Coordinate system Questions and Answers

For f x 3x 1 and g x x 6 find f g x OA x 3x 5 OB 3x 17 212 ne

If f x 5x and g x x 1 find f g x OA 5x 5x OB 5x 1 O C 6x O D 5x 1

A student gets paid to sell food and drinks at the school play during intermission He earns an hourly rate of 12 plus an extra 0 50 for each bakery item he sells and 0 25 for each drink he sells If h hours b bakery items and d drinks what function can he use to calculate his earnings OA T h b d 12 2 4 b d OB T 12h 2 4 O C T 2b 4d 12 24 OD T 12h b d

For f x 3x 1 and g x 6 find OA OB O C O D 3x 1 3x 1 3x 1 3x 1 32 6 3

Is the graph increasing decreasing or constant where 8 x 10 10 10 8 6 49 A Increasing B Decreasing C Constant

Is the graph increasing decreasing or constant 8 9 8 4 2 2 y A Increasing OB Constant C Decreasing 2 4 C

Is the graph a linear function nonlinear function or relation S 10 5 OA Relation OB Nonlinear function C Linear function

hich graph is a relation non function OA OB 10 84 78842 10 1 10 8 10 OC 10 8 b KT E do doh N N 8 10

Is the graph increasing decreasing or constant 10 0000 8 6 4 21 88 42 2488 10 12 4 999 8 O A Constant OB Decreasing OC Increasing

Find the sum S 4 K 1 Select one O a 60 Ob 32 O c 108 d 54 2k 1

Find the sum 5 S WE K 1 Select one a 31 Ob 16 C 48 d 0 2k 1

Find the 10th term of the sequence 3 6 12 24 48 The 10th Term is

A sum of a geometric series is given for n number of terms Find the value of n 1111 1 10 1 10 Select one a 4 b 121 O c 3 O d 5 2

Find as when a 2 and r 2 Select one a 128 Ob 32 c 64 Od 64

OA B 10 co 48 4 HB LA DIY 10 DNB 14 cy99 H K 34 10 C 8 9 THE INT 1999 2 1215 2 4 6 8 10 2 4 8 8 10 14 6 8 10 12 10 18 8 OC o 342 2 14 8

Which equation is represented by the graph 10 10 10 5 Select one or more a y x b y 3 2 c y 5 d y 2 e y lo 5 10 10 5 10

Choose the graph of y ln x 1 Select one a b 10 10 5 5 10 5 0 5 10 10 5 0 5 10 10 5 5 10 10

Solve for x logx log x 9 1 Select one or more a x 10 b x 1 c None of these d x 10

find the domain of each function in interval notation f x 2r 5r 6 x 3

13 A company makes a table for 15 and sells it for 19 What is the percentage of markup

All of the above Use of data facts and experiences O Concepts and theories Question 12 One develops as a critical thinker by Taking command of one s thinking All of the above Continually distinguishing between assumptions and inferences Realizing that our purposes may be inconsistent at times

Find the slope through the given two points 4 5 and 6 1 Find the slope of the line that passes through the given two points 1 6 and 2 6 Find the slope of the line that passes through the given two points 2 3 and 4 7 Find the slope and the y intercept of the given line y 4x 11 line that passes Find the slope and the y intercept of the given line 3x 4y 36 Find the slope and the y intercept of the given line 9x 6y 9 Find the equation of a line with the given slope and y intercept Slope 4 y intercept 0 3 Find the equation of a line with the given slope and y intercept Slope 5 y intercept 0 2 Graph using the slope and y intercept y 3x 7 Graph using the slope and y intercept y 6x 7 Graph using the slope and y intercept 2y 4x 10 Graph using the slope and y intercept 2x 3y 15

6 If m CDF 3x 14 mZFDE 5x 2 and mZCDE 10x 18 find each measure 7 If m LMP is 11 degrees more than m NMP and m NML 137 find each measure LA f M P N P D mZLMP mZNMP 8 If mZABC is one degree less than three times m ABD and m DBC 47 find each measure B C D F 9 If QS bisects LPOT mZSQT 8x 25 m POT 9x 34 and mZSOR 112 find each measure Q FC D E S G H m CDF m FDE m CDE T R 10 If ZCDE is a straight angle DE bisects ZGDH mZGDE 8x 1 mZEDH 6x 15 and m CDF 43 find each measure m ABD m ABC E x mZPQS m PQT mZTOR X m GDH m FDH mZFDE

If A t t 1 ti 11 1 What is the condition for the linear transformation TA to become onto 2 Find the value of t that becomes rank A nullity AT

Suppose you invest 4900 in an account with an annual interest rate 12 compounded monthly 1 each month Use this information to complete the table below Round to the nearest cent as needed Month 1 2 3 4 5 Starting Balance 4900 4949 5048 47 Question Help Video 1 Interest on Starting Balance 49 50 99 Ending Balance 4949 5048 47

Linear Regression Christmas Trees The following table gives the total number of live Christmas trees sold in millions in the United States from 2004 to 2011 Source Statista com t number of years since 2004 In 2008 there were approximately 28 2 0 O C total number of Christmas trees sold in the U S in millions 1 Use the TABLE to determine the number of live Christmas trees sold in the year 2008 C 0 27659t 29 77411 x 2 27 1 4 28 6 6 28 2 27 7 30 8 2 Determine the linear regression equation that models the set of data above Use the indicated variables and proper function notation Round to the nearest hundredth as needed million live Christmas trees sold in the U S 3 Interpret the meaning of the slope of your rounded regression model From 2004 to 2011 the number of Christmas trees sold in the U S increased by approximately 0 2786591 x million trees each year 4 Use the REGRESSION EQUATION to determine the number of live Christmas trees sold in the year 2008 In 2008 there were approximately 30 85573 x million live Christmas trees sold in the U S 5 Your answers to parts 1 and 4 should be different Why is this the case The data are linear The regression equation gives a more precise answer than the value from the table The data are linear The regression equation gives only an approximation of the actual value not the exact value The data are not perfectly linear The regression equation gives a more precise answer than the value from the table The data are not perfectly linear The regression equation gives only an approximation of the actual value not the exact value

In the parallelogram mZKLO 78 and m MLO 42 Find m KJM The diagram is not to scale J O 120 O 110 078 60 L K

Determine which of the following are singular value decompositons for A 2 3 4 3 13 3 2 713 Ols an SVD O Is NOT an SVD 6 13 13 3 13 VIB VIB Ols an SVD Ols NOT an SVD V13 9 6 13 13 Ols an SVD O Is NOT an SVD RE 1 Is an SVD 30 03 30 03 0 2 3 0 3 11 0 3 13 3 3 13

Q3 In the equation 4x 9y2 16x 36y 56 0 make the below transformations x x h y y k Choose the constants hand k so that there are no x and y terms in the new equation Find the new equation in the x y system in this way A 3x 2y 6 B 4x 9y 2 36 12 C 9x 4y 36 D 3x 4y 56 0 E 4x 3y 56 0

he rate of depreciation of a building is given by D t 2000 10 t dollars per year 0 t 10 see the following figure D t 20 000k 15 000 10 000 5000 2 4 6 8 10 a Use the graph to find the total depreciation of the building over the first 5 years t 0 to t 5 b Use the definite integral to find the total depreciation over the first 5 years

Use the graph of f z shown below to 10 9 8 7 654 3 12 10 8 4 16 To 36 2 4 6 8 10 2 12 5 6 7 8 9 IC a Find f 0 b Find f 5 c Find f 4 d Find the value s for z when f z 0 Find the x intercept s Write as order pair s f Find the y intercept s Write as order pair s NOTE If you do not see an endpoint assume that the graph continues indefinitely in the same direction g State the domain using interval notation solve first then put value

Use the graph of f z shown below to answer the 10 9 8 LA de 6 5 a Find f 0 b Find f 5 B 4 TO m 0 IN 12 10 8 6 1 to 2 4 6 8 10 12 1 2 3 c Find f 4 d Find the value s for a when f z 0 4 5 6 e Find the x intercept s Write as order pair s f Find the y intercept s Write as order pair s 7 8 9 IC

Run a Linear Regression Analysis on the data table to the right Use that information to answer the following questions Note Write each answer as an equation Round all values to 3 decimal places Write the Linear Equation that models this data Use this equation to predict y when x 20 3 Enter the prediction as an equation in the form y MI Lei X 1 9 5 6 24 4 30 2 33 9 48 8 12 7 47 1 10 5 y 142 1 206 6 127 3 92 7 83 6 18 1 120 5 15 8 115 5

A When a new charter school opened in 1990 there were 960 students enrolled Write an equation representing the number N of students attending this charter school t years after 1990 assuming that the student population a Decreases by 12 per year b Remains constant does not change c Increases by 76 students per year d Decreases by 42 students per year e Increases by 14 per year N N N N N II

A Determine the outcome and sample space based on the experiment Write your answers on separate sheet of paper SAMPLE SPACE EXPERIMENT Rolling a die an even number is rolled Rolling a die a number greater than two is rolled Describing all three child families according to the genders of the children with respect to birth order Flipping a coin three times OUTCOME

Suppose you invest 8500 in an account that earns 7 simple interest annually Use this information to complete the table below Round to the nearest cent as needed Year 1 2 3 4 5 Question Help Starting Balance Video 8500 9095 10285 es Interest 595 595 Ending Balance 9095 10285

In the rhombus m 1 140 What are m 2 and m 3 The diagram is not to scale 1 2 3 O m2 140 m 3 70 Om 2 40 m 3 20 m2 140 m 3 20 O m 2 40 m 3 70

Change Determine the Percent Change Relative Change for each of the following Express each answer as a percent rounded to the nearest tenth A quantity decreases from 25 to 20 decrease A quantity increases from 20 to 25 The price of a Latte dropped from 3 12 to 2 86 The cost of Gasoline rose from 2 86 to 3 12 increase decrease increase

When a new charter school opened in 2010 there were 930 students enrolled Write an equation representing the number N of students attending this charter school t years after 2010 assuming that the student population Increases by 88 students every 4 years Decreases by 52 students every 2 years Increases by 12 every 4 years Decreases by 8 every 3 years Increases by 72 students every semester twice each year Increases by 13 every quarter 4 times per year N N N N N N HINT To enter an expression like 25 0 8 2 be sure to put parentheses around the exponent 25 0 8 2x To enter an expression like 25 0 8 be sure to put parentheses around the exponent 25 0 8 x 2 Question Help Video

LM is the midsegment of ABCD AB 72 and DC 104 What is LM D O O O L 98 32 88 O 176 A B M C

After graduating from college Carlos receives two different job offers Both pay a starting salary of 73000 per year but one job promises a 4380 raise per year while the other guarantees a 5 raise each year Complete the tables below to determine what his salary will be after t years Round your answers to the nearest dollar t years Salary with 4380 raise per year t years Salary with 5 raise per year 77380 76650 1 1 81760 5 5 80482 5 X 86140 10 10 X 84506 63 15 X 90520 X 15 88731 96 X 20 94900 20 X 93168 55 X X

Find the missing values of the variables The diagram is not to scale 106 to Oy 119 Ox 93 y 74 Ox 74 y 103 Ox 103 y 119 Ox 74 y 93 74

Parallelogram ABCD has the angle measures shown Can you conclude that it is a rhombus a rectangle or a square Explain 66 166 66 1 66 There is not enough information Parallelogram ABCD is a rectangle because the diagonal creates congruent angles Parallelogram ABCD is a square because all four angles have the same measure Parallelogram ABCD is a rhombus because the diagonal bisects two

P x 7 84 V W R x 21 84 Which equation can be used to solve for x 21x 84 3 x 7 84 S 3x 7 84 x 7 T

Solve the following equation 2x 16 1 4 Select one a 4 Ob 2 C 4 Od 1

State whether the given parallelogram is a rhombus rectangle or square NP OQ N R D P T Choose Choose Choose

For what value of x is the parallelogram a rectangle The parallelogram is a rectangle when x Type a whole number C

For what value of x is the figure a rhombus The value of x is 1 Simplify your answer Type an integer or a fraction Points 0 of 1

Favorite Candy Bar Kit Kat Children 15 Adults 31 Butterfinger 12 18 49 Using the table above calculate the totals The probability that a child prefers KittKatt is of liking KittKatt given the person is a child P k c In other words what is the pr

Expand 1 b up to the first three terms Hint Use the binomial theorem Select one a 1 15b b 1 5b 10b 2 c 5 5b 10b2 Od 1 5b 10b