Complex numbers Questions and Answers

Solve the following exponential equation Express irrational solutions in exact form and as a decimal rounded to three decimal plac 41 6x 7x What is the exact answer Select the correct choice below and if necessary fill in the answer box to complete your choice Simplify your answer Type an exact answer B There is no solution OA The solution set is What is the answer rounded to three decimal places Select the correct choice below and if necessary fill in the answer box to con A The solution set is Simplify your answer Type an integer or decimal rounded to three decimal places as needed B There is no solution

Solve the following exponential equation Express irrational solutions in exact form and as a decim rounded to three decimal places 6 8 0 1 Ommy your answer Type all chans B There is no solution What is the answer rounded to three decimal places Select the correct choice below and if necessary fill in the answer box to complete your choice A The solution set is Simplify your answer Type an integer or decimal rounded to three decimal places as needed

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11 Use the synthetic division method to find the result when 2x 3x 4 is divided by x 2 If there is a remainder express the result in the form q x r x b x

2 3x x 6 a b C

1 7x 3x 4 0 2 2x 6x 1 0 3 x2 5x 0 4 x 11 0 O b

6 x 4x

5 2x 5x 7 0

6 3 2x 9 a b

2 3x x 6

Express y as a function of x The constant C is a positive number In y In x In x 10 In C

Use the change of base formula and a calculator to evaluate the following logarithm log 5 Use the change of base formula with common logarithms logarithms with a base 10 to rewrite the given expression What is the resulting expression log log Use a calculator to evaluate the following logarithm log 5 log 5

Using the graph of f shown below find three intervals on which f is one to one making each interval as large as possible 2 Ay Q G The intervals on which f is one to one are 2 00 Simplify your answers co 41 4

Use analytical and or graphical methods to determine the largest possible sets of points on which the following function has an inverse 3 f x 2 2 x BRESSER List the intervals on which the function has an inverse Make each interval as large as possible 2 Use a comma to separate answers as needed

Use analytical and or graphical methods to determine the largest possible sets of points on which the following function has an inverse 3 f x 2 2 List the intervals on which the function has an inverse Make each interval as large as possible Use a comma to separate answers as needed

In how many different ways can a police department arrange a lineup if each lineup contains 10 people

Simplify Radicals Special Right Triangles 3 a 27m11n8 b 54a1261

15 2 17 15x 0 19 21 7n 21 126 14k 16 16 11 18 17x 204 12 20 m 13 22 143 11x 204 17

7 m 9 13 9 v 15 27 11 104 8 x b 18 13 6 8 p 6 5 10 n 16 9 12 14b 56 14 10m 40

19 21 7n 21 126 14k 20 m 4 13 22 143 11x

23 16 x 15 25 17 x 15 27 72 8 80 29 7 m 8 24 5 18 26 n 8 10 28 a 11 20 30 18 m 8

Solve each equation 1 26 8 v 3 15 b 23 5 m 4 12 7 m 9 13 2 3 p 8 p 5 4 15 n 9 6 x 7 13 x 20 8 p 6 5

Find the vertex of y x 6x 6 using the vertex formula Step 1 Find the x coordinate of the vertex For any parabola y Ax Bx C the x coordinate of the vertex will always be x ZA Using this formula what is the x coordinate of the vertex for the parabola y x 6x 6 x 3 Step 2 Find the y coordinate of the vertex Now that we know that the x coordinate of the vertex is x 3 we only need to find the y coordinate Fortunately we know that y x 6x 6 What is the y coordinate that corresponds to x 3 y 15 Give the vertex of the parabola y x 6x 6 as a point

Siven f x x 1 x 2 x 3 what are the zeros and end behavior of the function

Determine the remaining sides and angles of the triangle ABC A 30 72 B 31 13 c 18 86 m C O P

Determine the remaining sides and angles of the triangle ABC c 9 mi B 35 51 C 30 69 Find the measure of angle A 0 A Type an integer or a decimal O Poi

Find the length of side a Do not use a calculator a O Points 0 of 1 A 60 2 2 75 ed B Simplify your answer including any radicals Use integers or fractions for any numbers in the expression

Determine the remaining sides and angles of the triangle ABC What is the measure of angle B 0 Simplify your answer Type an integer or a decimal B 62 6 ft 20 2 115 2 A

Select the correct choices that complete the sentence below sin A sin B An alternative form of the law of sines is sin C

2 AC has length 2 find the length of AB and BC C A 45 X h 45 B

If BC has length 5 find the length of AC and AB AC AB y A C 30 X 5 60 B

Determine the equation of the midline of the following graph 4 3 2 LO 5 4 3 2 1 1 2 4 5 y 2 3 5 4 5 6 7 8 X

A ship is anchored off a long straight shoreline that runs north and south From two observation points 19 miles apart on shore the bearings of the ship are N 38 E and S 54 E What is the distance from the ship to each of the observation points Round your answers to one decimal place distance from northern point mi distance from southern point mi

If csc x 4 for 90 x 180 then sin 2 2 COS cos 2 2 tan 2

V Suppose that the functions g and h are defined for all real numbers x as follows g x 3x 3 h x 6x Write the expressions for g h x and g h x and evaluate g h 2 g h x g h x 8 h 2 X 3

1 point Find an equation for the plane that contains the line 1 Plane equation in general form X Y Z 5 4t 6 t 4 4t and is perpendicular to the plane 5x y 5z 40

f AC has length 13 9 and BC has length 16 1 find The length of AB The measure of angle B in degrees The measure of angle C in degrees 13 9 A 16 1 B

A AB has length 13 9 and BC has length 19 9 find The length of AC The measure of angle B in degrees cor 19 9 13 9 B

If AB has length 9 3 and AC has length 16 3 find The length of BC The measure of angle B in degrees The measure of angle C in degrees 16 3 A 9 3 B

If AB has length 5 and BC has length 14 find The length of AC The measure of angle B in degrees The measure of angle C in degrees A 14 5 B

11 f AB has length 11 and AC has length 11 find The length of BC The measure of angle B in degrees A 11 B

Find the following sum if it exists 4 16 64 Select the correct choice below and if necessary fill in the answer box to complete your choice OA The sum is Type an integer or a simplified fraction OB The sum does not exist

Find the nth or general term for the geometric sequence 6 6 6 6 Which represents the nth term OA 6 n 1 OB 6 1 OC 6 1 OD 6 1 1

A B C 4 List the intervals for each section of the function and state whether it is inci decreasing or constant Label them A E starting from left to right on the graph D Distance km 70 60 50 40 30 20 10 0 09 00 10 00 11 00 2 00 13 00 The 14 00

Find the sum of the first 21 terms of the arithmetic series 48 54 60 66 21

Test OA 5n 100 Write a formula for the general term the nth term of the arithmetic sequence a a2 a3 a4 5 0 5 10 B 5n 10 90 C 5n 10 110 O D 5n 100 Question 9

Find the first term and the common difference 5 8 11 14 a 11 d

Find the first 4 terms a10 and a15 of the sequence with the following nth term an 2n 1 a 1 Simplify your answer a2 3 Simplify your answer a3 5 Simplify your answer Simplify your answer Simplify your answer Simplify your answer a4 a10 a15

Find the first 4 terms of the recursively defined sequence 1 a 5 an 1 1 an a2 Simplify your answer Type an integer a fraction or a mixed number a3 Simplify your answer Type an integer a fraction or a mixed number a4 Simplify your answer Type an integer a fraction or a mixed number

omework Question 8 8 5 35 Write the sum of the first three terms of the binomial expansion expressing the result in simplified form 13 The sum of the first three terms of the binomial expansion is Simplify your answer HW x