Quadratic equations Questions and Answers

Wildcat Oil Company has two refineries one located in Houston and the other in Tulsa The Houston refinery ships 60 of ts petroleum to a Chicago distributor and 40 of its petroleum to a Los Angeles distributor The Tulsa refinery ships 30 of its petroleum to the Chicago distributor and 70 of its petroleum to the Los Angeles distributor Assume that over the year the Chicago distributor received 300 000 gal of petroleum and the Los Angeles distributor received 500 000 gal of petroleum Find the amount of petroleum produced at each of Wildcat s refineries Houston gal Tulsa gal

17 Omar has 8 cups of cornmeal How many batches of corn muffins can he make 4 batches 6 batches 16 batches 32 batches DATA Cornmeal Recipes TAIVALDI Item Cornbread Corn Muffins Hush Puppies Amount Needed cup per l r loaf cup per batch cup per batch

A banquet hall offers two types of tables for rent 6 person rectangular tables at a cost of 24 each and 10 person round tables at a cost of 52 each Kell would like to rent the hall for a wedding banquet and needs tables for 250 people The room can have a maximum of 39 tables and the hall only has 15 rectangular tables available How many of each type of table should be rented to minimize cost and what is the minimum cost CELEM The minimum cost is achieved with 6 person rectangular tables and 10 person round tables

3 Built in 2005 the world s largest leather work boot is 16 feet tall A typical men s work boot is foot tall How many times 2 as tall as a typical work boot is the largest boot

K The Family Fine Arts Center charges 24 per adult and 11 per senior citizen for its performances On a recent weekend evening when 537 people paid admission the total receipts were 8 390 How many who paid were senior citizens OA 281 senior citizens OB 346 senior citizens OC 256 senior citizens OD 191 senior citizens

Make Sense and Persevere David made a line plot of how many miles he biked each day for two weeks How many miles did he bike in all xx9 XXX X 10 10 11 XXXX 11 2 2 Miles XXX 12 X 12 1 2

5 Find the zeros for the polynomial function and give the multiplicity for each zero State whether the graph crosses the x axis or touches the x axis and turns around at each zero x 2 5 f x x OA 1 multiplicity 2 crosses the x axis 5 2 multiplicity 5 touches the x axis and turns around OB 1 multiplicity 2 touches the x axis and turns around 5 2 multiplicity 5 crosses the x axis O C O D 1 51 multiplicity 2 crosses the x axis 2 multiplicity 5 touches the x axis and turns around 4 1 15 multiplicity 2 touches the x axis and turns around 5 2 multiplicity 5 crosses the x axis GLEED

The half life of Silicon 32 is 710 years If 80 grams is present now how much will be present in 500 years Round 8 X three decimal Plaus X to three X8 7025 958 SALAS 000 5 1 70 NSCH St

find and simplify the different quoten f x h f xs h o for given function f x x 3x

termine whether sets A and B are equal equivalent both or A is the set of letters in the word bat B is the set of letters in the word tab Choose the description of the pair of sets OA Equal OB Equivalent OC Neither equal nor equivalent O D Both equal and equivalent

A bananas apples apricots B apples mangos apricots bananas Are set A and set B equal equivalent both or neither O Both O Equivalent Neither O Equal

State whether the following statement is true or false If false give the reason A Tale of Two Cities E books written by Ernest Hemingway Choose the correct answer below OA The statement is false because A Tale of Two Cities is a book that was written by Ernest Hemingwa OB The statement is false because the correct statement would be written as follows A Tale of Two Cities E books written by Ernest Hemingway OC The statement is false because A Tale of Two Cities is a book that was written by Charles Dickens OD The statement is true

Determine whether the statement is true or false If false give the reaso 9 1 3 5 7 the statement true or false A False because 9 is not a positive number B False because 9 is in the set 1 3 5 7 OC False because 9 is not in the set 1 3 5 7 OD True

te whether the following statement is true or false If false give the reason sablanca E plays written by Shakespeare Dose the correct answer below A The statement is true B The statement is false because Casablanca is a play written by Shakespeare C The statement is false because the correct statement would be written as follo Casablanca E plays written by Shakespeare D The statement is false because Casablanca is not a play written by Shakespe

K 4 x XEN and x is even Is the statement true or false False True

B 1 2 B is the set of natural numbers less than or equal to

Find the inverse of the one to one function f x 8x 8 OA f x OB f x X 8 8 OD f x y 8 8 O c f x x 8 8 8x 8 8

For the given functions f and g find the indicated composition f x 2x 9 g x 3x 6 gof x OA 6x 33 OB 6x 21 O C 6x 21 OD 6x 33

K the life whose equation is 6x y 2 0 The slope of any line that is parallel to this line is O A OB 1 6 O C 6 and O D 6 and 1 1 and 6 16 6 The slope of any line that is perpendicular to this line is

Solve the equation using the x 5x 2 0 O A OB O C O D 5 17 5 17 2 2 5 17 2 5 17 2 5 33 5 33 2 2 5 17 5 17 10 10

Solve the radical equation and check all proposed solutions 6x 40 x OA OB 4 10 O C 10 OD 8

Solve the equation by factoring x 7x 44 0 O A 11 4 O B 11 1 O C 11 4 OD 11 4

3 Perform the indicated operations and write the result in standard form 36 252 6 OA 6 i 7 OB 6 7 OC 6 i 7 OD 6 i 6

the variable x in the equation shown below 2 7 x 6 51 47 47 11

the trinomial of state that 17x 12 A 7x 4 x 3 B 7x 4 x 3 C 7x 3 x 4 D prime

Express the 3 K 9 x 5 O A O B O C 40x 17 x x 5 40x 17 x 5 x 17x 40 x 5 x 17x 40

y the following 3 x 36 B X 6 3 X 6 3 C X 6 3 X 6 D

Following expressi 6x 30 x 5 5x 6 x 5 5x 6 x 5 5x2 6 x 5 5x2 6

3 Use the GCF Factoring Method to solve each of the quadratic equations below Show all of your work Be sure to write your final solutions using proper notation Verify your answer by graphing Sketch the graph on a good viewing window the vertex vertical intercept and any horizontal intercepts should appear on the screen Mark and label the solutions on your graph a Solve by factoring 4x2 8x 0 b Solve by factoring 9x 6x 0 c Solve by factoring 2x 4x

Choose the correct description of the set A 5 10 15 20 Choose the correct answer below OA A O B A x x is an odd integer OC A x xEN and x is a multiple of 5 OD A x x is a multiple of a natural number and

B x XEN and x is a multiple of 7 moose the correct answer below A B 7 B B 14 21 28 35 O C D O E F G B 14 21 28 35 B 7 14 21 28 B 7 14 21 28 B 7 14 21 28 700 B

Fill in the blank with an appropriate word A set that is not finite is called a n A set that is not finite is called a n set set empty infinite null

1 Use an appropriate factoring method to solve each of the quadratic equations below Show all of your work Be sure to write your final solutions using proper notation Verify your answer by graphing Sketch the graph on a good viewing window the vertex vertical intercept and any horizontal intercepts should appear on the screen Mark and label the solutions on your graph a Solve by factoring 2r 8x b Solve by factoring 3z 28 c Solve by factoring 22 5x 4 2x 9

50 Use change of base formula to calculate log347 A 1 2793 B 1 9852 C 2 4617 D 3 5046

48 Use the change of base formula to find log310 Round your answer to the nearest tenth A 2 0 B 2 1 C 2 2

49 Which of the following is the inverse function of 4 2 3 8 1 3 6 7 A 2 4 3 8 1 3 6 7 B 2 4 8 3 1 3 6 7 C 2 4 8 3 3 1 7 6 D 4 2 3 8 3 1 6 7

46 Which of the following is not an exponential function A f x 5 2 7 B f x 7x C f n 125e0 12n 3 D f x 6 5 X

41 Use vertex form to write the equation of the parabola 14 2 8 64 20 2 A y 6 3 x 2 2 By 3 x 2 2 C y 3 x 2 2 Dy x 2 2 6 X

1 45 Write 2log x logy 3 log z as a single logarithm 2 A log B log x y x 3 Z C log x y z Jog x

44 Find the domain of y log x A 0 00 B 0 00 C 0 00 D e

39 Which of the following is the solution to x 1 0 A 1 1 B 1 C 1 1

38 In the Quadratic Formula x A domain B determinant C discriminant D dividend b b 4ac 2a b 4ac is called the

33 What must be added to x 10x to complete the square A 5 B 25 C 50 D 100

If the sixth term of a geometric sequence is 224 and the eleventh term is 7168 what is the first term

16 Jenny is solving the equation x 8x 9 by completing the square What number should be added to both sides of the equation to complete the square A 2 B 4

13 Find the y intercept and x intercepts for the given quadratic function y x 3x 4 A B C D 0 4 4 0 1 0 4 0 0 4 1 0 0 4 4 0 0 1 0 4 4 0 1 0

14 If i 1 then 4i 6i A 48 B C D 24 24 48

12 Find the coordinates of the vertex of the parabola y 4 x 3 5 A 3 5 B 3 5 C 3 5 D 3 5

11 Which one of the following is the y intercept of y x 2x 8 A 0 6 B 0 7 C 0 8 D 0 9

8 What is the sum of 6 7 and 2 63 A 3 7 B 12 7 6 367