Algebra Questions

If A is a 3 x 3 matrix such that det A 3 then det A2 6 Select one O True O False

If A is a 4x4 matrix A such that det A 2 then det 2A 1 Select one True False

15 2x 124 X 16 x 1 6 4x 17 2x x 1

22 min a b c 4a 5b 7b 4p 23 6x 5y 5z 2y TE Yan t The Answer is 41 Yan t The Answer is 57

Let v 1 3 0 6 2 Then there exists a vector w such that w 1 and v 1 v w and there exists a vector u such that u 1 1 and v v u Then w 5 and u 4 The number of different w that do the above trick is Note If the number is infinite write X in the space and the number of different u that do the trick is

5 pts 2 Find the exact value of the remaining trig functions of 0 Write answer as a simp fraction simplified radical and rationalize the denominator if needed Sin 0 5 13 9 T 2 0 T

15 In the equations above a and b are constants If a is b minus 3 which of the following is true A x is y minus 0 5 5x 2a 2x 3 x is y minus 1 5x 2x 2a 3 is y minus 2 3x 2a 3 B 5x 2a 2x 3 5y 2b 2y 3 C D x is y plus 3 5y 26 2j 3 Sy 2 26 3 3y 26 3 a 6 3

y 2x 9 Which of the following consists of the x coordinates of all the points that satisfy the system of inequalities above A 12 B x 3 C x 3 D x 6

Part 2 of 2 Rewrite the function to make it easy to graph using transformations of its parent function Describe the graph y 4x 20 4 y 2 x 5 4 Simplify your answer The graph vertically by a factor of and is translated unit s to the BEZD and unit s

Rewrite the following radical function to identify its transformations from the parent graph f x 8x 24 Type a whole number j B The given function is stretched vertically by a factor of 2 from the parent function Type a whole number OC There is no stretch or compression Describe any horizontal translation Select the correct choice below and if necessary fill in the answer box within your choice unit s to the right from the parent function OA The given function is translated Type a whole number OB The given function is translated Type a whole number OC There is no horizontal translation www unit s to the left from the parent function

Helena is trying to write a radical function that is represented by the graph shown here Describe and correct the error Helena made in writing the radical function f x x 1 X Helena did not correctly account for the vertical stretch The correct function is f x vertical translation Ay s O OU

Rewrite the following radical function to identify its transformations from the parent graph f x 8x 24 Rewrite the function so that its transformations can be identified f x 2 x 3 Describe any vertical stretch or compression Select the correct choice below and if necessary fill in the answer box within your choice O A The given function is compressed vertically by a factor of from the parent function Type a whole number OB The given function is stretched vertically by a factor of Type a whole number OC There is no stretch or compression from the parent function

Part 1 of 2 Rewrite the function to make it easy to graph using transformations of its parent function Describe the graph y 25x 75 y Simplify your answer C

Given the following equation f x 3 2 and the table 5 4 3 2 1 0 1 2 g x 30 14 6 2 0 1 1 5 1 75 Select which of the following statements are true X The y intercept of f x is 4 above the y intercept of g x g x f x on the interval 4 1 Of x is increasing and g x is decreasing over the entire domain The x intercept off x is 2 to the right of the x intercept of g x The x intercept off x is 2 to the left of the x intercept of g x The y intercept of f x is the same as the y intercermof g x

Use the equations represented in the graph to find the point of intersection The point of intersection is Type an ordered pair Type an integer or a simplified fraction 8 12 6 y 10 y 7 VI d

Solve 7x 35 Select the correct choice below and if necessary fill in the answer box to complete your choice OA The solution s is are x Type an integer or a simplified fraction Use a comma to separate answers as needed OB There is no solution

Given that f x 2x 1 and g x 1 x find the composition function fog x f g x expression f g x expression fog x expression fog 2 Enter your solution as a fully simplified Enter your solution as a fully simplified Enter your solution as a fully simplified Simplify your solution completely

What radical function is represented in the graph f x Simplify your answer 3 Ay 21 1 2 X U

Part 1 of 4 Rewrite the following radical function to identify its transformations from the parent graph f x 8x 8x 8 Rewrite the function so that its transformations can be identified f x GEN

TO Answer Attempt 1 out of 2 se the expression below Then compute and or simplify 5y5y 5y 5y 5y Type the base then use the a button or type the symbol on your keyboard for the exponent A Condensed form 96

Create a new post where you analyze two functions over an interval a Create two functions using the following guidelines 1 one is represented as an equation one as a table ii key features including intercepts maxima minimum and average rates of change can be found from the functions you create iii the functions must be quadratic exponential radical or cubic functions b Choose an interval over which to analyze and compare the two functions 1 State the interval you are using ii Compare the intercepts of the two functions lii Compare the maxima and minima of the two functions iv Compare the average rates of change of the two functions 2 Choose another student s functions to review Comment on whether you think the student s comparisons are correct Be sure to include calculations or other reasoning to support your answer

Use exponents to condense the expression below a b b b c C C C C C Answer Attempt 1 out of 2 Type the base then use the a button or use the symbol on your keyboard for the expone Condensed form

Write the function shown in the graph to the right Write the function that describes the graph above Simplify your answer y X C

Use the graph to determine a the function s domain b the function s range c the x intercepts if any d the y intercept if any and e the missing function value indicated by the question mark y to 5 X 110

Determine if the relation defines y as a function of x 3 1 2 3 Yes this relation defines y as a function of x No this relation does not define y as a function of x

Thickness measurements of ancient prehistoric Native American pot shards discovered in a certain village are approximately normally distributed with a mean of 5 3 millimeters mm and a standard deviation of 0 7 mm For a randomly found shard fin the following probabilities Round your answers to four decimal places USE SALT a the thickness is less than 3 0 mm 0 0004 b the thickness is more than 7 0 mm c the thickness is between 3 0 mm and 7 0 mm

Find z such that 4 8 of the standard normal curve lies to the right of z Round your answer to two decimal places LUSE SALT Z X

Using colored pens or pencils show how 2 chromosomes are passed from the mother cell to the two daughter cells O 0 8

Use exponents to condense the expression below Answer Attempt 1 out of 2 a c c Show Type the base then use the a button or use the symbol on your keyboard for the expon Condensed form Ta

Use exponents to condense the expression below Answer Attempt 1 out of 2 a c c Type the base then use the a button or use the symbol on your keyboard for the exponer Condensed form a

tiplication to expand the expression below Then compute and or simplify 4c Answer Attempt 1 out of 2 Press the button or type the symbol on your keyboard to represent multiplication Using x for multiplication is inappropriate when x may be used as a variable For the answer type the base then use the a button or type the symbol for an exponent Expanded form

Divide 10 4 511 2 11 Select the correct choice below and fill in any answer boxes in your choice O A 10 4 571 211 11 Simplify your answer Type a whole number fraction or mixed number OB The quotient is undefined

10 50 2 25 7 2

Find the least positive value of 0 sec 50 2 1 cos 60 6

through the given point and are parallel to and perpendicular to the given line v 9 0 4 5

Krisha can pick 4 pounds of coffee beans in an hour or gather 2 pounds of nuts Tom can pick 2 pounds of coffee beans in an hour or gather 4 pounds of nuts Each works 6 hours per day Assume that Tom and Krisha specialize according to their comparative advantage to produce coffee beans and nuts a Suppose that Krisha and Tom could buy or sell coffee beans and nuts in the world market at a price of 2 per pound for coffee beans and 2 per pound for nuts If each person specialized completely in the good for which he or she had a comparative advantage how much could they earn by selling all they produce Tom s earnings plus Krisha s earnings 36 per day b At the prices just described what is the maximum amount of coffee beans Krisha and Tom could buy each day in the world market with the income they earned The maximum amount of nuts Maximum amount of coffee beans that could be bought each day 36 pounds Maximum amount of nuts that could be bought each day 36 pounds wwwwwwwwwww Using the world market and the prices described above would it be possible for Krisha and Tom to consume 40 pounds of nuts and 8 pounds of coffee beans each day Yes c In light of their ability to buy and sell in world markets at the stated prices on the same graph as their PPC show all of the combinations of the two goods it would be possible for them to consume This is also known as their consumption possibilities curve

Point slope form Complete the point slope equation of the line through 2 6 and 1 1 Use exact numbers y 6

Equation 30 y 5x 30 23 5x Slope 1 1 5 Point 4 1 X 1 1 X X 261 x 4 y x 912 Equation 2y 1 dry Slope 9 Point 2 15 15 9x 18 9x 18 15 9x13 7 9x 3 y 16 4x 12 y 4x 12 16 Equation 4X 4 6 y 8 1 Slope Point 18 17 17 1 x 18 D Equation Slope 3 3 Point 9 7 37 21 2x 18 3x 2x 18 fal 3Y 3 2X 39

Use your Transformations Reference Sheet to follow the rules 1 3 5 7 Reflection across the x axis A V 5 4 3 2 2 8 7 6 5 4 3 2 1 D H 2 1 G Reflection across the line x 3 AY G D X 3 4 5 2 Reflection Across the y axis YA X X 2 4 6 8 Reflection across the line y 5 AV Reflection across the line y x AV K 5 4 3 2 41 1 1 3 4 21 Reflection Across Line y x YA X Reflection Across the line x 1 Reflection across the line y 1 YA AV I k 432 4 3 2 1 2 3 4 X X

18 8 3 a 19 m 3 10 Yan t The Answer is Yan t The Answer Yan t The Answe

Write your response in interval notation using the symbol U when necessary 8 7 6 2 5 4 3 2 1 8 7 6 5 4 3 2 1 0 1 Y 1 2 3 4 5 6 7 8

of luck you got this 1 NASA can create a weightless environment by flying a plane in parabolic paths The height in feet of the plane h after t seconds after the start of the flight path can be represented by h 11t 700t 21 000 Passengers start to feel weightless at 30 800 ft How many seconds after the start of the flight path does this first occur 10 pts

5 Two cars leave an intersection at the same time one heading north and the other heading west Some time later the cars are 150 mi apart If the car heading west travels 40 mi farther than the car going north how far does the car heading north travel Round the answer to the nearest tenth 10 pts 150 mi x 40 mi x mi

4 10 pts Determine the restricted value s and the solution s of the following rational equation 4 6 y 5 y 5 y 25

2 Regina Skyler and Evander own a commercial floor cleaning business Working together they can clean a warehouse floor in 2 hr Working alone Regina can clea the floor in 8 hr and Sklyer can clean the floor in 6 hr How many hours would it take Evander to clean the warehouse floor working alone Enter the answer to the nearest tenth 10 pts

3 10 pts Determine the solution s of the following rational equation x 1 x x 2 2x 1

Given the set A 4 6 4 10 6 1 7 5 3 6 7 3 2 find n A n A

The following refer to the following data set 10 12 5 14 14 13 2 Find each of the following If a requested item does not exist enter DNE without qu marks What is the arithmetic mean of this data set Mean What is the median of this data set Median What is are the mode s of this data set Mode What is the range of this data set Range What is the midrange of this data set Midrange Use the given data to calculate the standard deviation x x

Which of the following is NOT a correct use of an ellipsis O 1 2 3 100 O 1 2 3 4 5 O 1 2 3 O 2 1 0 1 2

Match each expression concerning the set B x x E N and x 20 on the left with the best match on the right B a a EN and a 20 B 20 21 22 n B a DNE b Set builder Notation c Roster Notation d 20 e 3 f The set of all natural numbers g 0