Permutations and Combinations Questions and Answers

Write 2 5 using inequality notation The inequality is Type an inequality using x as the variable

5 State the degree of the following polynomial Hint express your answer as a single integer 2cd 6c 2cd 4d 7c 12 Degree of

9 Simplify the following polynomial then state the degree 2a b 2a b 8ab 2a 6 9 Hint express your answer as an integ Degree of

2 Simplify the following polynomial 3cd 7c 8cd 8d 7c 13 x

Enter the exact answers For the number T either choose from the bar at the top or type in Pi with a capital P The reference angle is sec 11

You have a choice between going to an in state college where you would pay 8000 per year for tuition and an out of state college where the tuition is 10 500 per year The cost of living is much higher at the in state college where you can expect to pay 900 per month in rent compared to 350 per month at the other college Assuming all other factors are equal which is the less expensive choice on an annual 12 month basis The yearly expense of the in state college is yearly expense of the out of state college is on an annual basis the less expensive choice is the college Simplify your answers and the Thus

The dot plot shows the nur free throws made by the players on a basketball team during practice Basketball Practice 0 F G TL 1 2 3 16 28 4 5 Number of Free Throws dub Based on the information in the graph what percent of the players made 7 free throws H 6 J 7 32 24

Twenty one regions in a nation contain casinos Assume the nation has 50 regions a What fraction of the regions contain casinos b How many regions do not contain casinos c What fraction of the regions do not contain casinos

18 Solve the equations 5 4 by graphing it on your graphing calculator Verify the graph by solving the equation algebraically Is the following statement true or false There are some values of x that are not found in the domain O True False

Find the slope of the secant line in red 104y 10 8 6 8 4 2 6 14 0 4 2 3 2 2 4 6 8 2 10

Evaluate the function f x 3x 2x for the given value of x Simplify your answer f m

Determine the domain and range of the function 7 2 3 1 2 3 2 V

5 Add 17 7 13 17c 4 O O 9c 7 0 9c 7 9c 7 24c 17 81c 126c 49 10c 9 9c 7 24c 17 9c 7

16 9 Simplify 32mg O 2x 3 9 y 9 4 OF O 826 2x0y O The stated problem is already in the simplest for

13 Solve the following equation by multiplying both sides by the LCD 22 8 2 4 5 8 Hint Round your answer to the nearest hundredth 3

Solve the following system algebraically or graphically y x y 4x 12

Show ALL steps to verify the following equations are equivalent kR 7 and r R kt

When csc e sin is simplified what is the result O O 1 2 CSC 1 sin O 0 O 1

Use the graph of f to find the value f 2 y f x Q S

d f 1 df n dx x dx x2 where H represents infinite i H ii f xe ax J sx dx

3 Write the expression in simplest form Show your work if more than one step is required a x 4 7 7 b 32y15 5 d y5 7 3 24 Bly 6 1 2 16x12 e

Let f x 4x 2 and g x 4x 3 Find the followin f g 3 f g 3

Alo buys a bag of cookies that contains 8 chocolate chip cookies 8 peanut butter cookies 6 sugar cookies and 6 oatmeal cookies What is the probability that Alo reaches in the bag and randomly selects a peanut butter cookie from the bag eats it then reaches back in the bag and randomly selects an oatmeal cookie Give your answer as a fraction or accurate to at least 4 decimal places

In how many ways can first second and third prizes be awarded in a contest with 395 contestants Assume there are no ties Your answer is

The equation is Type an equation Simplify your answer

6 3 3 Solve the equation by graphing it on your graphing calculator 6 Verify the graph by solving the equation algebraically I What are the values for that make the equation undefined Mark all that apply The equation is defined for all values of 0 3 0 6 06

Determine without graphing whether the given quadratic function has a maximum value or a minimum value and ther find the value f x 2x 12x 5 Does the quadratic function f have a minimum value or a maximum value The function f has a maximum value The function f has a minimum value What is this minimum or maximum value Simplify your answer

7 What kind of variations does the following data show C 6 15 37 5 O Direct O Inverse y 15 37 5 93 75

identifying intercepts dentify the intercepts Q G Question 4 13 3 7 Part 1 of 2 HW Score 62 5 2 5 of 4 points O Points 0 of 1 Save Select the correct choice below and if necessary fill in the answer box to complete your choice O A x intercept s Type an ordered pair Use a comma to separate answers as needed OB There is no x intercept

2 3 Let PA X X 2 x 1 Find the sixth possible Jordan forms of a matrix A

a Find the slope of the line and b interpret the slope CO 13 Ay

Write each of the following expressions in simplified exponential form b 5 x e 27 2 15 x 3 a X d 12 27y15 3 3 2 a x x Simplify your answer Type your answer using exponential notation 3 5 C 5 3 b X X Simplify your answer Type your answer using exponential notation 3 7 c x 3 C X Simplify your answer Type your answer using exponential notation d 12 27y15 Simplify your answer Type your answer using exponential notation

Suppose a principal of 10 000 is compounded a annually b quarterly c monthly d weekly and e daily at a per annum interest rate of 6 Generate a table of the corresponding effective interest rates ruond to 3 decimal places Compounding Period a Annual Compounding bQuarterly Compounding cMonthly Compounding d Weekly Compounding Daily Compounding Nominal Interest Rate 6 6 6 6 6 Efective interest rate Number Number Number Number Number

Complete the table for the given polynomial 4x3 3 1x 3x 7 Complete the table on the right BECOR

For the parabola graphed below mark the vertex with a dot and graph the axis of symmetry Next write the coordinates of the vertex and the equation for the vertex below the graph Also identify if the graph has a maximum or minimum 10 9 8 7 39 Clear All Draw 10 9 8 6 5 4 3 2 1 N 2 34 44 54 6 7 8 9 10 What is the coordinate point of the vertex 5 4 Does the function have a minimum or maximum minimum O maximum

Trisha solved the following equation using the quadratic formula 5x 29x 6 0 She made a mistake in her solution Identify the mistake Trisha s solution X 29 292 4 5 6 2 5 X 29 841 120 10 The denominator should be 2 instead of 10 X 29 721 10

Use algebraic techniques to rewrite y 4x 2x 2 as a sum or difference then find y Answer Correct

Homework Unit 3 BASM 3 4 2 application probs one unknow Translate the following sentence into an equation Then solve the equation Four times a number added to 9 is 33 Find the number Translate the sentence into an equation 4x 9 33 Type an equation using x as the variable Do not simplify The unknown number is

Given Csc and 5 O2 and 4 45 and 5 and 4 13 2 3 3 T find the values of angle if 0 0 2

data set is shown in the table The line of best fit modeling the data is y 2 69x 7 95 X 1 2 3 4 5 y 5 1 3 2 1 0 2 3 5 6 What is the residual value when x 3 O 0 88 0 12 0 O 0 12 0 88

Given that the solution set to a system of three linear equations is a line which of the following is true about the system O The system can be either inconsistent or consistent O The system can be either independent or dependent O The system can only be independent and consistent O The system can only be dependent and consistent

The chart represents a data set s given values predicted values using a line of best fit for the data and residual values X 1 2 3 4 Given 6 12 13 20 Predicted 7 11 15 19 Residual 1 g h Which are the missing residual values O g 2 and h 1 Og 28 and h 39 O g 2 and h 1 Og 28 and h 39

For the piecewise linear function find a f 3 b f 2 c f 0 d f 3 and e f 5 2x if x 2 x 2 if x 2 f x a f 3 6 b f 2

What are the values of m and in the diagram below 37 2 0 1 0 1 30 2 0 2 m 1 0

If angle B measures 25 what is the approximate perimeter of the triangle below A C O 10 3 units O 11 8 units 22 1 units 25 2 units B

The height h in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of time t in seconds X be modeled by the equation h 15cos 20 How long does it take for the waterwheel to complete one turn 5 seconds 10 seconds 20 seconds O 40 seconds

Do not use a calculator on this section 17 Determine the inverse of f x and then use it to determine the range of f x Answers should show a possibility for the inverse and range 5 Points F x 2x 1 x 3 1 3x 2 x Of Of 2 and the range of f is U 1 7 Of 1 2 and the range of f is 3 U 3 3 x and the range of f is 2 U 2 00 Of 1 3 and the range is 2 U 2 0 2 x I don t know

Use the currency exchange rates in the table for the following question Gasoline sells for 1 70 euros per liter in Madrid What is the price in US dollars per gallon 1 gal 3785 L The price is per gallon Round to two decimal places as needed Currency British pound Canadian dollar European euro Japanese yen Mexican peso Dollars per Foreign 1 356 0 7828 1225 0 009694 0 05035 Foreign per Dollar 0 7376 1 277 0 8165 103 2 19 86

50 5265 1 14 2923 17188 represents the percentage of households that own a tablet computer t The logistic model P years since 2014 Complete parts a through d

a shape that represents 1 3 Question 5 2 points If the following octagon represents 4 3 draw a shape that represents 1 3