Complex numbers Questions and Answers

For the given function find a f 1 b f 2 a f 1 10 16 FYFISOL

Give ordered pairs that are solutions and graph the equation 3y 4x 12 Complete the ordered pairs so they are solutions to the given equation X V

A P 1 n where A is the accumulated amount after an initial investment of P dollars is invested for t years at annual interest rate 7 compounded n times per year Use the formula above to determine the accumulated amount for each of the following different scenarios Round solutions to the nearest cent Assume there are 365 days in a year If 39 500 is invested for 14 years and earns 10 interest compounded monthly the accumulated amount is A If 16 500 is invested for 26 years and earns 7 interest compounded quarterly the accumulated amount is A If 30 500 is invested for 16 years and earns 3 interest compounded daily the accumulated amount is A If 19 500 is invested for 13 years and earns 6 interest compounded annually the accumulated amount is

1 Simplify the expression and tell whether it represents a real number or a non real number a 144 64 Answer

Which expression is equal to O c c 2 2 c 2 2 c 2 c c 2 2 c 2 c c 2 c c 2 2 c 2 c 4 6c4 15c c 4c 4 12c 30c

A p 1 r t If Francis invests 2 000 into a fund that earns 3 5 interest compounded annually how long will it take for her investment to grow into 12 000 Identify all variables 2 Substitute the numbers into 3 4 s 6 the formula Use steps 4 7 to solve for t Divide by the whole number on both sides Take the in of both sides Expand the right side

In chemistry logarithms are key to calculating the pH of a solution pH log H In this equation H is the hydrogen ion concentration Find the hydrogen ion concentration of a substance with a pH of 7 a 710 b 107 c 10 7 d 107

If f x 2x 9 what is the sum of all values of a for which f x 5 O2 07 09 O 14

2x 5 4 x 1

If 810 1 2 O X O x X O X O X 6 what is the value of x 11 2 11 NANGE

Determine the values of r that satisfy the following inequality 2r 4 16 Drag and drop an answer choice into each empty box below YES NO A r 15 B r 4 C r 5 D r 8

Part A Select the correct solution set for the following inequality x 25 4x 1 0 0 1 8

What is the value of x 2 y 3 X 9 and y 12 O 4 O 2 10 2 whe

1 2m 2m 3 47 2r 5 2k 4k 2 m 2m 3 4 4n 2n 3 1 3 3 6 2x y 2x y

Solve for x 2 O 0 O 2 x 3 2 x 2 x O x O x 2 6 10

Which of the following best describes the steps you would use to solve for x in the equation X 5 3 2 Add 3 to both sides and then divide by 5 1 Multiply both sides by and then add 3 5 Add 3 to both sides and then multiply by 5 Multiply both sides by 5 and then add 3

If 4x 9 16 what is the value 12x 21 O 21 O 96 O 45 O 42

The expression 3 x 3 simplified to O 9x 45 O 9x 27 O 3x O 33 3x 27 6 6x can b

0 027t The 495 million exponential model A 420 8e describes the population A of a country in millions t years after 2003 Use the model to determine when the population of the country will be The population of the country will be 495 million in Round to the nearest year as needed

20 Solve the linear system of equations using the elimination addition multiplication method 6x 2y 6 5x 5y 5 x 2 y 3 Ox 3 y 12 x 4 y 3 x 3 y 6

Graph the equation on paper and then choose the correct graph on the right y X Choose the correct graph www O A O C Ay Ay G 5 O B O D Ay Q

Write the expression as a single function of a cos 90 x Choose the correct answer below O A cos x OB sin x O C OD sin a cos a

9 Convert the following equation to its alternate form standard to slope intercept or vice versa y x 7 O 8x 9y 63 Ox y 7 8x 9y 63 Ox y 7

Using addition and or subtraction with multiplication solve the following for x and y 3x 4y 9 2x 4y 6 O 0 2 O 5 4 O 1 2 3 0 Ono solution O infinite solutions

the new test score to the test scores given in the table and then divid ing by 5 Put the new average in the hotspot of the table below Desmos Scientific Calculator Student Test scores Current Avg New test score Algebert 80 72 95 57 76 82 Bee Bee 40 55 57 84 59 82

Use the Rational Zero Theorem to list all possible rational zeros of the given polynomial Then use various methods to determine the actual roots of the given polynomial p z 1 1 17z 15 Enter the possible rational zeros of p using a comma separated list Using synthetic division or other various methods determine the actual zeros of p

Use the Rational Zero Theorem to list all possible rational zeros of the given polynomial p z 101 17x 2x 12 Enter the possible rational zeros using a comma separated list

In a survey conducted at a pet store 150 customers were asked if they owned birds or fish The survey data are shown in the relative frequency table Own fish Do not own fish Total Own a bird O A 10 OB 6 O C 0 1 OD 4 0 04 0 02 Do not own a bird 0 06 0 88 What percentage of the people surveyed own fish Total

Consider the polynomial p x 3x 18x 33x 18 and the completed synthetic division exercise below 2 3 18 33 6 24 3 12 9 18 18 0 The above result indicates that what value is a zero of p Based on the above result p can be factored as p x

ATVX is equilateral Complete the proof that ATUV AXWV X W 1 3 V Statement ATVX is equilateral ZVXW LUTV ZWVX TVU VR TV ATUV AXWy T Reason Given Given Vertical Angle Theorem Definition of equilateral triangle AAS

In the year 2008 a baseball player had 80 RBIS In the year 2009 he had 140 RBIS In the year 2010 he had 120 RBIS What was the percent increase in his number of RBIs from 2008 to 2010

3 of inequalities 2 2 y2 1 1 A B 4 D B 5

53 3 12 12 1 4 2

3 x 3y 9 x 3y 3 A B C D 4 4 2r FS 3 4x y 3 A B D

7 12 24 16 WITH 10 10 2x 2 y2 x 3

Given that h x x 5 and g x x 4 find g h 4

5 7 15 9 5 x y 2 2 0 44 8x 36y A 7 10 9 4 0 7 8x 4y 4 9 12y 3x A 8 1 C 1 1 9 1 5x 2y 10y 8x 46 A 3 7 C 1 7 B No solution D 7 10 B 1 1 D 1 1 B 3 7 D 3 7 6 8 10 6 20 9y 5x 6x 24 18y 0 A 0 6 C 4 0 8 9y 7x 18 6x 9 7y A 9 9 C 9 9 B 0 8 D 0 8 A 2 3 C 2 9 B No solution D 9 9 10 24 9x 2y 0 5y 29 7x B 9 2 D 2 9

Solve the absolute value inequality 4x 5 11 X and x V

For the following function briefly describe how the graph can be obtained from the graph of a basic logarithmic function Then graph the function Give the domain and the vertical asymptote of the function y log x 2 Select the correct choice below and fill in the answer box to complete your choice OA Shift the graph of y right unit s OB Shift the graph of y OC Shift the graph of y OD Shift the graph of y unit s unit s down unit s up left C 10 4 D 10 18 6 4 2 2 4 6 8 Ay 40 Q 17 G

1 Rearrange the terms in the division problem group like factors a Group the b Group the powers of 2 Divide the Step 1 Rearrange the problem to group like factors 3 Divide the of a Remember When you divide powers with the same base you must the exponents and the base the same 4 Make sure your final quotient answer is in PROPER 2 Divide the coefficients 3 Divide the powers of 10 together 4 Write final answer in PROPER Scientific Notation together 5 x 10 4 x 10 Work notation

Find the formula for an exponential function that passes through the two points given x y 0 7 and x y 3 448 f x

In 1 8 match each expression with the correct choice to form an identity Choices may be used once more tha cotx cos x cos y sin x sin y 1 cos x y Drag each of the expressions given above into the appropriate area below 2 cos x y 3 cos 4 sin KIN 2 7 tan 2 5 cos x 6 sin x X RIN X x KIN TC 2 EN Question 1 5 3 1 8 11 COS X sin x tan x sin x cos X cos x cos y sin x sin y

Find the exact value of the expression given below cos 105 Part 1 of 2 Solve Rewrite the expression using a sum or difference formula Choose the correct answer below O A cos 105 cos 60 45 sin 60 cos 45 cos 60 sin 45 OB cos 105 cos 60 45 cos 60 cos 45 sin 60 sin 45 OC cos 105 cos 60 45 sin 60 cos 45 cos 60 sin 45 O D cos 105 cos 60 45 cos 60 cos 45 sin 60 sin 45

Use trigonometric identities to write sin x in terms of cos x Choose the correct expression equal to sin x O A sinx 1 cos X B sinx 1 1 cos x C sinx 1 cos x D sinx 1 cos x 1 cos x Que

Question 9 5 1 53 HW Score O Points Write the expression in terms of sine and cosine and then simplify the expression so that no quotients appear and all functions a tan x cos x

Use identities to fill in the blank 1 If sin 0 then sin 0 9 sin 0 Type an integer or a fraction

Use identities to finish the statement If tan0 2 622 then tan 0 If tan0 2 622 then tan 0

Use identities to finish the statement If cos0 0 332 then cos 0 If cose 0 332 then cos 0

For each expression choose the expression below that completes an ide Use the choices below to fill in each blank 1 cotx COS X sin x 2 tan x sin x COS X 3 cos x 4 tan x 1 5 1 COS X sin 2x cos x sec x

8 Mr Coffman asked his students to write an example of a square root with a value greater than 11 but less than 11 5 Circle the name of any student who correctly completed the task RAUDA ENTTAML27 EDISON FABIO 119 DEAN 122 141 CANDACE 130