Functions Questions and Answers

y 4 Find the output y when the input x is 4 y 8 Vrite the function s formula 6 6 8 9 A I 5 Nala is escaping from the dragon s lair She is running toward the entrance of the at a speed of 9 2 meters per second The entrance is 180 meters away The distance d between Nala and the entrance of the lair is a function of t the time seconds since Nala began running

For each of the following write a formula for the function g obtained when the graph of f is transformed as described 1 a The graph of f x is vertically compressed by a factor of 4 g x b The graph of f x g x then shifted to the right 7 units and down 8 units is horizontally stretched by a factor of 2 then shifted to the left 8 units and down 1 unit

Find the eigenfunctions and the equation that defines the eigenvalues for the given boundary value problem Use a CAS to approximate the first four eigenvalues A A2 A3 and A Round your answers to four decimal places y 2y 0 y 0 0 y 1 y 1 0 2 2 22 23 R 24 11 Give the eigenfunctions corresponding to these approximations Select the eigenfunction that satisfies y 0 1 Round all constants to four decimal places y x Y x Y3 x Y4 X

S S S S S S S 28 St 4s Which model does NOT show a actored form of 128 S d S S St 3s 4s 128 28 S 24 S 68 S S S S S 25 2 P 25 68 120 S ST 8 2 2 CL 8 4 12

2x 3 x 2 6 Which expression is equivalent 14x 42 14 x 3 14x 1 3

Which express represents the total area these three rectangles 8 2x 3y 4 8 2x 3y 4 4 5xy 8 4 8 2x 3y 2x xx CLEAR

6 3x 2 2 9x 6 Factor 18x12 completely 3 6x 4 6x 3x 2

Which choice shows both the orrect property of equality to expand 8x 3x 1 and the correct result THI e the Associative Property and then add to get 11x 1 se the Commutative Property to get 24x 8x Use the Distributive Property to get 24x 8x Use the Distributive Property to get 24x 1

What is the greatest common actor of the two terms in 24x 60x 120x 12x

Starting with the graph of f x 4 write the equation of the graph that results from a shifting f x 8 units right Y b reflecting f x about the x axis Y c shifting f x 2 units upward Y

An exponential function f x ab passes through the points 0 6 and 3 162 What are the values of a and b a b Questi

DEPT 106 EMPLOYEE CHECK Period Ending T Jones 537 1 1 2 1 GROSS PAY F I T S S 12 6 2 1 45 5 TAX DEDUCTIONS MedC State Local Medical Union Other 1 NET PAY Round to the nearest whole dollar For your answer do NOT include symbols commas words etc PERSONAL DEDUCTIONS 150 25 0

A triangular roadside channel has side slopes of 3 1 H V and a longitudinal slope of 0 01 Determine the flow rate in the concrete channel n 0 013 if uniform flow is assumed when the top width of the flowing water is 1 65 meters

The population P t of a culture of the bacterium Pseudomonas aeruginosa is given by P t 1718t 82 000t 10 000 where t is the time in hours since the culture was started c What is the y intercept and explain the meaning in the context of the problem 6 points Format V BI UV U A E E y intercept write your answer as an ordered pair V CH v

3 The function D t after its injection 100t t 1 models the concentration of medication in the bloodstream in mg t hours a Does the graph of the function have a vertical asymptote If so give the equation of the vertical asymptote If the function does not have a vertical asymptote explain why 5 points b What is the domain of the function in question in the context of the problem 5 points c Find the equation of the horizontal asymptote What does it mean in the context of the problem 6 points d Does the function cross the horizontal asymptote If so give the coordinates of where it crosses Does it make sense in relation to this problem 4 points

The expected value for the following probability distribution is 0 25 Solve for x Outcome value Probability 0 32 0 15 0 27 0 26 02 15 48 4 1

Davis is playing a new video game To get to the next level he must successfully pass through two doors The chance that the blue door is open is 0 49 The chance that the green door is open is 0 55 T probability that both doors are open is 0 24 Create a Venn Diagram and determine the probability that Both doors are open 24 Only the blue door is open 25 Only the green door is open 31 Neither door is open 20

Luis is playing a paint ball game To win he must capture the flag and choose the correct escape route The chance that he captures the flag is 62 The chance that he chooses the correct escape route is 68 The probability that he does both is 41 Create a Venn Diagram and determine the probability that He captures the flag and chooses the correct route He only captures the flag He only chooses the correct route He doesn t complete either task

A landscaper mows 25 lawns per day on sunny days 15 lawns per day on cloudy days and no lawns if it rains If the weather is sunny 65 of the time cloudy 30 of the time and rains 5 of the time find the expected number of lawns that the landscaper mows per day 23 lawns 17 lawns O19 lawns 21 lawns

A high school basketball player has a 62 chance of making a free throw show and an 86 chance of making a lay up Draw a tree diagram and determine the probability of making a free throw and then missing the lay up 0 0868 0 14 0 53 0 76 K

What is the GCF of 56 and 42 ne GCF of 56 and 42 is

What is the GCF of 60 and 16 GCF of 60 and 16 is

118 and 21 Two numbers are between 10 and 20 Their greatest common factors 3 Which two numbers could they be 12 and 16 15 and 18

nts DETAILS equation for the ellipse whose graph is shown y 6 10 7

Sp23 ts DETAILS W Assignment 12 the equation with the graph 12y x 0 2 1 1 2 1 2 4 5 Launch Meeting 5 4 1 Homepage N ic M Speech 6 Subr 5 4 3 2 51 y 51 4 2 3

1 You are given f x 5x 10x 5 a b Express the function in factored form and determine the vertex Identify the zeros the axis of symmetry and the direction of openin c State the domain and range d Graph the function

2 For each function state whether it will have a maximum or a minimum value Describe the method you would choose to calculate the maximum or minimum value a f x 2x 8x 3 b f x 3 x 1 x 5

X to roundoff error or you could have a mistake in your calculation Carry out all inter X to roundoff error or you could have a mistake in your calculation Carry out all inter

Given u 15 cos 45 sin45 what are the magnitude and direction of 5u O 75 225 75 135 O 75 135 O 75 45

A soccer ball is kicked across a field at an angle of 60 with an in Write a set of parametric equations for the motion of the soccer degree symbols but the angles are in degrees O 69 sin 60 t y 16t 69 cos 60 t x 60 cos 69 t y 16t 60 sin 69 t x 69 cos 60 t y 16t 69 sin 60 t 00

f x 0 1x x 6 4x 10 Question 3 2 points Part A Identify the key features for the function above Key features include x and

4 1 Homework K Members of a music club table below shows the res Number of Votes

Complete this quiz to fi What is the approxim height of 42 inches

Determine the load in members AC and BC shown in Figure A 6 m B 8m FIGURE 9 100 kg

When viewed from above a worker slides a cabinet by applyi the forces shown in Figure 6 Determine the moment about corner A 34 N 15 50 N 8 1m FIGURE 6 2 m A

Determine angles a b and c shown in the Figure 1 40 a FIGURE 1

There are 48 students in an elementary statistics class On the basis of years of experience the instructor knows that the time needed to grade a randomly chosen first examination paper is a rando variable with an expected value of 5 min and a standard deviation of 4 min Round your answers to four decimal places LAUSE SALT a If grading times are independent and the instructor begins grading at 6 50 P M and grades continuously what is the approximate probability that he is through grading before the 11 00 PM TV news begins b If the sports report begins at 11 10 what is the probability that he misses part of the report if he waits until grading is done before turning on the TV You may need to use the appropriate table in the Appendix of Tables to answer this question

of 30 1 point Question Attempt 1 19 20 he triangle below 21

Simplify the expression by using a double angle formula 2 tan 1 TC 11 1 tan T 11 8

ts DETAILS equation for the hyperbola whose graph is shown F 6 0 10 5 y 10 5 0 5 5 F2 6 0 10 X

Need Help 4 Points Read It DETAILS 7 6 5

O Homepage Northland 45 171 Points W Assignment 12 Conic DETAILS A graphing calculator is recommended 15 Use a graphing device to graph the conic 7x 24 y 21x 4y 5 y 15 10 5 10 15 H M Speech 5 Submit Outl X 10

2 2 Problem 9 8 1 10 For the matrix A 2 4 4 find an orthogonal matrix S and a diagonal matrix D 42 4 such that S AS D Do not use technology

1 Dr Wittgenstein is researching the time it takes for people to fall asleep at night In his lab he records the time it takes each of his subjects to fall asleep in minutos and compiles the data set shown below 22 8 19 14 25 95 32 7 14 20 18 10 22 17 27 16 Identify the following Min 0 2 Max Median IQR Mean Range

Select the correct term for the symbol below Saved standard score population standard deviation raw score significance level 2

Select the correct term for the symbol below sample standard deviation population size sample size population mean S

Select the correct term for the symbol below margin or error population size population proportion sample proportion P

Debra is on the swim team Each d the facts to find how much this is in

In a writing course the professor surveyed the st for two of the genres All students surveyed Like tragedy Tom Greg Bob Like horror Laura Yoko Debra lang

There are 54 marbles in a blue jar T a Write an equation that relate Use 54 n and 6 X 0 0