Algebra Questions

Factor 2xy 5x 12y 30 Enter your answer in the box

Factor 3x y 4 2 y 4 Enter your answer in the box

Graph the linear equation by the point plotting method or by finding intercepts 8y 16 0 Use the graphing tool to graph the linear equation Click to enlarge graph C 2016 12 B 20 16 12 8 4 4 Ay 8 12 16

Find the slope of the line whose graph is given Q 6 4 2 6 2 2 4 16 00 0 3 2 50 G Select the correct choice below and fill in any answer boxes within your choice O A m Simplify your answer Type an integer or a fraction B The slope is undefined

F x 4 is a point on the graph of 3x 2y 2 find x

ind the slope of the line to the right Step by Step Solution Step 1 Let one of the points be X Y and the other point be x2 Y2 19784 10 5 1 5 10 5 713

If 1 y is a point on the graph of 2x 4y 22 find y y 0

Solve for x Leave your answer in simplest radical form 16

About the sequence x kezt we have the following a x 1 B x b for each t to b t b MK b k 1 c xk Z is uniformly Cauchy on t b t b verification of these properties is left for the reader We consider the uniform limit of the sequence x 1 8 1 8 B x b which is given by x t lim x 1 1 l b to b Thus x 1 lim x f s 1 x 0 1 2 te t b t b k20 f s x s ds Finally the validity of this integral equation has the following two implications X t x s x s ds x 0 x lim ff s x s ds x lim f s x s ds x f f s lim x s ds x ff s x s ds Thus the function tx t satisfying the integral equation x 1 x f f s x s ds for all t te b 1 b dx 0 f f s x s ds f t X 1 dt This now proves that the curve X 1 8 4 82 thus obtained is a solution of the initial value problem

Write the expression in standard form 11 5i 1 i 11 5i 1 i

Write the radical as a pure imaginary number 75 75 Simplify your answer Type an exact answer using radicals as needed Express

rite the expression as a complex number in standard form 6 9 3 9 3

4 5i 2 5i 4 5i 2 5i Simplify your answer Type your answer in the form a bi Type an exact answer using rac

Ive the following quadratic equation using the Square Root Property q 6 20 4 e solution set is

Click here to watch the video Divide 8 i 7i 8 i 73

Perform the indicated operation 2 4i 2 4i The answer is

Perform the indicated operation and simplify Write the answer in the form a bi 2 4i 5 4i 2 4i 5 4i CO IC

16 36

Write the expression as a complex number in standard form 2 25

Click here to watch the video Find the conjugate of the complex number 2 5i The conjugate of the complex number is

7 5i 5 4i 7 5i 5 4i Simplify your answer Tyne vo nswer in the form at your ans

Click here to watch the video Multiply 2 6i 5 4i 2 6i 5 4i

lick here to watch the video dd 4 2i 9 3i 4 2i 9 3i

Write the expression as a complex number in standard for 9 245 9 245 Simplify your answer Type your answer in the form a bi

Write the radical as a pure imaginary number 294 294

5 Solve the formula P 21 2w for w O A w 2P 21 OB w 2P 21 P 21 2 OC W OD W P 21 2

Fill in the blanks below so that the resulting statement is true If there is at least one edge connecting two vertices in a graph the vertices are called connecting them is called a If this sequence of vertices and connecting edges begins and ends at the same vertex it is called a A sequence of such vertices and the edges If there is at least one edge connecting two vertices in a graph the vertices are called connecting them is called a If this sequence of vertices and connecting edge A sequence of such vertices and the ed e same vertex it is called a connected equivalent

2 A ball was thrown vertically upward from the balcony of an apartment building The ball falls to the ground The height of the ball h metres above the ground after t seconds is given by the function h t 5t 15t 45 a Determine the m ximum height of the ball h t 57 15 45 5 1 3 45 5 T 3 00 45 5 T 3 0 5 1 25 45 5 1 0 5 1 46 25 2 b How long does it take the ball to reach its m ximum height 57 955 46 25 d How long after it was thrown will the ball be at 49 m high c How high is the balcony e Determine the domain and range of this function

graph has 56 even vertices and eight odd vertices Determine whether the graph has an Euler path but not an Euler circuit an Euler circuit or neither an Euler path nor an Euler circuit and explain why The described graph has an Euler circuit an Euler path but not an Euler circuit neither an Euler path nor an Euler circuit By Euler s theorem this is because the graph has more even vertices than odd vertices OOO more than two odd vertices more than two even vertices HI

1 The cost per book C in dollars when a school orders yearbooks is modelled by C n 0 000 05n 0 095n 66 125 where n is the number of books ordered How many yearbooks does a school have to order to have the least cost per book What is the least cost 950 yearbooks at 21 per book per book C n 0 00005 0 095 n 66 125 2

10 7 3x 9 7

Find the intercepts of the equation x 9y What are the intercepts Type an ordered pair Use a comma to separate answers as neede

TOTT Answer 0 10 Correct The lifting force F exerted on an airplane wing varies jointly as the area A of the wing s surface and the square of the plane s velocity v The lift of a wing with an area of 270 square feet is 3 600 pounds when the plane is going at 90 miles per hour Find the lifting force if the speed is 230 miles per hour Round your answer to the nearest integer if necessary Keypad Keyboard Shortcuts

Find the intercepts of the graph displayed at the right Find the intercept s Select the correct choice below and if necessary fill in the answer box to complete your choice OA The intercept s is are Type an ordered pair Use a comma to separate answers as needed OB There are no intercepts 4 2 4 2 2

Suppose that y varies directly as the 4th power of x and that y 4 when t 7 What is y when x 5 Round your answer to two decimal places if necessary Answer BER Keyboard

Graph the linear equation 4x 5y 40 by finding its intercepts Step by Step Solution Step 1 Find the y intercept by letting x 0 and solving the equation for y 4x 5y 40 4 0 5y 40 0 5y 40 5y 40 y Let x 0 Divide both sides by 5

Use graphing technology to approximate the solutions of the equation Round your answers to the nearest tenth x 4x 3 x 3 1 X X

A function f x 3 is transformed into the function g x 5 32 2 6 Choose the transformations that occurred Choose all that apply Vertical Stretch Vertical Shift Up X axis Reflection Horizontal Shift Left Vertical Shift Down Vertical Compression Horizontal Shift Right

Suppose that y is inversely proportional to the cube of x and that y 18 whenx 20 What is y when x 5 Round your answer to two decimal places if necessary nswer y Keypa Keyboard Short

What is the range of the function f x 2 1 The set of real numbers greater than 0 The set of real numbers greater than 1 The set of real numbers less than 1 The set of real numbers less than 0

10 110 Step 1 of 3 Identify the general shape and direction of the graph of this function on the interval 2 nswer p x Ay x if x 2 y x

Suppose that y varies inversely as the 4th power of x and that y 25 when x 8 What is y when x 5 Round your answer to two decimal places if necessary Answer Correct y 2 Weypac Keyboard Shortcu

Name the y intercept of f x 2 3 4 O 0 6 O O 0 10 No y intercept 0 4

Which of the following represent Exponential Growth Choose all that apply y 4 2 y 5 y 52 y

Use Fleury s Algorithm to find an Euler path Write an Euler path starting at A Use a comma to separate vertices as needed LL F E O B

Use the equation to complete the table Use the table to list some of the ordered pairs that satisfy the equation x 5y 8 0 1 y 2 x y X 1 2 y 2 x y

Identify all edges on the graph that are bridges The edges are bridges to reparate answers as needed B

Use Vertices to describe a path from vertex A to vertex I passing through vertices B and H as well as through the loop Choose the correct answer below OA A B D F F G I OB A B C D E F F G H I OC A B D F F G H I OD A B D F G H I OE A B D F G I OF A B C D E G H I B D H

Use Fleury s Algorithm to find an Euler path CDDB A BECA C There are several Euler paths Choose the correct answer below OA AC A B C D D B E C OB CA B D D C E OC AC A B C D D B E C A E D WWW

Determine whether or not the equation is a linear equation in two variables 5x y 1 Only use the numbers from the given linear equation Select the correct choice below and if necessary fill in the boxes to complete your choice O A Yes the given equation is a linear equation in two variables It can be written in the form Ax By C whe A and C B OB No the given equation is not a linear equation in two variables It cannot be written in the form Ax By