine 34 minutes to complete her homework assignment of 10 problems. If we assume that she works at a constant rate, we can describe the situation using a function. Predict how many problems Josephine can complete in 25 minutes?

Q: Graph the equation f(x) = 2. If you are stuck, make a table of valu 5+ 4 3- -5 -4 -3 -2 -1 2 3 4 5…

A: We have to sketch the graph the equation  f(x) = 2

Q: In economic theory, we let x represent the number of items (called demand) a supplier will produce…

A:

Q: 3. Write the equation of the function graphed below. S(x) = 1,

A: The solution of the given problem is given below. Which is easily infered from the graph.

Q: Suppose the annual profit for a store was modeled by the function :                 P(x) = - 0.2x3…

A: Given:               The annual profit for a store was modeled by the function :…

Q: Given a function Described as the equation y=4x-4, what is y when x is 1,2, and 3?

A: The given function describes as equation is given by y=4x-4 to find the value of y when x=1,2 and 3…

Q: Write an equation for the function graphed below 5+ 4 3. 2- -7 6 5 4 3 4 -1 -2 -3 -4 y =

A:

Q: The​ price-demand equation for hamburgers at a fast food restaurant is given by the equation below.…

A: Given that x+60p=3500 We have to find affected revenue.

Q: Suppose you spent $38.25 for 3 shirts that each cost the same amount. If the cost of the shirts…

A: Answer is mentioned below

Q: What information do you need in order to write the equation of a function that could model the…

A: 1. Gymnast's distance from the trampoline as they jump can be modelled by a Polynomial of order 4.…

Q: Why should the definitions of increasing and decreasing functions must be satisfied by every pair of…

A:

Q: Despite booming new car sales with their cha-ching sounds, the average age of vehicles on U.S. roads…

A: Let's assume the average car price would be $46,350 after t years from 2014. Since the new car…

Q: After 8:00 pm, a ride in a cab cost P25.00 plus P3.00 for every fifth of a kilometer traveled. If a…

A: After 8:00 pm, a ride in a cab cost P25.00 plus P3.00 for every fifth of a kilometer traveled. If a…

Q: Create a table to represent the amount of money that Khalil has earned for babysitting as a function…

A:

Q: A farmer finds that if she plants 80 trees per acre, each tree will yield 75 bushels of fruit. She…

A: A farmer finds that if she plants 80 trees per acre, each tree will yield 75 bushels of fruit. She…

Q: 1. Determine if the equation x? +y° = 4 is a function.

A:

Q: How many x-intercepts can the graph of a function have? How many y-intercepts can the graph of a…

A: A graph of function can have infinitely many x-intercepts. For example: Sine function and cosine…

Q: Based on market data, a shoe company estimates that the relationship between the price, p, of a pair…

A:

Q: A math camp instructor estimates that students will take 3 hours to complete the first assignment of…

A: Student takes 3 hours to complete 1st assignment . Next he takes 5% less time for the second…

Q: A quarter falls off a building that is 144 feet tall. If the equation for height as a function of…

A: A quarter falls of a building that is 144 feet tall.The equation for height as a function of time is…

Q: Write a relationship for a function whose f(x) values are 2 less than three times the square of x.

A: we have to write a relationship for a function whose f(x) values are 2 less than three times the…

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: In your own words, explain how you would graph the following functions. 2х - 3, x< 0 h(x) = x² – 4x…

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Q: A group of 6 students is surveying their classmates to get feedback about the different clubs…

A:

Q: A store owner estimates that by charging x dollars each for a certain lamp, he can sell 40 – x lamps…

A: Given  number of lamps sell each week by charging x dollars each = 40-x

Q: Prepare a table of three solutions for the following function. 2 y=및-2 3

A: We have given the function

Q: 2. Diana Nyad was the first person to swim from Cuba to the Florida Straits without a shark cage, a…

A: Given: Diana Nyad completed a 110-mile journey. a. As she took 1.9 miles per hour to complete this…

Q: • What equation represents the amount if hay, y, she will have left after x days? • Is there another…

A: Consider the given graph. As, the line of the graph start from the  point (0,10) and ends on the…

Q: Write an equation for the function graphed below 5- 4. 3 . 2 - -3 -1 -1 1 2 4 -2 - -3 - -4 -5+ y =

A:

Q: A banquet hall charges $975 to rent a reception room, plus $39.95 per person. Next month, however,…

A: Given that, the banquet hall charges $975 to rent a reception room, plus $39.95 per person. Let the…

Q: two joggers set out the same time from their homes 24 miles apart. they agreed to meet at a point…

A: Given:- Two joggers set out the same time from their homes 24 miles apart.  they meet at a point in…

Q: 2. When doctors prescribe medicine, they must consider how much the drug's effectiveness will…

A:

Q: Alba invested $20,000 and earned 8% annual interest on her investment. Write an equation that models…

A:

Q: Your professor has written down a pdf for you to work with, but unfortunately she has spilled tea on…

A:

Q: @ function examine the

A: Given that, the function is F(x)=xe1x-2. Note that, the function defined for all vales of x except…

Q: Which could be the domain of this function?

A: Given that : A group of 6 students is surveying their classmates to get feedback about the different…

Q: Find the relative rate of change if f(x)= 10 – 3e-4. %3D |

A: Given,           The relative rate of change of f(x)=10-3e-4xWe know that that,         The relative…

Q: Given a function described as the equation y=4x-4, what is y when x is 1, 2, and 3?

A: Using given function,

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: Find the range of values of x if the cost of production is always more than x thousand dollars.

A: The cost function is a polynomial. So, the domain is [0,∞) When n=0,…

Q: 2. Jason opened a savings account with Php550 initial deposit. Each month after he pays his bills,…

A: Initial deposit =500 Deposit in each month =300

Q: The manager of a local hotel knows that on holiday weekends if they charge $112 per room they will…

A: Given data:     The given charge for 100 numbers of rooms in the hotel is: C1=$112. The number of…

Q: Write an equation for the function graphed below 3. 1 + + -7 -6 -5.-4 -3 -2 -1 -1 3 4 5 6 -2 - -3…

A:

Q: Write an equation for the function graphed below 5 4 2 1 - + + -7 -6 -5 -4 -3 -2 -1 1 2 4 5 6 7 -2…

A: From the given figure, the vertical asymptotes are x=-3 and x=3, horizontal asymptote is y=-1 and…

Q: In planning a restaurant, it is estimated that a daily profit of $6 per seat will be made if the…

A: Let x be the number of seats that is beyond 50 seats, Then the daily profit per seat is decreased by…

Q: In a food canned factory, the relationship between the production A(d) in kg and the time in days…

A: Here we use natural logarithm to find the solution.

Q: A banquet hall charges $975 to rent a reception room, plus $39.95 per person. Next month, however,…

A: Suppose cost of an article is $x and after offering y% of discount, the discounted cost will be $x-x…

Q: Write an equation for a linear function whose graph has the given characteristics. Passes through…

A: Given query is to find equation of the line.

Q: Find the relative rate of change if f(x) = 10 - 3e-42. |

A:

Q: Jason opened a savings account with Php550 initial deposit. Each month after he pays his bills, he…

A: Given that Jason opened a savings account with Php550 initial deposit. Each month after he pays…

Q: In a food canned factory,the relationship between the production A(d)in KG and the time in days (d)…

A: The given function for the production in kg is defined as follows-  A(d) = 15(2+9)d2⇒ A(d) =…

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.