Complex numbers Questions and Answers

34 35 Find the number needs to be added to each side of the equation to complete the square 34 x 5x A B C D 2 5 2 25 2 25

36 Determine the nature of the roots of the equation 2y 7y 10 0 A No real roots 2 complex solutions B One real rational solution C Two real solutions 2 rational roots D Two real solutions 2 irrational roots

37 Determine the values of a b and c for the quadratic equation 3x 5x 6 0 A a 3 b 5 c 6 B a 3 b 5 c 0 C a 3 b 5 c 6 D a 1 b 5 c 6

2 15 What is an equivalent form of 3 i A B C D 31 4 4 31 5 5 4 1 55

Step 1 of 1 Find a formula for the linear function depicted in the following graph 10 5 10 5 101 5 5 10

6 Solve the system of equations using substitution x y 30 x y 6 A 24 18 B 6 12 C 18 12 D 12 18

Consider the following functions Step 3 of 4 Find fg 1 f 5 1 2 2 1 2 and g 2 5 4 2 1 1 AnswerHow to enter your answer opens in new window 2 Points fg 1

against the side of a house The angle of elevation of the ladder is 74 when the bottom of the I dder Round your answer to the nearest tenth 74 12 X

In the following exercise eliminate the parameter t use the rectangular equation to sketch the plane curve represented by the given parametric equations Use arrows to show the orientation of the curve corresponding to increasing values of t x 16 sint y 16 cost 0 t 2 The rectangular equation is with restrictions x 16 and y2 16 Simplify your answer Choose the correct graph of the curve below OA O C O D B OA O Show Transcribed Text B G O C J D

Given the standard form of a parabola y x 12x 40 determine the vertex form of the graph x 6 40 x 6 36 y 2 6 4 y x 12 36 Question 6 10 points Given the standard form of a parabola 2x 12x 26 determine the vertex form of the graph Oy x 6 10 Oy 2 x 3 8 OP 2 x 6 10

A student named Jessica was able to determine the solution of a quadratic equation was X 4 12 2 Which of the below answer shows her answer simplified correctly Ox 2 6 Ox 2 12 Ox 4 6 Orlik

Which problem below could be solved most directly by the square root method 3x 27 0 4x 2x 5 0 O8 5 0 5x 12x 0 Question 2 14 3 points Solve the following by FACTORING and using the ZERO PRODUCT PROPERTY 6x 40 0 x 10 4 x 8 5 x 10 4 x 5 8

Give a complete r 5 5cos theta graph of the polar equation and identify the type of polar graph

Express the following interval in set builder notation and graph the interval on a number line 5 9

Plot the complex numbers 6 i and 5 3i in the complex plane

What would the most efficient first step to solving this 3 Variable System of Equations x y z 7 J 22 9 2 4 O Solve the top 2 equations for y Substitute 4 in for z in the second equation and solve for y Multiply the second equation by 1 to cancel out the z s in the first two equations Substitute y in the second equation with 7 x y from the first equation

For a given geometric sequence the common ratio r 2 and the 12th term a12 10240 Find a1 2 4

Solve the equation given Enter the solutions separated by a comma 4m m 6 0 Entry Tip to type button 4 7 3 Type 4 sqrt 7 3 be careful with parenthesis and use the previe

3 Explain why dividing each side of 3x 6x by 3x is not a reliable way to solve the equation 3 Dividing both sides by 3x is not a reliable way to solve the equation because

1 To solve x 5x 0 Mai rewrote the equation as x x 5 0 Explain how rewriting this equation in factored form enables Mai to solve the equation 1 Rewriting the equation in factored form helps Mai to solve the equation because

There are 200 students in an eleventh grade high school class There are 40 students in the soccer team and 50 students in the basketball team Out of these students there are 10 who play on both teams Let A be the event that a randomly selected student plays soccer and B be the event that the student plays basketball Based on this information answer the following questions What is P A the probability that the student plays soccer What is P B the probability that the student plays basketball What is P A and B the probability that the student plays soccer and basketball What is P A B the conditional probability that the student plays soccer given that he or she plays basketball Is P A B P A Are the events A and B independent Choose all answers that apply Yes P A B P A No P AB P A Yes events A and B are independent events No events A and B are not independent events

Glen Davis is shooting free throws Making or missing free throws doesn t change the probability that he will make his next one and he makes his free throws 74 of the time What is the probability of Glen Davis making none of his next 4 free throw attempts Choose 1 answer A 4 0 74 0 74

Here is a graph of the equation 2 y x 4x 5 Which statement is true about the solutions to the equation 2 x 4x 5 0 The equation has no real solution The equation has one solution 5 The equation has two solutions 2 and 0 The equation has infinitely many solutions 2 6 in 5 NOH 2 1 27 6 5 4 3 2 10

Consider the parabola given by equation 2 6 x y 8 0 Find the vertex and length of the latus rectum

Verify the identity tan x cot x 2 csc 2x

Rewrite the objective function into a maximization function Minimize w y 3y2 3 44 subject to y y2 Y3 Y4 29 2y 2y2 Y3 2y4 48 Y 20 Y220 y3 0 y4 0 O A Maximize z 2x 2x2 x3 3x4 48 OB Maximize z X X2 X3 X4 29 OC Maximize z x 3x x3 4x4 OD Maximize z x 3x x3 4x4 X5

Bear Grylls was dropped off in the wilderness and spots a camp 40 west of north He proceeds to hike 25 east of north for 4 25 miles and determines the camp is now 65 west of north How far is he from the camp at this point Answer to the nearest hundredth of a mile

What is the equation of the vertical asymptote of y 1 X

Graph this function 2 3 Plot two points to graph the function y 2 8 7 6 5 4 3 2 1 8 7 1 0 1 6 5 4 3 2 y 1 2 3w 4 5 6 T

the the rules for multiplication and or division of measurements to evaluate Round your answer to the same number of significant digits as the measurement that hav the least number of significant digits 680 on 240 cm

Use the formula for present value of money to calculate the amount you need to invest now in one lump sum in order to have 25 000 after 10 years with an APR of 6 compounded quarterly Round your answer to the nearest cent if necessary Formulas

What is the coefficient of the term containing x2y in the expansion of 3x y Answer

Which of the following matrix performs the linear transformation Vertical Shear with factor 2 1 2 1 b a 1 12 1 29 28 d C

Graph this function y 8 Plot two points to graph the function 7 6 5 4 3 14 12 10 8 6 4 2 2 1 0 02 4 1 2 3 4 LO 5

Complete the table for the function y 0 25 X 2 1 0 1 y Now graph the function Plot two points to graph the function 16 14 12 10 8 6 4 2 y

Consider the following rational function Step 3 of 3 Identify four ordered pairs on the graph of the function Answer 2 Points x 8

y 1 5 Plot two points to graph the function 8 7 6 5 4 AY 8 7 6 LO 5 4 3 2 1 3 2 1 0 1 2 3 4 2 3 09 4 5 6 7

Expand the logarithm Assume all expressions exist and are well defined Write your answer as a sum or difference of common logarithms or multiples of commor logarithms The inside of each logarithm must be a distinct constant or variable log vu 1090 log

Put the expressions in the appropriate order O In 4 In 4 In e In 4 In 4 In e O The expressions are equivalent 0 e O In4 In 4 e In e In 4 In 4 In 4 In 4 In 4 In 4 In e In 4 In 4 In e e In 4

Question 17 Approximate the solution to In x 3 Inx 4 Round to 3 decimal places 0 056 0 982 54 598 0 000 O 1 000 1

Solve 3 9 2 2 0 1 01 8 for x no solution

Find the exact value of In el 50 In e without using a calculator O 1 5 02 01 03 O 0 75

Write the exponential equation 2 1 6487 in logarithmic form O In 1 1 6487 2 log 10 1 6487 In 1 6487 In 1 6487 230310 4 16487

Find the exact solutions of the equation and then list those solutions which are in the interval 0 2 tan 2x 16 sec 2x 49 Enter all solutions below as a list of numbers separated with commas For the exact answer you may type in inverse trig functions You may also type the decimal approximation correct to the nearest thousandth

Can I get help with writing a 4th degree polynomial with zeros 2 4 and 2 i The y intercept is 10 I m so lost can you please show me step by step

CIIITT 8 X 6 5 3 2 AY 10 TT 8 CTN COO LIJ N 8 DIID 10 XA

25 20 15 10 COD IT 5 S 10 1 1 20 25 10 15 20 25 15

4 1 10 8 6 LLI y OLL 8 Otr y IA 4 1 10 1 XA

y x 2x 3 vertex y intercept 0 2 other points 2 4 3 2 1 0 3 2 11 2 3 4 5 01 y x x 2 x int 0 vertex 2 other points 3 1 2 3 4 5

9 y x 2 x 3 y x 2 x 3 2