Algebra Questions

a Find the conjugate of the complex number b Multiply the complex number by its conjugate 7 6i a The conjugate of the complex number is Type your answer in the form a bi

Divide Express your answer in standard form 7 1 i 7 3 0 Simplify your answer Type an integer or an improper fraction Type your answer in the form

Write the complex conjugate of the given complex number and then find the product of the complex number and its conjugate 7 18 The complex conjugate of 7 18 is is 0 Simplify your answer Type your answer in the form a bi Type an exact answer using radicals as needed

3 Lucy is a dressmaker In of an hour she can sew she sew each day if she works 8 hours per day of a dress How many dresses will

Write a ratio to show the relationship between the number of cups of flour and the number of pancakes made 2 10

Write in standard form 20 32 8 20 32 8 Simplify your answer Type your answer in the form a bi Type an exact answer using radicals as integers or fractions for any numbers in the expression

b The system from example 2 2 2 Exercise 6 6 2 What goes wrong with the LU factorization if we use the row swap elementary operation Hint Think about what the corresponding E would be in contrast with the importance of the letter L Soliste Blisa subspace of R3 by using only the definition of Show that the plane P

Multiply 25 9 COORD 25 9 Simplify your answer Type your answer in the form a biType an exact answer using radicals

2 i 8i 2 i 8i

Add the following expressions 11 18 5 8 11 18 5 8 Simplify your answer Type your answer in the form a

Subtract 3 80 3 125 3 80 3 125 Simplify your answer Type your answer in the form a bi Type an exact answer using radicals as

8i 5 7i 8i 5 7i Type your answer in the form a billse integers or fractions for any numbers in the

Subtract 2 9 7 16 2 9 7 16 Type your answer in the form a bi Use integers or fractions for any numbers in the expres

3 64 4 81 3 64 4 81 Simplify your answer Type your answer in the form a bi Type an exact answer using radicals as

Parents wish to have 140 000 available for a child s education If the child is now 3 years old how much money must be set aside at 7 compounded semiannually to meet their financial goal when the child is 18 i Click the icon to view some finance formulas The amount that should be set aside is Round up to the nearest dollar

erform the indicated subtraction in the expression below Express your answer in standard form 7 9i 5 9i 7 91 5 9 Simplify your answer

Write the following expression in standard form 9 8 9 Simplify your answer

Divide the following complex numbers 5 4i 4i 5 4i 4i Type your answer in the form a biUse integers or fractions for any numbers in th

A sofa regularly sells for 690 The sale price is 552 00 Find the percent decrease of the sale price from the regular price

Estimate the one sided limits a lim f x b lim f x for I a x z a 4 x a lim b lim 8 z a 4 x x 4 x and a 4

A 16 find X 164 60 15 XV3 30 X 16

cm Find the area of the figure 6 cm 1 L 16 cm A cm Area of a rectangle lw 1 length w width bh Area of a triangle 2 b base h height USE A

Write the expression in the standard form of a complex number a bi 4 8 14 4 8 14 Type an exact answer using radicals as needed Type your answer in the form a biSimplify your ans

75 4 3i 75 4 3i Simplify your answer Type your answer in the form

Multiply 4 3i 4 3i 4 3i 4 3i Type your answer in the form a bi

Multiply 2 16 1 25 2 16 1 25 Simplify your answer Type your answer in the form a bi Type an exact answer using radicals

Find the complex conjugate of 4 9i The complex conjugate of 4 9i is Type your answer in the form a bi

4 8 5 32 4 8 5 32 Simplify your answer Type your answer in the form a biType an exact answer using radicals

25 36 25 36 Simplify your answer Type your answer in the form a biType an exact answer using radica

Multiply 3i 2 8i 3i 2 8i Type your answer in the form a biUse integers or fractions for any numbers in the

Perform the indicated subtraction in the expression below 2 7i 4 6i 2 7i 4 6i 0 Simplify

Add 6 i 3 6i 6 1 3 6i Simplify your answer Type your answer in the form a

In the complex number 3 4i 3 is called the part and 4 is called the real imaginary pa

10 The expression 3n 11n k can be factored into two linear polynomials with integer coefficients Determine the possible values of k

Express in terms of i 343 343 Simplify your answer Type your answer in the form a bi

Express the number in terms of i 3 16 3 16 Simplify your answer

State whether the following statement is true or false All real numbers are complex numbers Choose the correct answer below A True because the real number system is a subset of the complex number system OB False because the complex number system is a subset of the real number syster OC False because there are some real numbers that cannot be written in the form a O D True because the real number system and the complex number system are the s

Express in terms of i 25 25 Simplify your answer Type your answer in the form a bi

Write the number as a product of a real number and i Simplify all radical expressions 7 7 Simplify your answer Type your answer in the form a bi Type an exact answer using radicals as need

A BOOK Find the area of the figure 4 in 4 in 4 in 8 in 4 in A in bh Area of atriangle 2 b base h height Area of a rectangle lw length w width t

Describe the difference between simple and compound interest Choose the correct answer below OA Simple interest involves interest calculated only on the principal Compound interest is interest computed only on the accumulated interest B Simple interest involves interest calculated only on the principal Compound interest is interest computed on the original principal as well as on any accumulated interest C Simple interest is interest computed on the original principal as well as on any accumulated interest Compound interest involves interest calculated only on the principal D There is no difference between simple and compound interest

Sketch the graph of the function Include two full periods Use a graphing utility to verify your result y 2 sec 4x 2 O n 10000 Need Help th Read It 2 1

ow much money should be deposited today in an account that earns 5 compounded semiannually so that it will accumulate to Click the icon to view some finance formulas me amount of money that should be deposited is Cound up to the nearest cent Formulas In the provided formulas A is the balance in the account after t years P is the principal investment r is the annual interest rate in decimal form n is the number of compounding periods per year and Y is the investment s effective annual yield in decimal form A P 1 1 nt COOEE P A nt 1 A Pert Y 1 5 1 X

Question 8 y Write an equation for a line parallel to y 3x 1 and passing through the point 1 1 Check Answer

Next question You can retry this question below Find the equation in terms of 2 of the line through the points 2 5 and 3 2 y 3x 11 Check Answer

Given the points 10 0 and 5 1 find the slope

Next question Find the equation in terms of x of the line through the points 4 1 and 2 3 5 X OF

A bank offers a CD that pays a simple interest rate of 4 5 How much must you put in this CD now in order to have 4000 for a graduation trip in 3 years You must put in this CD now in order to have 4000 for a graduation trip in 3years Round up to the nearest cent

Give the slope and the y intercept of the line y 8 2x Slope y intercept

rk 8 3 a The amount of interest is Round to the nearest cent as needed Part 1 of 2 In order to start a small business a student takes out a simple interest loan for 3000 for 3 months at a rate of 6 75 a How much interest must the student pay b Find the future value of the loan O