Quadratic equations Questions and Answers

Please show ALL necessary work or no credit will be given 1 Find the inverse of the relation 1 0 2 1 3 0 4 2 2 Show steps to find the inverse of the function Is the inverse a function Give a reason for your answe a f x 3x 1 H h g x 1 2 x 5

Simplify the radical expression X20 32 Select one O a x y O b x y O c x 6 28 O d x y

The index is Check Va When there is more than one real root an n is even the nonnegative root is called the

Find all the real cube roots of 64 Write none if there are no real roots Answer Check Find all the real cube roots of 27 216 Write none if there are no real roots Answer Check

3 3 3 3 3 3 Answer Check Write in radical form x 5 Select one a O b O c O d x 5 x 5 x 1 x

2 2 3 18 A 0 C 9 2 B 11 2 D 10 2 4 2 54 3 3 2 3 A 6 6 6 3 B 6 6 8 3 C 6 6 5 3 D 6 6 7 3

2 20 2 2 3 18 A 0 G 9 2 C B 11 2 D 10V 2

9 9 12 8 12 7 22 12 6 A 52 3 7 22 12 6 B 34 3 7 22 12 6 C 52 3 D 52 3 12 6 ware LLC A II 10 10 2 17 4 17 11 12 5 A 6 17 II 12 5 B II 12 5 C 2 17 11 12 5 D II 24 5 rights reser ve d Made with In finite A Igebra 2

O 6 2 3 3 A 2 3 C 4 3 B 0 D 3 8 2 6 2 3 2 3 A 2 6 8 3 B 2 6 2 3 C 2 6 6 3 D 2 6 4 3

1 Add and Sub Radical Expre Simplify 1 13 13 A 2 13 C 4 13 B 5 13 D 3 13 3 54 2 6 3 27 A 4 6 9 3 B 6 9 3 C 6 6

Solve the equations and check your solution It is possible to have NO SOLUTION 3 5x8 3 0 Tyne a response

Here is a triangle Let h b and a represent height base and area 3 cm 12 cm Use the formula a b h to work out the area of the triangle a 2 cm A different triangle has a base of 12 cm and an area of 144 cm What is its height cm 1 1

John is 4 years younger than Bethany Let p represent John s age and let q represent Bethany s age Complete the table using the equation p q 4 P 1 6 58 9 5 26

23 A bacteria colony triples every 8 days If the colony amounts to 5750 bacteria in 35 days how many bacteria was in the colony initially Give your answer to nearest whole number

a Use completing the square to determine the vertex form of the function f x 2x 20x 5 F x 22 202 5 2 2 102 5 262 10x 3 5 1 5 2 2 5 45 VAX 5 45

Given f x x 5 find f 3 b x if f x 1

5a Given the line 4x 5 y is 2 3 a solution Hint An ordered pair contains a value for x and for y 5b Are there other solutions to the equation in 5a If yes list one If not why not

4 If 4x 2y z 10 what is the value of y if x 2 and x 4

8 y 1 2 1 4y 10 Apply the distributive property but do not simplify Write your response here Simplify each side Write your response here Write your response here Write your response here Eliminate the variable from each side Type your answer here Type your answer here This resulting equation is Write your response here Therefore the equation is a n Write your response here The solution set is Write your response here true false contradiction conditional identity all real numbers the empty set

7 Solve applications of linear equations Homework Unanswered Due Today 11 59 PM Fill in the Blanks Type your answers in all of the blanks and submit X S2 According to the Health United States 2016 report by the Center for Disease Control the life expectancy at birth for females f is given by f 0 1139x 76 72 and for males m is m 0 1961x 68 95 where X is the number of years after 1975 a The life expectancy for males and females born in the United States will be the same in approximately Type your answer here years round to the nearest tenth or during the year Type your answer here b In this year the life expectancy rounded to the nearest tenth is approximately Type your answer here

0 04x0 02 1000 x 500 Multiple answers Multiple answers are accepted for this question Select one or more answers and submit For keyboard navigation SHOW MORE a 0 04x200 02x 500 b 0 02 1000 x 500 C d e f B h 0 02x 20 500 0 02x20 500 0 02x 520 0 02x 480 x 26 000 x 24 000

Quick Check 6 of operations Homework Unanswered Due Today 11 59 PM Match each expression with the correct order that we must perform the operations Drag and drop options on the right hand side and submit For keyboard navigation SHOW MORE 4 12 3 1 4 12 3 1 4 12 3 1 Subtract 4 and 12 Subtract 3 and 1 Divide the results Subtract 3 and 1 Divide 12 by that result Subtract from left to right Divide 12 by 3 Then subtract from left to right

Determine if the equation is a conditional equation a contradiction or an identity Then determine the solution set 3d 7 d 6 Multiple answers Multiple answers are accepted for this question Select one or more answers and submit For keyboard navigation SHOW MORE Homework a Conditional equation b C d e Contradiction Identity 2 2

A snow globe is packaged in a cubic container that has a volume of 64 cubic inches A large shipping container is also a cube and its edge length is 8 inches longer than the edge length of the snow globe container How many snow globes can fit into the larger shipping container Hint Find the length of the side of the cubic snow globe container first The length of the container is inches The length of the large shipping container is inches POSSIBLE POINTS 1 snow globes can fit into the larger shipping container Do

Type your answers in all of the blanks and submit X S2 A ride sharing company charges an initial fee of 1 50 plus 0 18 per minute for a car ride How many minutes can a person ride fe 57 a Let X represent the number of minutes of the car ride The equation that represents this situation is Type your answer here Type your answer here b A person can ride Type your answer here X Type your answer here minutes for 5 Round to the nearest tenth

X 2 Write your response here zero equations are equations that have the same solution set These equations are produced when we perform the Write your response here operation on each side of an equation with the exception of multiplication by

If a linear equation is a contradiction what is its solution set Select an answer and submit For keyboard navigation use the up down arrow keys to select an a 195 a b 0

4 y 3 10 8 6 4 2 101 8 6 4 2 466 4 6 8 10 slope Y int 3 2 4 6 8 10

Fill in the blanks with the expression that results when applying the given step to solve the equation Do not insert spaces when entering the expressions in the blanks 20x2 7x 3 3 3 2x 5 Apply the distributive property Do not simplify Write your response here Simplify each side Write your response here Write your response here Solve for X Isolate the variable term to the left side and the constant term to the right side X Type your answer here Write your response here Write your response here Type your answer here

6 Determine if a number is a solution of an equation Homework Unanswered Due Today 11 59 PM Fill in the Blanks Type your answers in all of the blanks and submit X Consider the equation 3 2x 1 6 1 7x When checking if 4 is a solution of the equation the left side of the equation results in the number Type your answer here Therefore the value 4 and the right side of the equation results in the number Write your response here Type your answer here is or is not a solution of the equation

Homework Unanswered Due Today 11 59 PM Match each equation with the correct word that describes it Draga response in the right column up or down until it aligns with the correct match from the left column and drop it Drag and drop options on the right hand side and submit For keyboard navigation SHOW MORE 4 6 2x 3 8 4 3x 7 2 4 6 2x 3 8 4 2x 7 2 4 6 2x 3 8 4 3x 7 2 III E Conditional equation Identity Contradiction

When solving an equation you correctly determine that x 2 What is the correct form of the solution set of the equation Select an answer and submit For keyboard navigation use the up down arrow keys to select an answer a b x 2 x 2 C 2 d 2 Unanswered Submit This inve plu rec A Wh tha the The tha Bal

3 satisfies The value 7 12 does not satisfy x 3 x 9 because it x 3 x 9 and x 3 x 9 www is an extraneous solution of the equation the equation the original equation

2 The expression p p q q p q can be rewritten in the form p g p q What is the value of m Enter your answer in the box

Match the image to the scale factor from FC to F G Image 1 Image 2 Image 3 set S Image 4 8 6 LIND N 18 G

73 2 1 3 2 3 3 2 3

kami O X T 14 5 3 y x 2 343 N

Solve 0 3 X 4 5 x 7x 10 X If there is more than one solution separate them with commas 6 2 10 X 7

Solve x 5 2 x 5 1 0 If there is more than one solution separate them with commas X 0 3 1 6 X S

3 f x 4 Find a polynomial f x of degree 3 that has the following zeros 3 2 8 Leave your answer in factored form 8 X

Arrange the steps for solving the inequality in the correct order 6 2x 1 x 3 2 3x 5 Drag and drop options into correct order and submit For keyboard navigation SHOW MORE E 17x 1 11x 9 6x 10 x 1 17 12x 6 x 3 6x 10 17x 9 10

Factor completely 3u 2u 21

Factor completely 2w 22w 48 2

Factor x xy 12y

Factor y 11y 12

Factor by grouping 3v 5v 15v 25

4 5 6 7 8 9 10 1 Solve the equations and check your solution It is possible to have NO SOLUTION 11 0 2 N ype here to search Type a response 4 Solve the equations and check your solution It is possible to have NO SOLUTION x 11 11 20 Type a response C O 72 F Mostly cloudy

Give the center and radius and sketch the graph of each of the following circles 15 x y 4 16 x y 16

Solving Quadratic Equations by Fact Solve each equation by factoring 1 k 1 5 0 3 4k 5 k 1 0 5 x 11x 19 5 7 n 10n 22 2 9 6n 18n 18 6

Using the graph below tell whether each statement is true or false 4 2 The vertex is at 0 4 3 The function has one solution 4 1 The function has a maximum at y 4 5 The y intercept is at 0 4 2 6 f z 0 from 2 2 2 4 4 The function is decreasing from 4 5 ty 4 x