Complex numbers Questions and Answers

Create an equation in factored form for a quadratic relation with the following features one of its two distinct x intercepts on the axis of symmetry of y 2 x 1 3 opens down and is vertically compressed by a factor of 0 3

14 If a point in the rectangular coordinate plane the Cartesian plane or x y plane has a positive y value what must be true about the location of the point in the coordinate plane

Find the principle value of 1 i 3 3 1 i 3 10100 ni

Multiply 3x 10x 8 x 4 5x 14 3x 6 Simplify your answer as much as possible 0 9 X

2 Rewrite the rational function g x x 7x 12 in the form g x p x 2 where x 2 p x is a polynomial and r is an integer

Zero of 0 and zero of 2 having multiplicity 2 f 3 15

Julia has two children who are four years apart in age Julia is four times older than her youngest child The sum of the ages of Julia and her children is years Use the 5D Process to find the ages of Julia and each of her children

Which are equivalent expressions to 4 Select all that apply 0433 3 04 O 16 26 64 08

Match the radical expression with its correct simplification 81 24 64 63 6 9 9 3 2 6 4 6

Find the volume under the paraboloid z 4y2 and above the rectangle 0 2 x 1 4

rate of change 1 5 write piepierce function of the graph 2x 10 if 10 x 0 4x 10if 0 x 5 x 15 if 5 x 10 graph these state domain of f state range of find f 6 find f 8 find x values if f x 2 is f continoous domain make a table from this f 1 2x 4 x f x 52 4 3 3 4 3 15 x g x

Write the equation of the trigonometric graph Try fractional values or for the box next to x ali Y w N N 3 cos x COS 500

to graph the function and approximate to two decimal places any relative minimum es B 17 f x 2x 9x 19 f x x 3x x 1

8 Elliott Sutor is considering a truck with a 23 855 base price 2 856 options total and a 910 destination charge The dealer s costs are 90 5 of the base price and 87 of the options price

6 Gretchen Utley is considering the purchase of a station wagon Its base price is 37 125 options total is 2 975 and destination charge is 870 The dealer s costs are 93 of base price and 91 of options price

Warren went to the store to buy a new TV The sales clerk asked How large is your current TV Warren replied It is 25 inches wide and 14 inches tall The sales clerk explained that TVs are sold by the measurement along the diagonal of the screen Save Warren a trip home to remeasure What is the diagonal measurement for Warren s current TV inches Give your answer accurate to at least one decimal place

Solve the equation by completing the square z 12 44 3 06 5i 6 5i 06 5i 6 5i 0 6 5i 6 5i 0 6 5i 6 5i O 5 3i 5 3i

ants possible Question 15 Perform the indicated operation simplify Express the an 9 225

Question 21 solve the equation by completing the squar 03 13i 3 13i 0313i 3 13i O 3 13i 3 13i O 3 13i 3 13i O 13 5i 13 5i

3 6 9 12 Question 3 2 5 points Find the quotient 24 20

in terms of a formal report explain in detail what is meant by formal format and the requirements thereof

uestion 22 olve equation by using the quadratic form 2w 3w 8 0 Simplify answers List multiple answers with a comma in between

Given W x y 2x 3y x y ER W is a subspace of R Find the basis and dimension of W O a Dim W 3 and Basis 1 0 0 0 1 0 0 2 3 O b Dim W 2 and Basis 1 0 2 0 1 3 O c O d Dim W 2 and Basis 1 0 3 0 1 2 Dim W 3 and Basis 1 0 2 0 1 3 0 0 0

Use the COMPLETING THE SQUARE method to solve the equation What would be the next step of solving the equation by completing the square 4x 12x3 0 31 3 4x 12x O Determine half of 12 3 Divide both sides of the equation by 4 Add 36 to both sides of the equation Take the equation square root of both sides of the

Using the graph below solve the quadratic equation x 2x 6 0 554 O 6 5 41 3 24 7 6 5 4 3 2 1 1 23 2 3 67 x 1 or y 7 Ox 2 79 or x 4 79 O 12 3 4 5 6 7 xs 1 65 or x 3 65 y 6 or y 0 2 X2 2x x

Which of the below is the completely factored form of the polynomial shown 4a 98 O 2a 3b 2a 3b O 2a 3b O 2a 3b 0 AY

The graph of a polynomial function is shown 10 5 The polynomial has 10 F 5 O 5 10 leading coefficient the next x intercept is at x 5 degree and a The graph has two x intercepts The furthest left x intercept is x with a multiplicity of and with a multiplicity of 10

2 Let G be a group and let D a a a G a Prove that D is a subgroup of G x G b Prove that D is normal in G x G if and only if G is abeli

Question 3 20 points Rewrite the following radical in rational exponential form and simplify if possible Oa Oa

Simplify the rational expression Use positive expon a b 3c4 3 OFF 05 O a c G

work Use substitution to determine whether the given ordered pair is a solution of the given equation 1 5 5 y 3x 20

Find the midpoint of the segment having the given endpoints 8 5 3 and 4 7 9 0 1 0 7 and 2 2 1 3

Determine the x and y intercepts of the graph of 7x 5y 35 0 and 0 7 b 5 0 and 0 7 c 5 0 and 0 7 PAGE 4 OF 12 d 5 0 and 0 7

Complete the sentences about each sequence Type your answer in the space provided Write fractions as decimals The sequence 10 9 5 9 0 8 5 has a common difference of The sequence 200 100 50 25 has a common ratio of

of a trapezoid The measurements of the Sides are as shown Showin X 161 XX A 187 5 ft B 227 75ft C 250 f D 49 7 St XX X 161 btctd X 297 If the Perimeter of the concert hall is 1 369 feet what is the value of x L

Which is a factor of 162 1 4x 4x 1 B x 1 D 8x 1

Factor 4x 2 81 over the set of complex numbers

Drag and drop a statement or reason to each box to complete the proof Given parallelogram EFGH Prove EG bisects HF and HF bisects EG E K F

Which figures demonstrate a single translation Select each correct answer S

What is the sequence of transformations that maps A ABC to A A B C Select from the drop down menus to correctly identify each step Step 1 Choose Step 2 Choose 7 6 5 4 3 12 C B 7 6 5 4 3 2 1 12345678 734 2 B A

Triangle ABCis transformed with the center of dilation at the origin Pre image A ABC with vertices A 2 5 B 6 10 C 9 1 Image A A B C with vertices A 0 5 1 25 B 1 5 2 5 C 2 25 0 25 What is the scale factor of the dilation that maps the pre image to the image Enter your answer in the box

All of Lobo Louie s shirts are either silver or cherry in All of Lobo Louie s shirts are either silver or cherry in color They have 2 silver shirts for every 3 cherry shirts in their closet If Louie has a total of 30 shirts how many of those shirts are cherry colored 5 Points 12 10 18 6 I don t know 90 All of Lobo Louie s shirts are either silver or cherry in color They have 2 silver shirts for every 3 cherry shirts in total of 20 shirts how many of those shirts are cherry colored 10 12 18 6 I don t

X G X A 1 unit growth factor B Initial Value C Function 1 7 2 21 3 63

Write the general solution of 5x 6x2 4x3 8 in parametric vector form Describe the solution set

The graph of f x is shown in red Draw the graph of g x f x 2 The graph of f x is shown in red Draw the graph of g x f x 3 8 7 6 5 4 3 2 1 8 76543 6 5 24 2345 6 7 8 Clear All Draw Polygon 8 7 6 54 5 1 2 3 4 5 6 7 8 724 34567

1 Use the diagram below to evaluate the given trig functions 3 3 sin 0 cos 0 tan 0

Solve the equation 15x I 21z6 Fully simplify your answer including any non real solutions

Evaluate the expression 3 8 5 The real number a equals The real number b equals and write the result in the form a bi

Evaluate the expression 2 3i 8i and write the result in the form a bi

Find the product of 6 9i and its conjugate product