Complex numbers Questions and Answers

10 9 1 2 4 8 4 3 2 1 0 2 10 3 2 3 4 3 20 4

Leaming Target I can solve one step equations for the unknown variable value Name the operation that is the inverse opposite of a Addition b Subtraction c Multiplication d Division Example 1 Work 5 x 20 Explanation

B 3 21n 53n 8 20n 10n 6n 13n 8 42n 6 5n 3 C 70n A B D 9 Sn 9 n 2 8 44 6v 63y 9v 35v 5 Sv 45 v 3 A 7 C v 9 v 4 2 3 v 9 D 7 v 6 B

Identify the asymptote of the given function f x 4 6 Oy 1 Oy 1 Oy 4 Oy 6

Identify the asymptote of the exponential function shown 5 4 3 2 1 Ox 0 Oy 1 Oy 0 Ox 1 4 3 N 1 1 2 3 4 5 v x 1 2 3 4 4 5

Consider the first six terms of a sequence shown in the graph Which equation below explicitly defines the sequence O O an 6 2n 1 an 32 16n 16 1 an n n 1 6 1 17 16 15 14 13 12 11 10 9 8 7 5 4 2 an 1 2 3 4

Graph the image of kite ABCD after a dilation with a scale factor of 4 centered at the origin 10 8 6 4 D 2 104 8 6 4 2 2 4 6 8 C A 2 B 4 6 8 Ao 10 Ver en espa ol

Graph Using x and y intercepts 2x 3y 6 0 y 2x 4 2 3 AN

You want to have 100 000 in an account after 30 years for your retirement Your investment counselor suggests that you make regular quarterly deposits into an annuity that pays 5 interest compounded quarterly Find the amount that must be deposited quarterly rounded to the nearest cent P 11 r nxt 11 288 90 68 39 40 95

Suppose 13 000 is deposited into a savings au interest compounded semi annually Find the balance in the account after 20 years Round to the nearest cent Use one of these formulas to solve the problem Future Value Present Value nt P 1 ht A 267 858 50 23 582 24 252 372 05 7 166 41 P A nt 1 2 ht

Listen In order to start a small business a student takes out a simple interest loan for 3 000 00 for 6 months at a rate of 7 50 How much interest must the student pay For simple interest A P 1 r t I P r t O 112 50 1 350 O 75 00 1 125 00

Use the information given below to write an equation in the form y mx b for the average cost y of a math text book x years after 1990 Then use the equation to predict the average cost in 2016 Cost in Dollars 50 40 90 80 60 70 0 46 Average cost of a Math Textbook 4 70 4 5 6 Years after 1990 7

A 12 foot pole is supported by a wire that extends from the top of the pole to a point that is 16 feet from the base of the pole Use the Pythagorean Theorem to find the length of the wire 12 ft 24 feet 28 feet 14 feet 20 feet 16 ft

Simplify the sum State any restrictions on the variable y 1 y 2 y 9 y 9 Select the correct choice below and fill in the answer box es to complete your choice OA y 1 y 2 for y y 9 y 9 Simplify your answers Use a comma to separate answers as needed OB y 1 y 2 y 9 y 9 Simplify your answer for all values of y

5 A 3n 35n 21n 14 15n 18n 5n 6 C 7 D A 9 2n 8 42n 24n n 4 3n C n 3 561 A B 3 4 B D 4n 9 6b3b 5b 13b 6 3b 9 5b 226 8 b 9 C 18 D 186 35n 21n 14 n 4 6n 16 16n 21n 3n 4 5 7n D 7 n 4 b 3 1 b b 4 7 b 8 b 3 B 6 6 10 A 8 8 9k 36k 15k 3 15k 3k 6k C k 10 A 10 C 8x 28x 7x 25x 12 k 2 k 1 A C x 7 64x 3 x 2 x 5 B 3a 6 21a 66a 48 2 5 a 8 10 a 1 9 D 70x 30 2x 7 B D B k 7 10k k 10 3k k 4 2 D zoom 40x x 4 14a 16 5a 40 3a a 8 1 1 x 8 x 5 10 x 27a

a b 1 9 a b 10AM COR

8 points Write the equation for the function graphed below f x x 2 6x 2 754321 A y

Calculate the determinant of the matrix below 2 det A Choose the best statement below A 4 1 2 The matrix is invertible because its determinant is non zero The matrix is invertible because its determinant is zero O The matrix is not invertible because its determinant is zero The matrix is not invertible because its determinant is non zero

Suppose A 5 8 2 a Compute A B 6 10 5 b Compute 3A 4B and B 4 7 8 4 10 9

Simplify completely OX 3 5 OX 12 5 O xX 6 5 x 18 x 15x 36 5 60

Simplify completely Ox O 3x O X 6 6 O X 18 6 3x 18 18

Multiply Simplify the Rational Expressions x 49 6x3 8x2 x 7x 2 a b ab a4b a b ab

x 5x 24 x 6x 9 8x 8x 12 a4 64 a a b a 2ab b 3

25 x 5x4 x 5 x4 5x 10 2b 9a 81a 2 4b 1 9a b

The function f x 2x 3 is graphed at the right Determine the y intercept for the function f x which is shown O 1 5 0 O 2 0 0 3 0 2 6 5 4 3 f x 2x 3 2 1 S 3 2 1 F 1 n 2 Asymptote y 3

Given the function f x 3 1 determine the average rate of change from x 0 to x 2 O 2 9 9 2 4 14

Consider the function w x 3x 2 As x determine w x i e As x approaches w x w x co Ow x 2 w x 3 negative infinity what does w x approach

13 In the from Find expansion of x a X3 constant the beginning the value of a the 7th tem term 10

3 In In the the exponsion Ax yY terms IS of x y 3 Find 1 ore of the the value of A 3 8 A 5

6 9 11 13 31 A 288 B 272 C 260 D 256 E 240

Let 21 O a 5 cos i sin z2 4 cos isin and w 2 22 Find Arg 3w 4T

Solve the right triangle Q R 66 Write your answers as integers or as decimals rounded to the nearest tenth PR PQ m P P O

Write the coordinates of the vertices after a dilation with a scale factor of 4 centered at the origin 10 8 d M 2 L 104 8 6 4 2 2 4 8 N 2 4 6 8 X 10

Listen Find the area of the given triangle Round numbers to the nearest tenth where appropriat b 12 cm c 13 cm O a 5 cm 32 5 cm 30 cm none of these 28 5 cm

11 x y zEN x y z x 2y 3z 28 t min x y A 20 B 19 C 18 D 1

15 24 12 X 16 2x 3

3x 5 12 J15 45 5 3 2a 10 20 10 10 0 Solve the following equations showing all work 2 4 2s 12 4 X 5 8 4 10 3x 4 3x 4 70

Find an equation of the circle that has center 6 2 and passes through 3 6 3 0 0

13 3 4 4 36 15 24 12 14 3 x 9 16 2x 5 13

12 4 2z 6 20

40 Extension 4 X 2 4 X d 2 2 16 12

Find an equation of the circle whose diameter has endpoints 5 3 and 3 3 0 X 8 S

Solve the equation in degrees for all exact solutions where appropriate Round approximate answers in degrees to the nearest tenth Write answers using the least possible nonnegativ measures 3 sin 0 3 cos 20 What is the solution set OA 30 360 n 120 360 n 270 360 n where n is any integer B 0 360 n 150 360 n 240 360 n where n is any iteger c 30 360 n 150 360 n 270 360 n where n is any integer O D 0 180 n 120 180 n 240 180 n where n is any integer

Consider the first six terms of this sequence 2 7 12 17 22 27 What is the common difference in this sequence 02 3 5 5 7

Find an equation of the circle whose diameter has endpoints 5 1 and 2 3 0 1 8 0 0 6

Given that the sequence is arithmetic a31 126 i e the 31st term is 126 and the common difference is 4 find a i e the 1st term 09 2 091 4 091 6 a 12

Consider the recurrence relation a 4 a 1 Which table of values could represent a partial sequence described by the relation 1 5 9 13 17 21 4 16 64 256 1024 4 10 17 25 34

Review What could be the next step in solving the following equation for x 3x 4 5x 2 x Subtract an x from each side of the equation Add 2 to both sides of the equation Combine the like terms 5x and x on the right side Subtract 4 from both sides

3 x 4 10 12 4 10 x 2 1

Extension 4 x 2