Quadratic equations Questions and Answers

On January 1 Year 1 Strang Incorporated issued bonds with a face value of 500 000 a stated rate of interest of 8 and a 5 year term to maturity The effective rate of Interest was 10 Interest is payable in cash on June and December 31 of each year Which of the following statements is true Multiple Choice This bond was issued at a premium and each semiannual cash payment is 25 000 This bond was issued at a discount and each semiannual cash payment is 20 000 This bond was issued at a discount and the annual Interest expense is 40 000 This bond was issued at a premium and the annual Interest expense is 40 000

Choose the inverse of the function shown Y A 5 4 3 2 1 2 2 X

The graph of a function g x is shown below What is the range of g x AY 10 8 6 El 10 of 6 466 8 7x 4 6 8 10 O All real numbers greater than or equal to 0 All real numbers less than or equal to 0 O All real numbers O All real numbers greater than 0

Below is the graph of f x x 5 Which point is on the graph of the inverse relation AY O 0 5 O 5 0 O 2 1 O 1 4 that LA 3 4 5 XA

Depletion of a natural resource is usually calculated using the straight line basis True or False

For a company that uses the perpetual Inventory system a physical count of the Inventory can reveal the amount of Inventory shrinkage the company has experienced True or False True Ipany that uses the perpetual Inventory False

31 TB TF Qu 02 204 Static The bankruptcles of Enron and World Com both The bankruptcies of Enron and WorldCom both indicated the occurrence of major audit failures True or False True False

2 29 46 Which type of accounting information is intended to satisfy the needs of external users of accounting Information Multiple Choice Cost accounting Managerial accounting Tax accounting Financial accounting

Given f x and g x as shown in the graphs below fog 2 5 4 3 2 AY 10 B 6 T 6 8 3 f x g x entio 5

For each solid Don t forget units A B i 17 in ii iii Draw a net and find the surface area Find the volume of the solid 2 kd 15 ft 9 ft L 5 yd 12 ft 16 in 7 ft 4 yd 15 in 5 yd

DISTANCE BETWEEN TWU POINTS GERE Practice 1 Plot and label the following points on the coordinate plane A 1 3 B 4 2 C 3 3 D 2 6 E 2 5 F 3 6 Find the distance between each set of points Show your work If you used a calculator show what you put into the calculator 1 A and F 2 C and B 3 E and B 4 D and F 5 A and E C YA 16 6 5 4 3 2 1 W 5 4 3 2 11 0 1 2 3 A 11 4 5 7 2 4 and 4 9 2 3 B Find the distance between each set of points Show your work If you used a calculator show what you put into the calculator 6 1 5 3 and 2 4 8 8 0 5 and 1 2 5 4 5 6

O X are the factors of x 5x 2x 24 4 x 3 x 2 O 1 x 4 x 6 O x 1 x 4 x 6 O x 4 x 3 x 2 QUESTION 8 What are the factors of 2x4 4x3 29x2 2x 15 O O x 2 x 4 x 15 x 2 2x 1 2x 1 x 5 x 3 O 2x 1 x 5 x 3 O 2x 1 x 3 x 5 O QUESTION 9 What are the factors of x4 2x3 9x2 2x 8 O x 4 x 1 x 1 x 2 x 2 x 1 x 1 x 4 x 4 x 2 x 9 x 8

List the possible rational roots of f using the rational root theorem f x 3x5 2x 3x 2 O 1 2 1 3 3 2 O 1 12 13 1 2 1 3 O 1 2 1 3 2 3 O 1 2 3 2 3 3 2 QUESTION 4 Find all the roots of the function f x x 4x 3x 6 O 9 1 3 3 33 2 MIN 1 1 33 5 2 3 15

Factor the polynomial completely given that f 3 0 f x x 6x 11x 6 O x 3 x 1 x 2 O x 3 x 1 x 2 O x 3 x 1 x 2 O x 3 x 6 11x 6

BIUS X X D QUESTION 6 Paragraph STT TT Arial ABC

Graph the system on your own graph paper First decide which of the four graphs below shows the correct lines dotted solid and then click the number for any region s on that graph should be shaded for the solution If no regions should be shaded click No Solution y x 2 ly x 1 5 4 3 2 4 12 3 9 4 3 2 11 23 4 54 3 ON T S INDT 43254 2 4 2 2 3 4 5 10 12 12 5 4 3 2 8 5 16 7 13 5 4 3 2 15 54 3 2 1 34 S 2 3 4 3221 2 1 2 3 4 1 5 6 1 2 3 4 5 14 Select all regions that should be shaded If no regions should be shaded select No Solution 10 11 1 2 3 4 5 6 7 8 9 10 11 0000000000 13 14 15 16 No Solution 200

Find the equation in terms of a of the line through the points 2 4 and 1 5 Y

equat a Complete the table X 0 y 0 b Plot the two points you found in the table 6 5 4 3 2 1 6 5 4 3 2 1 1 2 3 5 6 Clear All Draw Dot 1 2 3 4 5 6

Factor over the set of complex numbers 4 3x 4 x x 1 x 1 x 1 x x 1 x 1 x 2i x 2i 1 x 1 x 2 x 2 1 x 1 x 2 x 2 O O x O x 1 x 2i x 21

Maria experiences shipping clerk can fill a certain order in 9 hours Tom a new clerk needs 11 hours to do the same job Working together how long will it take to fill the order

What is the domain of f x x What is the domain of f x 3x 10 2

an arc of circle measures 30 centimeters and the radius measures 10 centimeters in radians what is the measure of the central angle subtends the arc

Use the graphs of f and g to evaluate the function 34f x 7 g x 3 2 324 2 14 0 20 04 65 fog 3 O 3 4 5 KA W169 5 4 B 0 3 2 11 1 2 3 4 5 X

Write an equation for the function that is described by the following characteristics the shape of f x x but reflected in the y axis moved eight units down O g x x 8 O g x x 8 O g x x 8 O g x x 8 O g x x 8

Find f g x f x O 4x 3x 7 f g x O f g x 4x 8 2x 7 4x 31 3x 7 f g x f g x g x 4x 17 3x 7 f g x x 100 8 42242 56 3x 7x 4224x 56 3x2 7x

Find the inverse function of f f x x 6 O f x x 6 O f x x 6 O f x x 6 O f x x 6 0f x x 6

Use the graph below to answer the following Use U in between two intervals Enter two lowercase o s oo for infinity 4 2 A The graph is increasing on the open interval s B The graph is decreasing on the open interval s

An object released from 12 feet below the surface of the water ascends to the surface according to the graph below Find the domain and range of the graph that makes sense for the problem Express your answer in interval notation 10 15 The domain is

Use the graph to answer the following A f 3 B Find a such that f x 1 x

A rocket is launched upward Its height h t in feet after t seconds is modeled by the function h t 80t 16t What is the domain of h t OA all real numbers greater than 0 B all real numbers greater than 0 and less than 5 OC all real numbers greater than 0 and less than 16 OD all real numbers greater than 0 and less than or equal to 5 E all real numbers greater than 0 and less than or equal to 16

Choose the expression that is equivalent to x 3x 4 in each of the tables Then choose the property that is revealed by each of the equivalent expressions Equivalent Expression x 4 x 1 x 1 x 4 Equivalent Expression x 2 25 4 x 2 25 4 Property Revealed Zeros Minimum Zeros Maximum Property Revealed Minimum Maximum

The populations of two bacteria colonies are shown on the graph Colony 1 is represented by the function f x x and Colony 2 is represented by the function g x 2 where x represents the time in months Bacteria thousands ya 30 25 20 15 10 5 0 g x months f x 2 3 4 Time months After how many months will Colony 2 always have more bacteria than Colony 1 Enter the answer in the box 5 X

Find the midpoint of the line segment joining the points R 4 3 and S 3 6 The midpoint is Type an ordered pair Use integers or simplified fractions for any numbers in the expression

Evaluate the exact value of the following expression Answer cosine and cosecant of R4

K Find the average rate of change of the function f x 8x from x 0 to x 3 The average rate of change is Simplify your answer

K What is the slope of a line that is perpendicular to the line whose equation is Ax By C 0 A 0 and B 0 The slope of the line perpendicular to the line Ax By C 0 is

the problems When you have finished submit this assignment to your teacher by the due date for full core of 20 pointe lossus Ferris wheel debuted at the 1984 New Orleans World s Fair The ride is 180 ft tall and passengers he ride at an initial height of 15 ft above the ground The height above ground h of a passenger on the a periodic function of time t The graph displays the height above ground of the last passenger to board e course of the 15 min ride 80 60 40 20 00 30 60 0 10 3 4 Height of Passenger in Ferris Wheel 5 1 9 Time of operation min 10 11 12 13 14 15 on model 82 5 cos 3 97 5 where is the height of the passenger above the ground in feet and it is the time of operation of the ride in minutes Answer b What is the position of that passenger when the ride ends I

K Evaluate the piecewise function at the given values of the independent variable f x a f 3 b f 0 c f 4 a f 3 5x 3 2x 7 if x 0 if x 20

Use the graph to determine a open intervals on which the function is increasing if any b open intervals on which the function is decreasing if any e open intervals on which the function is constant if any 07 a Select the correct choice below and if necessary fill in the answer box to complete your choice A The function is increasing on the interval e co Type your answer in interval notation Use a comma to separate answers as needed B There is no interval on which the function is increasing b Belect the correct choice below and if necessary fill in the answer box to complete your choice OA The function is decreasing on the interval Type your answer in interval notation Use a comma to separate answers as needed B There is no interval on which the function is decreasing

Write the point slope form of the line s equation satisfying the given conditions Then use the point slope form of the equation to write the slope intercept form of the equation Slope 2 passing through 5 4 What is the point slope form of the equation of the line y 4 2 x 5 Simplify your answer Use integers or fractions for any numbers in the equation What is the slope intercept form of the equation of the line Simplify your answer Use integers or fractions for any numbers in the equation

1 Homework and Type the point slope form of the equation of the line Part 1 of 2 Write the point slope form of the line satisfying the given conditions Then use the point slope form of the equation to write the slope intercept form of the equation Passing through 1 3 and 3 9 Simplify your answer Use integers or fractions for any number in the equation O Points 0 of 2 CHILD

For the function f x 4x 7 evaluate and simplify f x h f x h

Find the measure of the supplement of a 67 O The measure of the supplement of a 67 angle is Simplify your answer Type an integer or a decimal

Compute the discriminant Then determine the number and type of solutions of the given equation 9x 2x 9 0 What is the discriminant Simplify your answer Choose the sentence that describes the number and type of solutions of the quadratic equation OA There are two imaginary solutions B There are two unequal real solutions C There is one real solution D There are an infinite number of real solutions

Given that ZEFG is a right angle find x X Type an integer or a decimal x 17 X

Use the number lines shown to determine if the pair of segments is congruen q p 0 t Are the segments congruent No Yes 2

Graph the trigonometric function 1 3 Start by drawing three consecutive asymptotes Then plot two points one on each side of the second asymptote Finally click on the graph a function button y CSC 4x A 1 X

If ST 11 and RT 51 find RS Use the number line below R RS Type an integer or a decimal

the product of 3 and the sum of r and 20 4 less than c raised to the 4th power Education com 16 twice the result of n decreased by 10 divide 17 by the sum of d and 9 Find worksheets games lessons more at education com resources 2007 2023 Education com

Objective In this lesson you will learn how to find inverse functions graphically and algebraical a Find the inverse function off b graph both fand f on the same set of coordinate axes c descri relationship between the graphs of fand f d state the domain and range of fand f and verify th inverses 1 f x 2x 3