Complex numbers Questions and Answers

11 Answer the following given the equation PART A State the excluded values domain restrictions IF Enter answers in order Least to GREATEST For the SECOND excluded value if there is none then type in 9999 7 PART B State the LEAST Common Denominator LCD PART C Solve 6 22 13x 42

Connor can decorate his house with holiday lights in 6 hours His sister Kristi can decorate the house in only 5 hours How long will it take both of them to decorate the house if they work together Use complete sentences to explain how you would set up the problem and solve BiU X X CO M EET A

Question 10 15 V Algebraically solve for x 7 1 2x 4 2 2 1

9 If f x 1 2x 4 A find the domain of f A None of these answers are correct B 2 U 2 00 2 U 2 4 U 4 00 4 U 4

h x x 5x 6 Vertex Axis of symmetry Min Max circle one Domain Range 4 h x x 3 x 2 Vertex Axis of symmetry Min Max circle one Domain Range

R 0 75 T What one is the value of STP as per the figure DB 20 70 6 76 90 104 190 Parallelogram inscribed in a circle

14 Find mZGOR 161 2 0 G 3x 2 100 S R

Solve the right triangles given the following information ZB 40 1 2 4 b 20 cm 3 ZA 72 5 ZB 72 b 15 cm b 30 cm ZB 62 a 12 cm ZA 58 b 22 cm

1 point Write an equation that represents the graph below by using transformations from y 6 x

actice Is the relationship between the values in each table a direct variation an inverse variation or neither Write equations to model the direct and inverse variations 6 3 15 622 8 10 50 110 7 10 z 1 when y 11 13 x 1 when y 5 16 x 20 when y 4 357 10 5 14 8 4 00504 6 8 Suppose that and y vary inversely Write a function that models each inverse variation Graph the function and find y when x 10 11 13 when y 100 14 x 12 when y 3 17 x 5 when y 0 5 1 21 42 35 7 11 22 a Write an equi b What volume is needed to store 5 moles or e 19 Fundraising In a bake sale you recorded the number of muffins sold and the amount of sales in a table as shown a What is a function that relates the sales and the number of muffins b How many muffins would you have to sell to make at least 250 00 in sales under the pressure 190 kPA c A 10 L cylinder is filled with hydrogen gas to a pressure of 5 000 KPA The temperature of gas is 300 K How many moles of hydrogen gas are in the cylinder 6 7 Write the function that models each variation Find zwhen x 4 and y 9 26 z varies directly with x and inversely with y When x 6 and y 2 z 15 2 and y 3 z 60 27 z varies jointly with x and y When x 28 z varies inversely with the product of x and y When x 2 and y 4 z 0 5 Each pair of values is from a direct variation Find the missing value 29 2 5 4 y 30 4 6 x 3 31 3 7 8 y Each ordered pair is from an inverse variation Find the constant of variation 33 6 3 34 0 9 4 35 3 12 x 1 when y 1 15 x 2 5 when y 100 18 0 1 3 36 See Problem 1 6 24 175 00 186 70 0 05 0 0125 See Problem 2 when y 105 See Problem 3 Number of muffins m 5 8 13 20 Sales s 12 50 20 00 32 50 50 00 80 75 32 x 12 4 1 5 36 V2 V18

If cotB 12 5 and B is in the second quadrant find the value of cos 2 B sin 2 B

Consider the following polynomial function f x x 2 x 3 Step 3 of 3 Find the zero s at which f flattens out Express the zero s as ordered pair s Answer Select the number of zero s at which f flattens out Selecting an option will display any text boxes needed to complete your answer none 01 02 03 Zero s at which f flattens out 04

21 What does x equal in the solution of the system of equations below 3x 4y z 14 2x 3y 3z 17 x 2y z 20 O 10 O 4 O 10 4

18 Since birth Hachiro has had a savings account that has been growing at a rate of 12 per year The amount of money in the account can be modeled by the equation y P 1 12 where y is the value of the account and x is the number of years and P was the original deposit amount How much money is in the account if Hachiro is 80 years old and the original deposit was 3000 O 25975161 44 O 25975449 3 25975147 73 O 25974731 29 None of these is correct

14 i Determine whether the following function is a one to one function 4 2 3 8 1 3 6 7 ii List the set of ordered pairs in the inverse function

Graph the solution set of the system of inequalities x 4y x 5 Use the graphing tool to graph the system Click to enlarge graph

5 Jed is working on a stained glass project and needs to form a triangle with sides of 8 12 and 15 Inches out of lead cane to enclose the glass To the nearest tenth of a degree what is the largest angle they need to create using the lead caning

Identify and graph the polar equatic r 4 4cos theta

Step 1 of 2 Plot the x intercepts if any of the polynomial function on the graph Answer Select the number of x intercepts before plotting You may move a point by dragging Number of x intercepts Onone one two three g x x 3x 2x four 10 5 25 25 E Enable Zoom Pan A

Solve the equation Give an exact solution and al places 5 5x 8 17

Solve the system of equations by using the addition method Write the answer in simplest form 0 25x 0 08y 0 21 0 21x 0 32y 0 05 The solution set is 1 0 5 0 0 0 0 010

Consider the following trig function k t 9 cos 16x 7 15 What is the maximum and minimum values of thi unction Find an angle in 0 Maximum 6 Angles that this occurs Minimum 04 Angloo that this couro

Put the following in a bi form en te in a 2 eri a 4 i 7 6 and b and b

Chapter 10 31 Solve each radical equation a 3 y 18 3 d x 4 b b 7 5 2 e r 19 3 c 2 x 4 16 f 5 10x 15

In this lesson you will learn to graph sine and cosine functions The graphs of sine and cosine functions are related to the graphs of the parent functions y sin x and y cos x which are shown below X y sin x y cos x range 1 sys1 2A 0 1 I 3 T 2 1 0 maximum value 1 3 F 0 1 1 minimum FIN T 1 1 0 y 0 0 1 A y sin x A 2 1 0 3T 2 period 2T 77 2 X 0 1 3 2 1 0 T amplitude 1 277 0 1

2 The volume V of a gas varies directly as the temperature t and inversely as the pressure P At a temperature of 200 and a pressure of 500 mmHG the volume of the gas is 240 cm Find the volume of the gas at a temperature of 275 and a pressure of 400 mmHG

3 Which of the following choices represents a linear function Explain your choice 2 1 3 X y X V 1 2 1 1 2 3 4 4 8 16 2 4 2 3 8 4 4 X 0 y 0 1 X 1 2 3 V 3 6 9 3 5 1 1 T 3 4 5

The population of a certain country in 2000 was 286 million people In addition the population of the country was growing at a rate of 1 0 per year Assuming that this grow represents the population P in millions of people in year t According to this model when will the population of the countr rate continues the model P t 286 1 010 2000 reach each of the following a 321 million people b 353 million people

9 Graph the following inequalitics 4x 2 y 6 y x 2

9 Consider the quadratic equation y x 2x 8 i Determine whether the parabola opens upward or downward ii Determine the y intercept iii Determine the vertex iv Determine the equation of the axis of symmetry v Determine the x intercepts if they exist vi Draw the graph

Simplify 5 10 5 6 Do not use a calculator or round to a decimal Write the exact simplified for

Find the point on the sphere x y 2 3600 that is farthest from the point 30 15 23

Solve the equation for the variable Reduce any fractions to lowest terms If there is no solution say SO 2 3x 5 6 x 2 X There is no real solution X 0 X 2 1 6

7x 8 x 7 2 12

Which vertex listed below could be described as a TRANSMITTER OV O Question 29 2 5 points Is the following statement True or False The graph has an EULER CIRCUIT E

Prev Sophia bought a puppy and has been tracking its weight at the end of each month since it was born She was told by the dog s breeder that the dog should have an adult weight somewhere between 45 and 50 pounds End of Month Answer 2 Points Weight in pounds 1 2 3 4 5 6 7 8 9 10 11 12 Step 2 of 2 How do you interpret the result from the previous step 3 5 10 13 15 20 22 26 32 38 43 46 O The linear model doesn t seem realistic Keypad Keyboard Shortcuts

Ezra is the proud owner of an eclectic bow tie collection He keeps track of how many bow ties he has and organizes them by pattern and material Zigzags Swirls Smiley faces Velvet Cotton 2 3 5 3 6 6 What is the probability that a randomly selected bow tie is made of cotton given that the bow tie is decorated with smiley faces Simplify any fractions

a Show that b 2 n 1 1 n 1 2 n n 1 C 2n 2 2C n 2 n 2 n 2

Consider the following polynomial f x x 7x 2x 40 Step 1 of 3 Use Descartes Rule of Signs to determine the possible number of positive and negative real zeros Be sure to include all possibilities Answer How to enter your answer opens in new window Separate multiple answers with commas Number of Positive Real Zeros Number of Negative Real Zeros K

E m m 00 m m HIN HIN MO HIN H 00 O OOO O

wer p x Fourth degree and a single zero of 3

te the word name for the value of the underlined digit in each whole number For example the value of 2 in 524 is twenty a 3451 b 11 534 c 45 259 d 5 755 965 e 49 432 000 f 268 665 408

uestion Construct a polynomial function with the stated properties Reduce all fractions to lowest terms Answer Correct Third degree with zeros of 5 2 and 4 and a y intercept of 8 p x

Suppose that 99 of all steroid users get a positive test result that the test yields a false positive result 4 of the time and that 9 of the football team members at GSU do not in fact use steroids Hugo Huge gets selected at random to be tested Take E The test gives a positive result F Hugo uses steroids e doing the actual calculation we need to sort out all the information we are given QUIZ P F P E F P EF Check Check Check Clear Clear Peek Peek Clear Peek P F P E FX P E F Peek Peek Clear Peek Clear Check Check Clear Check

28 The mass of a hydrogen atom is approximately 0 00000000000000000000000167 gram Write the mass in scientific notation x 10 DETAILS b g LARMPMT1 5 1 003 Identify all factors of each whole number Enter your answers as a comma separated list a 90 100

Use front end estimation to estimate each difference a 97 19 b c 626 82 577 214

a Write each set using the listing method if necessary Then decide which of the sets are equal A 6 8 10 14 B x x is an even number from 6 through 14 C x x is a number from 6 through 14 and is divisible by 2 Sets A and B are equal Sets A and C are equal Sets B and C are equal Sets A B and C are equal None of these sets are equal to one another Explain your reasoning This answer has not been graded yet b Write each set using the listing method if necessary Then decide which of the sets are equal A x x is a composite number from 10 through 20 B x x is a number from 10 through 20 and is divisible by 2 or 3 C x x is an even number from 10 through 20 Sets A and B are equal

Let f x 6x 5 and g x x 5 6 Show that f and g are inverses of each other

An ad in a local newspaper costs 34 per column inch A column inch is a unit of space that is 1 column wide and 1 inch high as shown below 1 inch I a Find the cost of an ad that is 1 column wide and 4 inches high b Write an expression for the cost of an ad that is 4 columns wide and 5 inches high O 34 4 5 034 4 5 034 4 5 O 34 4 5 34 4 5 34 Find the cost of the ad MINO

2 Graph each function over a one period interval identify the domain and range when india sinx b y 3 cos2x C y tanx d y 1 3 sin 4x e y 2 cot 4x