Basic Math Questions and Answers

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Unit 1 Introductory Lesson 1 Variables and Expressions Example 4 Complete the table below Word Phrase Nine more than a number y 4 less than a number n A number z times three A number a divided by 12 5 times the quantity 4 plus a number c Variable Expression 4 n 2x3 a 12 5 1 c y 9 Example 5 Write a variable expression for each word phrase d phrase a 16 more than m b the product of c and 3 c b times 8 d x less than 2 e 4 more than the quotient of g and 6 f 10 less than the quotient of a number c and 13 g 9 less than 18 times a number x h 6 times the sum of a number q and 9 i one fifth of the sum of 10 and a number q j 12 times the quotient of a number g and 43 k 6 less than the product of t and 7 Example 6 Write a variable expression to represent the situation a number of hours in m minutes com s

Part B A high school drama club is selling tickets for a fundraise event Based on data from past events the number of 400 tickets sold can be modeled by the linear function Q x 40x 640 where x is the price in dollars of F 200 each ticket 1 What are a reasonable domain and a reasonable range for function Q Explain Revenue 3000 2000 2 The revenue R can be modeled by multiplying the ticket price x by the number of tickets sold Write a quadratic function R that correctly represents that model Justify your answer 1000 3 Graph function R below Label the vertex What does the vertex represent in this context Explain 0 0 600 RX 4 8 12 16 Price per Ticket 0 0 XA Q x 4 8 12 16 Price per Ticket S

X 0 1 2 3 4 Actual Sales 17 29 34 33 22 Sales 16 30 34 34 24 Resi tion a also models the

13 Nicky wants to surround a painting 5 inches by 11 inches with a frame that is w inches wide Write a quadratic function A in standard form to represent the combined area A of the picture and the frame 14 Suppose that in question 13 the frame must be at at least 1 inch and no more than 3 inches wide What are the domain and the range of the function domain range 16 W 15 The rate of change of function f is the same from x 2 to x 1 as it is from x 1 tox 4 antial

C D h t 5 03t2 10 22 2 99 h t 5 03t2 2 99 10 22 17 The function f x 4x 18x 16 models th increases Use the table showing actual and model Actual Sales Predicte d Sales Residual

me Which function best models the data Time t s 0 0 5 1 0 1 5 2 0 8 2 7 0 Height h m 3 0 6 7 3 3 h t 15 9t2 2 99 10 22

Using the graph below point F is represented by m U

9 The graph of h is a translation 4 units right and 1 unit down of the graph of f x x Write function h in vertex form 10 What is the axis of symmetry of the graph of the function f x 2x 8x 5 A x 5 C x 2 B x 4 11 The function h t 16 24t models the height in feet of a kangaroo t seconds after it jumps What is the maximum height of the jump A B D X 2 9 ft 18 ft c D 27 ft 36 ft 12 The function f x x bx 1 is shown in the graph What is the value of b 4 04 8 co Xo f

5 What is the vertex of the graph of function f x 2 x 6 What is the axis of symmetry for the function y x 3 5 A x 5 B x 3 C x 3 7 Which of the following functions has a graph with a vertex that is a translation 5 units norizontally to the right of the vertex of the graph of g x x 2 2 D x 5 A g x x 3 2 2 B g x x 7 2 2 C g x x 5 2 2 D g x x 2 2 5 vertex 8 Identify the vertex and y intercept of the graph of the function y x 2 3 y intercept

The EGL and HGL slope downward in the direction of the flow due to the geometry change as valves and tees etc Select one O True O False

A normal distribution has a mean of 33 and a standard deviation of 6 Find the probability that a randomly selected x value from the distribution is in the given interval 9 15 21 9 15 21 27 33 39 27 x 33 X 39 45 45 51 57 51 57 Q

Pag a 120 100 80 60 40 20 200 180 160 140 120 100 80 60 40 190 170 150 130 110 90 70 50 30 100 80 60 b 40 20 whubud 200 180 160 140 120 100 80 60 8 www www www www 40 190 170 150 130 110 90 70 60 30

How many inches equals a foot 1 65 2 55 3 48 4 75 5 96 6 5

Current Attempt in Progress In applying the high low method what is the fixed cost Month Miles Total Cost January 84000 172000 February 60000 130000 March 76000 168000 April 92000 190000 O 22000 O 38000 O 17500

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The data table contains waiting times of customers at a bank where customers enter a single waiting line that feeds three teller windows Test the claim that the standard deviation o waiting times is less than 1 5 minutes which is the standard deviation of waiting times at the same bank when separate waiting lines are used at each teller window Use a significance level of 0 01 Assume that the sample is a simple random sample selected from a normally distributed population Complete parts a through d below Click on the icon to view the data a Identify the null and alternative hypotheses Choose the correct answer below OA Ho 1 5 minutes HA 0 1 5 minutes OC Ho o 1 5 minutes HA 1 5 minutes b Compute the test statistic Round to two decimal places as needed B Ho o 1 5 minutes HA 0 1 5 minutes D Ho o 1 5 minutes HA 0 1 5 minutes

1 a By reading values from the given graph of f use four rectangles to find a lower estimate and an upper estimate for the area under the given graph of f from x 0 to x 8 In each case sketch the rectangles that you use b Find new estimates using eight rectangles in each case YA 4 2 0 4 8 x

A company plans to enclose three parallel rectangular areas for sorting returned goods The three areas are within one large rectangular area and 1064 yd of fencing is available What is the largest total area that can be enclosed

lule 6 thesis Testing K Question 38 7 Part 1 of 5 A research center claims that 26 of a could afford it In a random sample of 8 commercial flight if they could afford it C

Question 4 13 Assume an investor has 19 000 dollars table which shows the probabilities for

Question 3 1 ssume that you have 18 000 to inves table to the right which shows the

Which of the following is sufficient to prove that the parallelogram below is a rectangle OA LP PN and MP OP O B LO ILM C MPI PN and LPL OP O D LMN ZNOL M N

Any number or variable raised to the power of Zero will always be O 1 01 O undefined

The sampling distribution of the sample mean is shown If the sample size is n 9 what is the standard deviation of the population from which the sample was drawn Type an integer or a decimal rounded to three decimal places Click the icon to view the sampling distribution OA 6 667 B 60 C o 2 222 180 OD Sampling Distribution 380 400 4 420

Simplify x y 3 1 a Write the rule s that you will use to justify your work b Write your answer

Simplify 4x y 3x y Szy O 3zy 4 O 12xy O

Simplify 3x4 a Write the rule s that you will use to justify your work b Write your answer

Simplify 2x y 3 2x 1y O 2x O 2x y O 4x y An 2

Simplify 2x O 162 0 828 0

Which Rule of exponents is shown in the following problem 4x4 2x O Zero Rule O Quotient Rule O Product Rule

Answered rect Answer how Transcribed Text rect Answer rrect Answer rrect Answer rrect Answer rect Answer Answered Module 6 rect Answer The urban income is y 15 000 The land rent is 3 000 r 3 000 commuting cost is 100 per mile t 100 The city offers 30 000 jobs J 30 000 After solving the quadratic equation you learn that in equilibrium the population is 109 808 a In equilibrium what is the chance of getting an urban job b What is the implied unemployment rate in the city Answer 1 You left this blank 0 27 27 0 28 28 27 27 3 Answer 2 model applied to the You left this blank 73 5 model that we stud G

nts S practured so that you will read some information a Note You may repeat this tutorial as many times as y Given the joint distribution X of Red 0 0 0

Solve the system of equations 6x 6y 6 6x 3y 12 Part A The system has Part B solution s Enter the answer in the boxes as individual coordinates of an ordered pair if the system has one solution Leave the boxes empty if there is no solution many solutions

Solve 2 6r 12 0 Select all solutions 0 3 i 3 03 i 3 3 3 03 3 0 3 i 3 0 3 i 3 0 3 3 0 3 3 x X x 4 2 1 a Value b Value Value 4 X X Quadratic Formula b b 4ac 2a x

Solve 32 x x 4 O 4 O 14 O 2 4 3 8 x 4 O There is no solution

Consider the function g x x 5x 12x 36 Given that g 2 0 completely factor q Which of the following are x 2 x 2 x 3 x 3 x 6 x 6 x 9 x 9 6 of 15

Question 12 1 A table of marital status for males and fe person picked at random is a woman Now Married not separated Widowed

Question 10 13 1 45 ssume that the table below summarizes a survey invo oint average for a group of students If we select a stu student has a grade point average of at least 2 5 At home Below 2 5 2 5 to 3 5 Over 2 F On Campus 97 68 10 25 4 Apartn IN

Question 5 The residents of a small town and th divided over the proposed constructi

You buy a stereo system for 780 every year the value of the stereo depreciates by 15 How long will it take for the stereo system to be worth half the original pr ice 6 7 years O 7 2 years 2 6 years O 4 3 years

You drink a Coca Cola that contains 120 mg of Caffeine Each hour the amount of caffeine in your system decreases by 9 5 How much caffeine will you have in your system after 3 5 hours 33 5 mg 78 4 mg 95 7 mg R4 A ma

The amount of a radioactive substance decreases by 25 every days Right now the amount of substance is 60 grams How long will it take for the amount of the substance to be 350 grams Write the value of each variable If the value is unknown write a write only the numerical value no units 1 y 2 a 3 r 4 t

The price of a new PS4 was 399 in 2013 IN 2019 the price of a used PS4 is 200 What is the depreciation rate of the PS4 Write your answer as a percentage 10 9 14 5 12 2 9 4

A cup of coffee from Starbucks cools at a rate of 2 1 per minute If the coffee is now 79 9 C what will the temperature of the coffee be in 29 minutes O 43 2 C 50 6 C 46 9 C 55 3 C 131

Write the converse inverse and contrapositive of the statement below If goblins come out to play then it is not Halloween Choose the correct converse OA Goblins do not come out to play or it is not Halloween OB If goblins do not come out to play then it is Halloween OC If it is not Halloween then goblins come out to play OD If it is Halloween then goblins do not come out to play Choose the correct inverse OA If it is not Halloween then goblins come out to play OB If goblins do not come out to play then it is Halloween OC If it is Halloween then aoblins do not come out to plav

uction piece shown in the diagram Explain

tangular prism She with the piece shown 4x 1 al two pieces form a s represented by the 5 What is the volume X 2x 7 3x 5 2 Write down the main the first quration 3 Make an initial conjec