Complex numbers Questions and Answers

Suze paid a total of 324 for x tickets to a concert Write an expression for the cost of ticket

7 If 3x 4y 2z evaluate the expression if x 2 y 3 and z 5 3 2 4 3 2 5 4 12

4 A tutoring company charges 17 per hour for its services If h is the number of hours a customer receives tutoring what is the total cost in dollars of tutoring e h 17 a h 17 b h 17 17 h d 17h

3 What is the value of twice x increased by three times y if x 3 and y 4 a 15 6 12 18 d 72

2 What is the value of 2x 4y if x 2 and y 37 a 16 b 8 85 c 8 d 16

10 Explain how the graph of the function f x can be obtained from the graph of y Then graph f and give the a domain x and b range Determine the largest open intervals of the domain over which the function is c increasing or d decreasing 1 To obtain the graph of f stretch the graph of y Graph the function f x AY Q 10 Choose the correct graph below B a The domain of f x is Type your answer in interval notation vertically Ay Q by a factor of 10 and reflect it across the x axis Ay G O D

1 At a bakery each batch of cookies requires 2 cups of flour and each batch of cupcakes requires 3 cups of flour Write an expression for the amount of flour required for x batches of cookies and y batches of cupcakes a 6xy b 3x 2y c 2x 3y d 5 x y

Find projwv Then decompose v into two vectors v1 and v2 where v1 is parallel to and v2 is orthogonal to w 6 V 31 21 w 21 i

7 ving equations with any method discussed in class Round decimals to the tenth 7 x 4 42 0 4x 19x 12 0 10 x 7x 30 x 6x 12 0

Evaluate each expression using the values given in the table 1 2 X f x g x a fog 1 d gof 3 a fog 1 b fog 2 c gof 2 d gof 3 e gog 1 f fof 3 3 9 6 2 7 2 5 0 0 3 2 b fog 2 e gog 1 1 1 0 1 2 3 3 6 c gof 2 f fof 3

Question Details Find an expression for the perimeter of the figure 2 lo y 1 2 y 2 y y 1

nd an equation for the rational function graphed below Ay 5 4 3 543 ON 2 1 4 NO 2 5 4 5 62 S f x

3x 5x 12

1 Let f be the function whose graph is obtained by translating the graph of y to the left 3 units and down 2 units a Write an equation for f x as a quotient of two polynomials b Determine the zero s of f c Identify the asymptotes of the graph of f x a f x Simplify your answer

Use the graphs of the rational functions in A to D on the right to answer the question Give all possible answers as there may be more than one correct choice Which choices have the x axis as a horizontal asymptote Select all the graphs that apply Graph A Graph C Graph B Graph D A B C D 12 12 12 12 12 12 12 12 12 12 12 12 12 Q N Q M

The comprehensive graph of a polynomial function y f x is shown How many real zeros does the function f have The function hasrat roma E 12 Ay 150 150 12 Q

11 Show the solution to the following system FOLLOW DIRECTIONS ON DRAWING y 7 y x 2 y 2x Show Your Work

Estimating mean for known and unknown o for normal distributions 8 1 and 2 a Striped whales have an approximate normal distribution of the miles they swim each day If the standard deviation for the population is unknown find the confidence interval if a random sample of 100 striped whales distances swam in one day was 7 620 miles The sum of the squares of these distances was 582 000 Use a confidence level of 90

Determine whether or not the sentence is a statement Help Choose the correct answer below A The sentence is not a statement because it is a command which is not clearly true or false B The sentence is a statement because it represents something that a person would say C The sentence is a statement because it starts with a capital letter and ends with a punctuation mark D The sentence is not a statement because it is true and false simultaneously

Next question The statement listed below is false Let p represent the statement p That plant became extinct in 1627 Express the symbolic statement p in words What can be concluded about the resulting verbal statement In words the symbolic statement p is A The population of that plant grew in 1627 B That plant is not extinct C It is true that the plant became extinct in 1627 O D That plant did not become extinct in 1627 S

The table of values forms a quadratic function f x x f x 1 24 0 1 2 3 4 5 30 32 30 24 14 0 What is the equation that represents f x Of x 2x 4x 30 Of x 2x 4x 30 Of x x 2x 15 Of x x 2x 15

Which of the following is a factor of 6x 17x 12 3x 4 O 2x 4 3x 3

Which of the following is a solution of x 8x 27 O 4 i 11 O4 11 O 4 i 44 O 04 1 44

Factor completely 25x 36 O 5x 6 5x 6 O 5x 6 5x 6 O 6x 5 6x 5 O 6x 5 6x 5

Of the following which is the solution to 2x 5x 8 O 5 ti 39 4 5 39 4 5 i 39 2 5 ti 192

Which is a factor of 15xy 45x 6y 18 Oy 2 O 5x 3 O 5x 2 Oy 6

Factor completely 5x2 50x 120 O5 x 3 x 8 O 5x 15 x 8 O x 4 5x 30 05 x 4 x 6

Determine whether or not the sentence is a statement Jonathan will meet Dana at 8 00 Is the given sentence a statement O O O No because it is a command It cannot be determined with further information No because it could be labeled as true or false Yes because it could be labeled as true or false quest estion

Find the mA ENTER A NUMBER ONLY A 2x 135 2x 5

Find functions f and g so that fog H H x 4x 6 Choose the correct pair of functions O A f x x g x x 6 4 B f x 6 g x x 4 OC f x x g x 4x 6 O D f x 4x 6 g x x

if x 5 3a Three times the sum of 8 and x 3b Evaluate if x 3 3c Evaluate if x 10

10 Evaluate if x 10 1C Evaluate if x 2 acredion 1d Evaluate if x equals one half

5 points If f z 22 1 and g z z 1 then the product f g 22 2 z 1 True False and its domain is all real numbers

Evaluate each of the following a 97 i

Let g x f 2x 1 1 Find the domain And range of g x 3 2 1 f x a 4 points Compute f f f 4 0 2 1 2 b 5 points Find the domain and range of f x 3 I c 5 points Let g x f 2x 1 1 Find the domain and range of g

The speeds of cars on a road are approximately normally distributed with a mean a What is the probability that a randomly selected car is going between 61 and 66 km hr Round your answer to four decimal places P eTextbook and Media 58 km hr and standard deviation 6 4 km hr b What fraction of all cars are going slower than 51 km hr Dound your answer to three decimal places

Solve the following logarithmic equation log x 3 0 027 004 0 013 001

Simplify the following logarithmic expression using the Laws of Logarithms log 6x log 2x log3 log4x O log4 log12x

Solve the following exponential equation 5 20 3 4 093 1 07 1 86

What are the vertical asymptotes of the following rational function x 3 y 2 9 x 3 x 9 x 3 Ox 3 and x 3

Describe the end behavior of the right side of the function f x x 2x 7 y approaches infinity as x approaches infinity y approaches infinity as x approaches negative infinity y approaches negative infinity as x approaches negative infinity y approaches negative infinity as x approaches infinity

Use long division or synthetic division to divide the following polynomials 2x x 2x 1 x 2

Use long division or synthetic division to divide the following polynomials x 2x2 x 5 x 1

3 What is the value of twice x increased by three times y if x 3 and y 4 a 15 b 17 c 18

Find the zeros of the following function f x x 7x 12x

Solve the following quadratic function to find the x intercepts f x x 6x 9 x 5 and 1 Ox 3 and 3 x 3 x 9 and 6

What is the vertex of the following function f x x 4x 3 2 1 4 3 1 4 4 3

Exit Ticket 11 6 Which of the following is an expression that represents The sum of twice x and 10 a 2x 10 b 2 x 10 c 2x 10 d 2 x 10

2 If y 8 what is the value of four times the quotient of y and 2

2 For f x x and g x x 4 find the following composite functions and state the domain of each a fog b gof c fof d gog c f of x Simplify your answer Select the correct choice below and fill in any answer boxes within your choice O A The domain off of is x Type an inequality Use integers or fractions for any numbers in the expression Use a comma to separate answers as needed O B The domain of f of is all real numbers d gog x Simplify your answer Select the correct choice below and fill in any answer boxes within your choice O A The domain of g og is x Type an inequality Use integers or fractions for any numbers in the expression Use a comma to separate answers as needed