Quadratic equations Questions and Answers

1 27 is equal to Select one O a 1 3 O b 3 OC 3 O d 3

Which is true of equations with three variables Select one O a The values for all three variables may be found using only two of th equations O b Substitution and elimination are the main tools for solving them O c They may be solved by plotting lines on a graph O d None of the variables may have the same value

Use the equations below to help you answer the question A 2X Y 4Z 5 B X 3Y 2Z 8 C 3X 3Y Z 9 What is the value of X that satisfies all three equations Select one O a 1 O b 1 O C 3 d 5

In order to solve for three variables the minimum number of equations needed is Select one O a one O b two O c four O d three

What is the value of sin 5 6 cos 3 is Hint use the unit circle Select one O a 1 O b O C IT O d 3 2 2 3

Given the following matrices if possible determine AB Identify the dimensions of the resulting matrix and fill out the matrix it exists If not state Not Possible Answer 8 A 5 B 3 7 5 X Selecting the check box will replace the entered answer value s with the check box value Entering the dimensions of a matrix wi display any boxes necessary to create the matrix Keypad Keyboard Shortcut Not Possible

If you expand the binomial 9 25 what coefficient is in front of the j22 term

hat hat is the maximum number of covalent bonds that an oxygen atom with atomic number 8 can make with hydrogen O 4 0 1 O 6 02

If you expand the binomial 7 27 what coefficient is in front of the 24 term

One of the terms in the binomial b Tv is 21891876 v6 What are the values of T and n T n

The following table shows the crude steel production in the USA in millions of metric tons Year Crude Steel Production 1980 0 1991 11 1994 14 80 91 87 A Find a quadratic function f x ax bx c that fits the data where x represents the number of years after 1980 f x 0 167 x 2 833x 80 Round to three decimal places as needed B Use the function to predict the crude steel production in the year 2010 What will the crude steel production be in 2010 million metric tons Daund to the nearest integer as needed

If you expand the binomial 2p q 20 the 15th term in the expansion will be Npq What is the value of N What is the value of x What is the value of y

Watch help video 890 is invested in an account earning 7 3 interest APR compounded quarterly Write a function showing the value of the account after t years where the annual growth rate can be found from a constant in the function Round all coefficients in the function to four decimal places Also determine the percentage of growth per year APY to the nearest hundredth of a percent Function f t

7 The ratio of cats to dogs is 5 to 18 If there are 10 cats how many dogs are there

19 Michael and Alexandra left their home at 8 00 AM to drive to New York Michael drove at 55 mph and arrived at 5 00 p m Alexandra drove at 45 mph and arrived at the same place as Michael What time did Alexandra arrive

6 The atomic weight of sodium Na is 23 and that of chlorine CI is 35 What is the percentage of sodium in NaCl

20 I have 15 coins in my pocket They are all either dimes or quarters The value of the coins is 3 15 How many of each coin do I have

Find the solutions for each pair of equations Sketch a graph of each equation and show the solutions 13 Y X 2 Y X 2 14 x y 1 x y 1

The concentration of a drug in the body fluids is given by C Coe 0 8t where Co is the initial dosage and it is the time in hours elapsed after administering the dose If 30 mg of a drug is given how much time elapses until 9 mg of the drug remains Round your answer to two decimal places if necessary AnswerHow to enter your answer opens in new window 2 Points hours Keypad Keyboard Shortcuts

R The menu developers for a chain of coffee shops have conducted experiments to see how long customers take to make a drink choice based on the number of drinks on the menu Normalizing so that the average time needed to make a choice given just 2 drinks is 1 time unit the average times needed to make a choice given x drinks on the menu are shown in the table below ev Number of drinks x 2 3 4 5 6 7 Answer 2 Points Average time to make a choice f x 1 1 5 1 9 2 3 2 4 2 5 Copy Data Step 2 of 2 Use the logarithmic function from the previous step to estimate the average time to make a choice with 8 drinks on the menu Round your answer to one decimal place Keypad

Consider the following piecewise defined function 2 X 2 Answer 2 Points f x 2 if x 3 if 3 x 3 if x 3 Step 3 of 3 Evaluate this function at x 7 Write the exact answer Do not round If the answer is undefined write Und as your answer Keypad Keyboard Shortcuts

Find c if a 2 42 mi b 3 1 mi and ZC 41 5 degrees Enter c rounded to 3 decimal places C mi Assume A is opposite side a ZB is opposite side b and ZC is opposite side c Video

4 points Lesson 7 Here are pairs of equivalent expressions in standard form and factored form Find the missing symbols and numbers 1 2 16x 2 2 16x 3 x 3x 28 and x 4 x 12x 28 and 2 17 and x 1 x 17 17 and x 1 x 17 x x

The speed S in meters per second of a tsunami depends on the depth d in meters of the ocean The function model for S d is S d 9 8d Write your answers using complete sentences Round answers to two decimal places as needed a Determine the speed of a tsunami when the ocean depth is 100 meters 2

Write the augmented matrix of the following system of equations 7x 6y 5 0 x 7y 7 0 What is the augmented matrix 7 6 7 5 7

equation of a circle which has 1 3 and 1 5 as end points of a diameter

24 Solve y 4y Sy mxe sin x m 3 cos x by the method of undetermined coefficients 10

Place each of the digits 1 2 5 7 8 9 in a different box to make this multiplication equation true 6 x 3 Show Transcribed Text I know the answer is 6918 x 3 20754

1x When the blue trapezoid is translated to the green one the new coordinates of the point 2 8 will be x x 4x 4x x A 4 0 B 8 0 O 8 4 D 4 8 2 8 E 0 8 6 8

OHaganBooks com were to give away its latest best seller A River Burns through It the demand q would be 110 000 books The marginal demand for the book is 22p at a price of p dolla dp a What is the demand function for this book dq 22 dp X b At what price in dollars does demand drop to zero 5000

Consider the following function Find f x f x X Find all singular points in the interior of the domain where f x is not defined Give the x coordinate of each point Enter your answers as a comma separated list If an answer does not exist ente f x X X 4 x 20 Find all stationary points in the interior of the domain where f x 0 Give the x coordinate each point Enter your answers as a comma separated list If an answer does not exist enter DNE X Find all distinct endpoints Give the x coordinate of each point Enter your answers as a comma separated list If an answer does not exist enter DNE Find the exact location of all the relative and absolute extrema of the function Order your answers from smallest to largest x at x y The function f has Select The function thao Orient at

For each equation below determine if the function is Udd 1 3 2 5 4 3 2 1 1 2 S 5432 5 NW 3 2 54321 2 3 4 S 54 2 2 2 3 4 4 1234 Select an answer Odd Even Neither Select an answer Select an answer

Graph s x x 10x 22 on the Cartesian plane to the right To graph the function you ll first have to plot the vertex high low point then any other point s x is increasing on the interval s s x is decreasing on the interval s s x has a maximum of s x has a minimum of The domain of s x is at x The range of s x is If any of the above do not exist enter DNE in the at x A 10 9 8 7 6 54 3 2 Clear All Draw 10 9 do t 8 7 665 3 5 4 2 23 4 5 6 7 8 9 TAV 6 7 8 9

Find all solutions of the equation x2 4x 24 0 by using the quadratic formula x

Find the inverse function of f x 8x 9 9 Specify the domain for f x f x Domain of f x using interval notation

Find the domain the function graphed below Express in interval notation 5 4 3 2 Domain 5 3 2 123 2 A 3 1 2 3 4 5

Question 22 Let f x x Find the equation of the function g whose graph is the following transformation of the graph of f horizontally scaled by a factor of 8 and translated down 2 units g x

1 you solve them 1 point Jose s teacher announces that the scores on their most recent Algebra test were normally distributed The mean score was 72 an When Jose receives his score he earned a 75 What percentage of students scored equal to or lower than Jose Type your answer

9 x y 30x 16y 288 0 10 x 22x 16y 149 0

1 x 3 y 4 9 3 x 4 y 4 42 AN 7 Center 9 16 Radius 2 2 H 2 x 1 4 4 x 3 y 1 16 11 Use the information provided to write the standard graphing form equation of each circle 5 Center 12 11 6 Center 0 14 Radius 3 Radius 1 8 Center 15 7 2 2 Radius 102 H

Which parent functions don t have any asymptotes Select all that apply Rational Linear Square Root Quadratic Cube Root Absolute Value Exponential Cubic

Write the equation of the circle with center 1 5 and radius 4 Write the center and radius of the circle with equation x 3 y 4 49 Write the vertex graphing form of the quadratic equation y x 8x 3

g z 3 1 O O O Show Hints 11 6 4 10 10 6 3 4 1 0 4 5 3 0 E 2 4 2 1 2 Ay 0 12 0 3 2 2 2 2 420 7 3 2 2 2 ty y 2 5 X X plotes and reference points

Show Hints followed by a translation 6 units right O a horizontal compression by a factor of O a horizontal compression by a factor of followed by a translation 6 units left O a horizontal stretch by a factor of 7 followed by a translation 42 units right O a horizontal compression by a factor of followed by a translation 42 units right

Wing transformations can you apply to the graph of f x to produce the graph of g x Show Hints O a translation up 7 units O a translation to the left 7 units a translation to the right 7 units O a translation down 7 units 7 Use a graphing calculator to verify the transformation

Consider the rational function z 5 2 11z 30 Part A What are the excluded values of the domain if any Select all the excluded values Show Hints 02 6 O z 0 no excluded values 0 x 5 Part B At the left most excluded value tell whether the type of break in the graph is a vertical asymptote a hole or if there were no exc Select the word s from the drop down list to correctly identify the type of break Show Hints

Which of the following graph g x 2 1 US O Show Hints O 41 O 4 1 0 1 2 01 12 L Ay 12 0 2 411315 4 2 1 4 2 0 2 0 2 4 y 4 2 2 2 4 2 y 0 0 0 ty 20 0 2 2 0 2 4 2 2 4 X

Wing transformations can you apply to the graph of f x Show Hints O a translation left 2 units and down 3 units O a translation right 3 units and down 2 units O a translation left 3 units and down 2 units a translation right 2 units and down 3 units to produce the graph of g x 2 3 Use a graphing calculator to verify the transformation

15 Directions For the scenario identify the key components create an exponential function then answer the questions The number of psychiatry papers published each year increases by 7 If 26 000 papers were published in the current year how many papers would be expected to be published in 5 years 7 years round to the nearest whole number a a b b c two answers X and x d Exponential Equation e Papers published after 5 years f Papers published after 7 years

Find the distance between the points 3 2 and 5 5 Round your answer to 2 decimal places Distance