Functions Questions and Answers

Trevor purchases a car The value of the car is modeled by the function y 22000 0 86 Which statement below best describes the value the base 0 86 O The car that Trevor purchased appreciates at a rate of 14 O The car Trevor purchased depreciates at a rate of 86 The car Trevor purchased depreciates at a rate of 14 O The car that Trevor purchased appreciates at a rate of 86

In circle B with m ABC 36 and AB 3 units find the length of arc AC Round to the nearest hundredth A C B

Determine how many one to one correspondences are possible between two sets n s z w v and 1 2 3 4 5 given the following conditions a If in each correspondence n must match with 3 b If in each correspondence n must match with 3 and s must match with 5 c If in each correspondence n s and z must match with an odd number a There are possible one to one correspondences between the sets if n must match with 3

26 The Warm Hearts for Winter Charity Club wants to organize a fund raising dinner to help pay for warm clothes for the needy The cost of renting a facility is 300 plus 5 per chair where x represents the number of people attending the fundraiser The committee wants to charge attendees 35 each Write an equation for the cost of the fundraiser Write an equation for the revenue of the fundraiser Write an equation for the profit from the attendees How many people need to attend the fund raiser for the event to raise 1 500

On a certain senate subcommittee there are five senators Allen Beau Chloe Dean and Ellen Three of these members are to be appointed to a subcommittee How many possible subcommittees are there There will be possible subcommittees

Practice score 0 7 0 7 answered Question 6 Use synthetic division to divide a 4x 4x 2 by z 1 1 The quotient is The remainder is 4 2 Question Help Video Message instructor Submit Question

5 4 Graded Homework Practice score 0 7 0 7 answered Question 1 Find the quotient and remainder using synthetic division for The quotient is The remainder is Question Help Video 1 Video 2 Message instructor Submit Question 72 11z 8 2

ditional Probability Hudson has 12 marbles as shown in the diagram below Each marble is either blue or white In addition each marble is labeled with a number between 1 and 5 3 1 2 5 3 1 Hudson chooses one of the marbles at random Determine the following probabilities Enter your probabilites as fractions and simplify any fractions as needed What is the probability that Hudson will choose a blue marble given that the marble is even What is the probability that Hudson will choose a odd marble given that the marble is white

Find the number of distinguishable permutations of the given letters AABBCC Your answer is

Evaluate the expression P 16 3 equivalently 16 P Your answer is

Julian buys a bag of cookies that contains 6 chocolate chip cookies 6 peanut butter cookies 9 sugar cookies and 9 oatmeal raisin cookies What is the probability that Julian randomly selects an oatmeal raisin cookie from the bag eats it then randomly selects another oatmeal raisin cookie Express your answer as a reduced fraction

Felipe buys a bag of cookies that contains 7 chocolate chip cookies 6 peanut butter cookies 9 sugar cookies and 4 oatmeal cookies What is the probability that Felipe reaches in the bag and randomly selects a peanut butter cookie from the bag eats it then reaches back in the bag and randomly selects a chocolate chip cookie Give your answer as a fraction or accurate to at least A decimal places

A test was given to a group of students The grades and gender are summarized below A B Male 8 18 C Total 17 12 10 Total 28 30 27 Female 20 43 42 85 If one student is chosen at random from those who took the test Find the probability that the student was male GIVEN they got a B

Use a technique of integration or a substitution to find an explicit solution of the given differential equation dy x dx y y dx y x x

If CD DE 88 CF s 54 and EF E CE F D C 3s what is CE

Question 9 7 6 5 4 3 2 1 Write an equation for the function graphed below 5 4 5 2 y 564 3 4 5 Q 0 1

Question 6 y Write an equation for a rational function with Vertical asymptotes at x 1 and x 6 x intercepts at x 4 and x 3 y intercept at 3 Question Help Video Message instructor Submit Question

Question 7 y Write an equation for a rational function with Vertical asymptotes at x 3 and x 4 x intercepts at x 4 and x 5 Horizontal asymptote at y 10 Question Help Message instructor

Exercise 4 4 2 Following the discussion and example 4 2 2 from class find the matrix R VA W R3 which sends the 2 1 basis v 1 2 0 O is quite long 1 cr 1 V3 0 CV to the basis w 0 W3 0 CV This exercise 0

uired ermine the costs assigned to the December 31 ending inventory based on the FIFO method Date ember 7 ember 14 1 December 14 ember 15 1 December 15 ember 21 Goods Purchased Cost Per Unit of Units Goods Purchased Perpetual FIFO of Units Sold Cost of Goods Sold Cost Per Cost of Goods Unit Sold Inventory Balance Cost Per Unit of Units Inventory Balance

Find the derivative of each function

Convert a speed of 685 mi h to units of feet per minute Also show the unit analysis by dragging components into the unit factor slots 685 mi 1h 60 s 5280 ft 1 mi Answer Bank 12 in 60 b 18 60 min 3 f 1 min Incorrect

a a speech delivered by one character b language used that is not literal c one line delivered by a character d a comparison using like or as 2 The metaphor is a an image that stands out in the reader s mind b Hints or suggestions about future events c A figurative stated comparison of two different things d A happy mood is produced 3 A soliloquy is used by the author to a give other characters on stage insight into the character s motives b have characters engage in a dialogue with each other c give the audience deep insight into the character s true feelings d Keep the audience interested in the character 4 A tragic flaw is a A trait or quality that leads to the protagonist s downfall b Traits an audience likes and admires c When the main character dies at the end

The loudness L measured in decibels Db of a sound intensity measured in watts per square meter is defined a L 1010g where fo 10 12 and is the least intense sound a human ear can hear Jessica is listening to soft music a sound intensity level of 10 9 on her computer while she does her homework Braylee is completing her homework while listening to very loud music at a sound intensity level of 10 3 on her headphones How many times louder is Braylee s music than Jessica s 1 3 times louder 3 times louder O 30 times louder O90 times louder

2 Find the derivative of each function Perform reasonable simplifications a s t 5t sect 8t

3 Suppose we are given the following table of values for r x q x r x and q x 6 7 2 8 4 8 5 5 0 9 X r x q x r x q x 0 9 5 10 8 1 1 1 2 5 2 0 5 6 a If f x q x x 3 7 6 10 2 evaluate f 3 4 3 9 9 7 5 1 3 7 9 8 5 3 5 2

A quadratic function fis given f x 3x 2x 4 a Express fin standard form f x 3x 2x 4 x answer does no

Score on last try 0 of 1 pts Next question Write an equation for the degree four polynomial graphed below 5 4 5 4 3 2 3 2 1 1 45 5 Get a similar question 2 3 4 5 y x x 7x x 6 3 X Question Help Message instructor X OF

Question 14 Write an equation for the polynomial graphed below 5 4 y x 3 2 1 5 4 3 2 1 1 2 3 4 5 1 2 3 4 5 la

Score on last try 0 of 1 pts See Details for more Get a similar question 5 Next question Write an equation for the polynomial graphed below 6 5 4 4 3 2 3 2 1 1 2 4 5 6 2 3 4 5 y x 5 x 2 x 1 x 1 x 3 x 9 Question Help Video Message instructor You can re

Check all that apply Rational Number Whole Number Natural Number

Rational Irrational Integer Whole Number Natural Number 0

Find an expression for the blue shaded region and simplify it completely Notes 1 Make sure the problem window is large enough to read all the dimensions especially on the left and right 2 The figure is not necessarily to scale x 5 x 6 2 4 x 2

1 Mia has a chocolate bar split into 24 equal parts Mia wants to split the chocolate bar amongst her and two of her friends How many pieces of cholate will Mia get to eat if they split it evenly 2 What fraction of the chocolate bar will Mia get to eat ill Min got to at

B fix C D The par value is 1000 or 100 of par The yield to maturity is 8 E The bond pays a coupon rate of 6 5 and pays interest semi an The settlement date is 5 05 2021 The bond matures on 5 15 2045 Coupon rate F Calculate the today s price using the PRICE function as a of pa Calculate the modified duration of the bond cell E24

Find the derivative of f x sec r ln x f x Note that the system does not like sin x notation Instead you must input as sin z if ne

Using the graph determine any relative maxima or minima of the function and the intervals on which the function is increasing or decreasing f x 1 25 to x 5 X 5 Using the graph determine any relative maxima Select the correct choice below and if necessary fill in the answer box to complete your choice 1 667 5 926 10 8 64 10 B 15 0 no

Let S be the plane 2x z 4 0 and S2 be the paraboloid z 4 x 2y a Set up the integral for the volume of the solid region above the plane S and below the paraboloid S2 b Evaluate the integral from part b Hint use the change of variables x 1 rcos y rsin

Question 6 Graph y 6 7 LAS 3 ON muy Bed N La G T 1 King 2 Kly 4 5

Question 8 Graph y 1 5 4 3 2 2 1 Clear All Draw 3 4 3 2 my 1 1 2 3 4 1 2

In circle D DE 9 and m EDF 160 Find the length of EF Express your answer as a fraction times 7 F D E

y 4 1 2 x 5 e Exponential function Plea no spaces between terms r answer

15 mm Question 12 Points 3 Sheila bought a new carpet The length of the carpet is 15 m What is the length of the carpet in millimeter 150 mm 0 015 mm my 15000 mm 190 me what you want to do Q

Find the measure of each marked angle to 1900 11 x 40 2110 O O 0 to x 40 200 3x

A pulley rotates through 94 in one minute How many rotations does the pulley make in an hour The pulley makes rotations per hour Simplify your answer Round to the nearest whole number

Find the angle of least positive measure in degrees not equal to the given measure that is coterminal with the given angle 123 40 The angle of least positive measure coterminal with 123 40 is

Perform the calculation 59 6 72 48 59 6 72 48 Simplify your answers Type an integer or a fractio

For each graph below state whether it represents a function Graph 1 Function Function fo Yes O No Graph 4 Yes ONO Graph 2 8G 4 O Yes O Yes 8 6 ONO Graph 5 O No 3 Graph 3 OYes Yes y Graph 6 143 ONO ONO G

The graph of a function fis shown below Find 2 and find one value of a for which x 4 V 0 One value of x for which 0

The graph of the relation His shown below Give the domain and range of H Write your answers using set notation domain P range DE