Algebra Questions

72 Show that no 2 x 2 matrices A and B exist that satisfy the matrix equation AB BA 1 9 0

How many milliliters of water are in the measuring cup ml 3 500 ml 400 300 200 100

O In Oln 12x CT Single logarithm Simplify any polynomials In 243x20 In 256x24 5 4 5 3 20x it present In 125x 3

Rewrite as a single logarithm Simplify any polynomials if present In 256x24 In 125x In 243x20 5

Evaluate 7 log 100 7

Solve for x 7 6x 4 193x 6 x 8 Round to three decimal places

Evaluate 2 24 ln 66 4 42 Round to three decimal places

A population of animals starts at 437 000 and grows continuously at 6 per year to 1 211 886 How long does it take to achieve this growth years E Round to the nearest whole number

Classify the following function y 5 6 O Exponential growth O Exponential decay O Linear O Quadratic O None of the above

Rewrite as a single logarithm 4 In 4x5 In 16x4 In 20 256 In 256 220 In 256x 0

Evaluate the logarithm function f x 4 log 5x 645 10 for x 4 4

Solve for x by rewriting in exponential form log 27 x 2 4

a If 20 liters of water are added what is the percent of salt in the new mixture

nd two real numbers between 2 and 2x that determine each of the points on the unit circle given to the right e two real numbers that determine M are

Write the equation of the new function g x if f x if transformed as described 5 f x is shifted 11 units up and 6 units right 6 f x is reflected over the x axis shifted 8 units left and 9 units down g x g x

8x 3 9 f x 4x 1 Vertical Asymptote Horizontal Asymptote x 8 10 f x x2 3x 10 Vertical Asymptote Horizontal Asymptote

13 Which of the equations is represented by the graph 5x x 4 a f x b f x 5x 9 d f x 5x3 10 x 4 c f x 52 x 5 x 4

How many liters of water must be added to make a 1 salt mixture use 1 not 01

11 A scientist creates a solution of salt and water The function f x salt in the new mixture when x liters of water are added Decimal form of percents are not needed in this 120 x 10 represents the percent of problem

Identify the vertical and horizon tal asymptotes of each rational function Show your wo 2x 3 7 f x x 11x 24 Vertical Asymptote 4x x 6 8 f x x 8x 15 Vertical Asymptote

12 The graph of which equation below has a horizontal asymptote of y 3 x 3 x 1 d y a y b y x 2 3x c y 1 3x 2 x 1 3x 2 3x

Graph the functions below and identify the transformations asymptotes domain and range y 3 h x 2 x 6 Transformations Vertical Asymptote Horizontal Asymptote Domain Range

Complete the table and graph the functions List the asymptotes domain 1 f x x X y Name the asymptotes Domain Range

2 Complete the table below for g x 1 X 2 3 4 6 8

10p Find solution of a system of linear equations with variables x1 x2 x3 x4 R 1 2x2 3 4 3 2x1 x2 x3 3 7 X1 X2 3x3 4 8 x2 2x3 2x4 5

10p Find solution of a system of linear equations with variables x X2 X3 X4 R x1 x2 x3 2x4 1 cx1 cx2 C cx c 1 x2 c 3 x3 2c 1 x c 5 x2 2x3 x4 5

PROBLEM 1 Compute and mark on the complex plane 3p 8 cos 347 8jsin 347 4p 2 j d 1 d j d 1 1 Z 6 3p the roots of w z 2 j 3 4 2 1

Solutions must include In teh following problems assume UD is the unit digit and TD is the tens digit of the Student ID c 1 1 0 1 c d is the remainder of dividing UD by 3 then increased by 1 p is the remainder of dividing UD TD by 3 then increased by 2 q is the remainder of dividing UD by 4 then increased by 3 43 3 4 Duration 2h PROBLEM 1 Compute and mark on the complex plane 3p 8 cos 347 8 sin 347 PROBLEM 2 sary comments and calculations 10p Find solution of a system of linear equations 3p verify if A is a basis of R 3p find a basis and the dimension of span A PROBLEM 4 Pind values with variables 21 22 23 24R PROBLEM 3 For a tuple of vectors A 3p p 3p 2p 3 1 p 3 2p 1 1 p 1 in 3p Him 1 3 gn 4p im 9 1 m 2 PROBLEM 5 is continuous at x 0 PROBLEM 6 For a function f x 34 d 340 2 3 1 x 2d 2 d 40 es des 1 1 2 de 3p the roots of w z 2 1 3 4 2 21 22 25 2x4 1 CX140X20 1 1 1 cx 0 1 x2 0 3 x3 20 1 4 0 5 x2 2x3 24 5 4p verify if p 7 p 1 2p 5 span A 3p lim are ty wpx 10p Find parameters a beR for which a function f x a arcsin cos b 3p find the left slant asimptote 5p examine the monotonicity and find local extreme values 9 29x 9 2 Points 60 sin px In 1 px for x 0 for x 1 for x 1

Answer saved Marked out of 1 00 Price of bond has a a Can t decide b Positive Oc Negative O d No relation Clear my choice relation with the maturity

Ex 2 Graph g x Vertical Asymptote Horizontal Asymptote Domain 2x 1 x 2 Range

1 Marketinq t dqiqatlar anlay

Rational functions can be written f x P where P x and Q x are polynomials and Q x 0 P x x 1 Ex 1 Find the vertical asymptotes of g x x x 6

The vectors x 1 1 1 x 3 1 4 span R Select one O True False

A chair and end table together cost 660 The chair costs twice as much as the table How much is the chair

Data File Available Download Scatter xlsx The following 20 observations are for two quantitative variables x and y Observation 40 0 20 1 40 2 3 4 5 6 7 8 9 10 40 30 20 22 10 33 49 2 13 0 y 29 16 13 22 23 8 21 28 10 10 27 35 14 5 3 3 20 Observation 30 11 40 12 13 14 15 16 17 18 19 20 a Develop a scatter diagram for the relationship between x and y y 60 40 20 0 20 X 40 37 48 34 9 33 20 3 y 29 7 18 31 16 15 18 14 12 17 20 11 22 40 30 20 10 0 10 20 30 40 60 40 20 0 20 40 b What is the relationship if any between x and y There is no relationship between x and y o There is a positive relationship between x and y because y decreases as x increases There is a negative relationship between x and y because y decreases as x increases There is a positive relationship between x and y because y increases as x increases Tation alationship between y and y because y increases as x increases Than 40 30 20 10 0 10 20 30 40 40 20 20 40 40 30 20 10 0

2x 5y 15 a Find the slope and y intercept if possible of the equation of the line algebraically Use a graphing utility to verify you answer If an answer is undefined enter UNDEFINED Enter NONE if there is no y intercept slope 2 5 y intercept x y b Sketch the line by hand Use a graphing utility to verify your answer S No Solution 0 3 10 9 8 7 6 10 9 8 7 6 5 13 1 4 2 3 4 5 6 7 8 2 6 7 8 9 10 Clear All Delete Fill Graph Layers Line 1 Point 1 Point 2

2 2 25 X2 3 5 1

es of exercises we will teach you how to use our interactive math questions Repeatedly tap or click on part of the equation to select it Tap or click outside the equation to broaden your selection Now select the 3 and drag it onto the 5 to the right of it Options will appear for the sum of 3 and me 2 This should result in 2x 2 6 Submit your answer in the upper right corner when you have completed this step 2x3 5 6

Frank starts riding his bike towards town at a constant rate of 10 mph Then 30 minutes later his wife Cadie starts driving on the same path at a constant rate of 30 mph How long will it take her to catch up Bill A B C 8 min 9 min 15 min

A company has a policy of retiring company cars this policy looks at number of miles driven purpose of trips style of car and other features The distribution of the number of months in service for the fleet of cars is bell shaped and has a mean of 58 months and a standard deviation of 7 months Using the 68 95 99 7 rule what is the approximate percentage of cars that remain in service between 65 and 72 months Do not enter the percent symbol ans

The graph illustrates the distribution of test scores taken by College Algebra students The maximum possible score on the test was 140 while the mean score was 77 and the standard deviation was 15 34 13 5 2 35 0 15 32 47 77 62 Distribution of Test Scores 92 107 122 What is the approximate percentage of students who scored between 77 and 92 on the test What is the approximate percentage of students who scored between 77 and 122 on the test What is the approximate percentage of students who scored higher than 107 on the test What is the approximate percentage students who scored between 62 and 92 on the test loc

The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs The distribution of the number of daily requests is bell shaped and has a mean of 65 and a standard deviation of 5 Using the 68 95 99 7 rule what is the approximate percentage of lightbulb replacement requests numbering between 65 and 75 Do not enter the percent symbol ans

The scores on a standardized test are normally distributed with a mean of 90 and standard deviation of 25 What test score is 1 3 standard deviations below the mean

Which of the following is equivalent to 18 25 18 5i 5i

What are the solutions to the inequality x 3 x 5 0 x 5 x 3 x1 3 x 5 x 5 x 3 O

Which inequality in vertex form represents the graphed region 16 32 32 28 24 20 16 12 8 4 0 4 8 Y 12 24 2 4 6 8 10 12 14 16 18 20 22 24 v x 16 32 y 2 x 16 32 XI

Which equation is y 6x 12x 10 rewritten in vertex form Hint graph both to see which one matches the graph y 6 x 1 4 y 6 x 1 16 y 6 x 1 10

Which inequality in vertex form presents the region less than or equal to the quadratic function y 1 z 1 3 Oy 2 1 3 Oy 2 1 3

Which value must be added to the expression x 16x to make it a perfect square trinomial Completing the Square what is the new c term 256 64

Which expression is equivalent to 73 1