Matrices & Determinants Questions and Answers

Systems of Equations Question 3 5 2 11 Select the correct choice below and fill in any answer boxes within your choice Solve the system If there is no solution or if there are infinitely many solutions and the system s equations are dependent so state 2x 6y 4z 14 x 2y z 0 6x y z 7 OA There is one solution The solution set is Simplify your answers OB There are infinitely many solutions OC There is no solution HW Score 0 O Points 0 of 3 FOLLO

Wait Interval min 120 100 80 60 40 20 0 0 Old Faithful Geyser Wait Time minutes 1 y 12 643x 32 036 minutes 2 3 4 Duration of Previous Eruption min The regression equation for the scatterplot is y 12 643x 32 036 which is a linear model We can use this equationto predict and problem solve If the previous eruption was 3 15 minutes long how long should we expect to wait until the next eruption 5 If we ve been waiting 60 minutes between eruptions how long was the previous eruption

Question 10 of 11 Step 1 of 1 8 13 Correct Find the equation in slope intercept form of the line passing through the points with the given coordinates 3 0 4 4 Answer

4 Estimate the values to complete the table adjacent leg hypotenuse 0 31 opposite leg hypotenuse 0 95 angle A opposite leg adjacent leg 3 1 B

Two angles are complementary if the sum of their measures is 90 Find two complementary angles such that one of the angles is 275 less than 4 times the other angle Round to two decimal places if necessary Answer How to enter your answer opens in new window the smaller complementary angle Keypad Keyboard Shortcuts

Write the system of equations as an augmented matrix 46 4z 4 26 5z 12 316

Hint Write each element in the matrix into the place of the coefficients in front of the variables 3 Write the augmented matrix as a system of equations 2 2 I I I 8 I y Y Y Z z 2 Question Help Post to forum 5 4 3001 3 3 250 3 4 200

Part Graph the following equations y x 1 1x y x 5 d y 2 x

Determine the radian measure of the given angle NOTE Enter the exact answer 300 radians

Find cond A and cond A 1 1 1 6 6 7 1 0 0 A cond A

Which of the following choices is a solution of 2 2i x 3 i x 0 4 8i x1 8 6i x2 0 for any value of the variable t 2 X2 O a O b O c O d 5 2 t 521 t 4 2i 521 t 4 2i 5 44 2i t

2 A biologist took a count of the number of migrating waterfowl at a particular lake and recounted the lake s population of waterfowl on each of the next six weeks 0 1 2 6 Week 3 4 5 Population 585 582 629 726 873 1 070 1 317 Find a quadratic function that models the data as a function of x the number of week and then use the model to estimate the number of waterfowl at the lake on week 8 2 A P x 25x28x 585 1 614 waterfowl B P x 30x 28x 535 2 679 waterfowl C P x 25x 28x 585 1 961 waterfowl D P x 30x 28x 535 2 201 waterfowl 3 A webmaster collected data about the number of hits a YouTube video received during a 6 day period The table shows the data where x is the day and y is the number of hits in thousands A y x 1 B y 6x 1 c y 2 D y x 1 X 0 I 2 3 4 5 6 y 1 2 19 25 37 Which equation best models the data in the table 69

TB MC Qu 12 67 Algo On January 1 Year 2 the balance of Jacobs On January 1 Year 2 the balance of Jacobs Corporation s Accounts Receivable was 36 000 Sales on account for Year 2 amounted to 192 000 and the ending balance of Accounts Receivable was 56 000 What is the amount of cash collected from customers Multiple Choice 228 000 136 000 212 000 2 000

Which statistic would indicate that a linear function would not be a good fit to model a data set Explain your answer 1 r 0 93 2 r 1 3 0 6 0 4 0 2 0 0 2 0 4 0 6 12 4 mod 12

E x E 5 Mr Evans put 300 pounds of yard x waste in the back of his pickup truck to take it to the composting facility When the pickup was loaded with this yard waste the rear bumper was 14 inches from the ground y On the way home from the composting facility he stopped at Concrete Industries to buy some gravel With 600 pounds of gravel x in the back the rear bumper was 11 inches off the ground y a Write 2 ordered pairs b Find the slope of the line between the two points

ces TB TF Qu 12 136 Static Goodloe Corporation s credit sales Goodloe Corporation s credit sales for Year 1 were 500 000 and the balance in its accounts receivable increased by 26 000 during the year In Year 1 Goodloe collected 526 000 in cash from its customers True or False True False

Question 8 Solve the equation for the given variable If your answer is a fraction write it in reduced fractional form Do NOT convert the answer to a decimal w 3 4 2 Answer w w 6 2

10 Chun and Mali Tung bought a house for 135 980 They made a 30 000 down payment Their annual expenses were mortgage interest of 7 540 depreciation of 2 5 of the purchase price of the house and taxes repairs and insurance of 10 380 They rented the house for 1 850 per month

ces TB MC Qu 12 78 Algo For the year ended December 31 Year 1 Flelds For the year ended December 31 Year 1 Fields Company made cash payments of 60 900 for dividends paid interest of 29 700 paid 38 900 cash to suppliers and purchased equipment for 76 900 cash What is the net cash used by Investing activities for Year 1 Multiple Choice 29 700 137 800 167 500

s Bristol Corporation reported a beginning balance of 6 200 in accounts receivable During the year sales on account totaled 49 600 If the ending balance of accounts receivable amounts to 25 000 what was the amount of cash received from customers Multiple Choice 25 000 24 600

Find the eigenvalues and eigenvectors for A The eigenvalue a bi 107 7 has an eigenvector

6 List three types of galaxy Which type of galaxy do you live in

Ive each equation State any 1 4m 6 m 2 3m 2 9m 30 2m 2

Solve the given problem related to compound interest Find the balance if 6500 is invested at an annual interest rate of 6 5 compounded annually after the following number of years Round your answers to the nearest cent 0 5 years S b 12 years

Use Gauss Jordan row reduction to solve the given system of equations If there is no solution enter NO SOLUTION If the system is dependent express your answer saing the parameters and or z XX x 2y z 04 xy 22 0 2x 2 9

MINNE Simplify X 1 Select one O a 3X 3 2X O b 3X 1 2X 6 O C X X O d 6 2X

Solve the system using Gaussian elimination or Gauss Jordan elimination 2 x 2z 3y x 30 x 2y 2z 3 5x 2y 6z 41

Multiply and simplify x 3 2x 4

A system of equations was written as an augmented which was row reduced to 1 0 0 57 010 4 0 0 1 3 What is the solution to the original system of equations x y Z

Write the system of equations as an augmented matrix x 6y 4z 4 4x y 2x 5 3x 6y 5z 4 Question

Write the augmented matrix as a system of equations 1 2 300 0 15 4 27 400 5 1 9 100 X x x y Y Y 2 2 2 Question Help Video Message instructor

X y z 5y 2z 15y 6z 8 1 6 O Exactly one solution O Infinite solutions No solution

Which of the following statements is true A B 100 A 0 1 5 is in reduced row echelon form and nonsingular 001 12 9 A 0 2 0 0 8 1 is in row echelon form and nonsingular 2 3 4 A 1 7 6 is invertible and det A 1 4 6 8 1 5 4 D The linear system Ax b has a unique solution where A 1 2 4 3 7

Find a basis B for the span of the given vectors 01 B 1 51 1 0 4191 0 1 4 1 Ol

Use a horizontal format Simplify your answer completely 8x 2 6x 8 6x 3 6x 2 7

1 Let A 1 this information to diagonalize A Then find a formula for Ak 3 12 21 2 7 9 1 V 9 and V If v and v are eigenvectors of A use

Number of voters 7 20 16 E B D D B C A E B 1st choice 2nd choice 3rd choice 4th choice 5th choice PCAE Points for candidate A Points for candidate B Points for candidate C Points for candidate D Points for candidate E DEACE 22 14 A ZUBAED C UDBW C E 10 OEABCD Find the points for each candidate and the winner using the Borda Count Use the count that assigns 1 point to tast place The winner is If there is a tie enter a list separated by commas of all the candidates with the highest point total

A radio tower has a 16 foot shadow cast by the sun If the angle from the tip of the shadow to the top of the tower is 77 what is the height of the radio your solution to four decimal places Answer Keypa Keyboard Short

Find the measure of ZRQS in the figure P 490 R 34 Q 49 S

On September 1 Year 1 Gomez Company collected 23 100 in advance from a customer for services to be provided over a one year period beginning on that date How much revenue would Gomez Company report related to this contract on Its Income statement for the year ended December 31 Year 1 How much would the company report as net cash flows from operating activities for Year 1 Multiple Choice 0 23 100 23 100 23 100 7 700 23 100 67700 7700 Jhy

Write 7 483 x 10 7 in decimal form

For the function f x x 9 construct and simplify the difference quotient The difference quotient is f x h f x h

6 O 4 2 6 4 2 Figure Circle ty 0 2 4 6 X Read the question and type your resp automatically What is the radius of the circle r

The graph of f z is shown in red Draw the graph of g x f x Make sure to start at one of the endpoints not the middle point After finishing the graph click outside the grid to stop drawing The graph of f x is shown in red Draw the graph of g x f x 3 Make sure to start at one of the endpoints not the middle point After finishing the graph click outside the grid to stop drawing 8 7 6 2 43211 2 3 4 5 0 Clear All Draw Polygon 8 7 6 5 4 3 2 8 7 6 5 3 2 S 1 2 3 5 6 7 8 1 234 Clear All Draw Polygon

1 choosing ONLY D will get 1 mark choosing no option s i e the question is unanswered will get 0 marks and choosing any other option s w get 2 marks For any 3 x 3 matrix M let M denote the determinant of M Let 12 3 1 0 0 1 3 2 4 P 0 0 1 and F 8 18 13 0 1 0 24 3 E 2 3 8 13 18 If Q is a non singular matrix of order 3 x 3 then which of the following statements is are TRUE 1 0 0 10 0 1 B EQ PFQ EQ PFQ C EF EF D Sum of the diagonal entries of P EP F is equal to the sum of diagonal entries of E P FP A F PEP and P 0 0

9 Question Stem Consider the lines L and L defined by L x 2 y 1 0 and L x 2 y 1 0 For a fixed constant 2 let C be the locus of a point P such that the product of the distance of P from L and the distance of P from L is 2 The line y 2x 1 meets C at two points R and S where the distance between R and S is 270 Let the perpendicular bisector of RS meet C at two distinct points R and S Let D be the square of the distance between R and S The value of 2 is

arks e Marks 0 2 f x b x correct option If none of the options is chosen t e the que In all other cases b be a nonzero real number Suppose fL R R is a differentiable function such that f 0 ivative f of f satisfies the equation M answered x rall x e R then which of the following statements is are TRUE If b 0 then fis an increasing function 3 If b 0 then fis a decreasing function C f x f x 1 for all x R D f x f x 0 for all x R

Question 37 of 60 Information needed for a listing agreement generally includes A names ages and relationship of the owners dimensions of the lot and neighborhood amenities B names and relationship of the owners dimensions of the lot and property tax statements for the past four years OC size type age and construction of the house and required disclosures regarding property conditions OD number and color of rooms and their sizes dimensions of the lot and the street address

Which of the following is a likely outcome of a property home inspection OA The seller agrees to correct all defective items but the buyer decides not to buy anyway and terminates the contract OB A seller who is unable or does not wish to make the corrections may offer a monetary amount of credit to be given at settlement OC The sale can only go through if the seller corrects all defective items OD The contract terminates if the home inspector finds a list of defective items

Why does TREC insist that brokerages provide and display information about brokerage services offered in Texas even if a specific brokerage does NOT offer Those services OA TREC believes consumers should understand the basics of agency law and fair housing requirements and understand that license holders will not abrogate those principles Question ID 8825 O B TREC allows brokers to provide brokerage service information to consumers so that consumers can decide who they want to do business with C None of these OD Because brokerage services is a list of fees TREC feels consumers should understand what they are being billed for