Quadratic equations Questions and Answers

Find two irrational numbers between each pair of real numbers a 1 7 3 and 5 VI and V4 5 and 5 OV3 and 3 3 and 5 b 3 10 4 O and 25 and 3 O and O and O c Vand 17 5 9 25 0 12 0 8 0 2 and 0 2 V0 1 and 0 2

Solve each equation Show your work and justify each step a 4x 3 19 4x 3 3 19 4x c 4 4 X b 7d 1 20 7d 1 1 20 7d 7d 7 4 4 16 21 10 8 m 10 8 8 Select Simplify Select Simplify Select Simplify Select Simplify M Select Simplify Selecio

Syphilis Google Docs b Simplify the expression if possible If It can not be simplified enter the original expression 0 6 Determine whether the number is rational or irrational The number is rational The number is irrational c Simplify the expression if possible If it can not be simplified enter the original expression 7 Determine whether the number is rational or irrational The number is rational The number is irrational d Simplify the expression if possible If it can not be simplified enter the original expression 81 Determine whether the number is rational or irrational The number is rational The number is irrational e Simplify the expression if possible If it can not be simplified enter the original expression 4 7 MAT 320 Online Module 8 Hot

a Simplify the expression if possible If it can not be simplified enter the original expression 1 2 Determine whether the number is rational or irrational The number is rational The number is irrational b Simplify the expression if possible If it can not be simplified enter the original expression 0 6 Determine whether the number is rational or irrational The number is rational The number is irrational c Simplify the expression if possible If it can not be simplified enter the original expression 7 Determine whether the number is rational or irrational The number is rational

Solve each equation Show your work and justify each step a s 11 13 s 11 11 13 5 b x 6 5 3 x 6 d 8z 8 c 12 6 6 2 S 11 X 8z 120 y e 5 25 3 5 t 5 25 3 5 3 5 120 t 1 12 Select Simplify t Select Simplify Select Simplify Select Simplify Select Simplify C

Find the additive and multiplicative inverses of each rational number a 5 additive inverse multiplicative inverse 9 b 10 additive inverse multiplicative inverse c 19 8 additive inverse multiplicative inverse 1 15 additive inverse d multiplicative inverse

Use cross products to determine whether the rational numbers are equal 6 a and 28 24 Since the products are equal the rational numbers are equal Since the products are equal the rational numbers are not equal Since the products are not equal the rational numbers are equal Since the products are not equal the rational numbers are not equal 7 b 33 and 18 Since the products are equal the rational numbers are equal Since the products are equal the rational numbers are not equal Since the products are not equal the rational numbers are equal Since the products are not equal the rational numbers are not equal 5 25 30 c 65 O Since the products are equal the rational numbers are equal 24 and 52 Since the products are equal the rational numbers are not equal Since the products are not equal the rational numbers are equal Since the products are not equal the rational numbers are not equal 33 and 55 11 Since the products are equal the rational numbers are equal

Identify the rational numbers on the number line DSC a b d b 0 1 d 2

Consider the following functions f x x 3 and g x Step 1 of 2 Find the formula for f g x and simplify your answer Answer 2 Points f g x

Consider the following functions Step 1 of 4 Find f g 3 AnswerHow to enter your answer opens in new window 2 Points f 3 6 and g 3 6 f g 3

ladley puts 300 in a savings account earning 1 annual interest and 300 in an investment account that averages 5 annual returns The graph below shows the balance in those accounts over 20 years The dashed line reflects the change in price of a 300 item due to 2 annual inflation 850 800 750 700 650 600 550 500 450 400 350 300 250 200 150 100 50 Investments Price of 300 tem Savings 13 14 14 15 16 17 18 19 20 years a Approximately how much has Hadley s initial investment grown over 20 years Include both the dollar value and percent change return on investment

What is the average rate of change of f x from X 1 Answer 2 Points X2 4 7 Please write your answer rounded to the nearest hundredth f x 6 7x 4 Keyp Keyboard Short

Consider the following function on the given domain H x x 4 5 x 4 Step 1 of 2 Find a formula for the inverse of the function on the given domain If it is not possible write NP for your answer Answer 2 Points H x

Consider the following graph of two functions Step 4 of 4 Find 1 2 2 f 2 Enable Zoom Par X

Question 19 Consider the following graph of two functions Step 3 of 4 Find f g 1 2 y f q Enable Zoom Pan X

Step 1 of 2 If we ignore air resistance a falling body will fall 16t2 feet in t seconds How far will it fall between t 2 and t 2 3 Answer 2 Points ft Ker

q x x 4 3 x 4 Step 1 of 2 Find a formula for the inverse of the function on the given domain if possible AnswerHow to enter your answer opens in new window 2 Points Key Selecting a radio button will replace the entered answer value s with the radio button value If the radio button is not selected the ente used q x O does not have an inverse function

Consider the following function on the given domain q x x 4 3 x 4 Step 2 of 2 Find the domain of the inverse function q x Express your answer as an inequality Answer 2 Points

In an area of the Midwest records were kept on the relationship between the rainfall in inches and the yield of wheat bushels per acre Which is the best predicted value for y given x 7 1 Assume that the variables x and y have a significant correlation Rain fall in inches x 10 5 8 8 13 4 125 188 103 7 0 15 6 16 0 Yield bushels per acre y 50 5 46 2 58 8 59 0 824 19 2 31 9 76 0 78 8 35 4 35 2 35 7 359

X E 0 NZQR C CSC X T b AI 0 a Av csc 1 sec cot 1 sec cot 1 g x h x f x 1 2x 1

nswer g x g x g x nor n x is solely X h x 11 f x 1 2x 1

all equal the line 4 2 The equation is y 5x 5 Type your answer in point slope form Use integers or simplified fractions for any numbers in the equation 6 6 Ay

Find the slope of the line containing the pair of points 11 10 and 7 7 The slope of the line is Simplify your answer Type an integer or a fraction

Write the following quadratic functions in vertex form identify the vertex find its roots graph and determine the domain and range of the function 8 f x x 2x 8 Vertex

Find the vertex of the following quadratic functions 1 x x 6 7 2 x x 1 2 3 f x x 97

Graph the linear equation using the slope and y intercept y 2x 5 Graph the equation Click to enlarge graph KILD 10 8 6 b 10 8 6 2 6 8

Evaluate the Cauchy principal value of the given improper integral 9x 14 x 2x 2 x 1 dx

For the figure shown on the right find the value of the variable and the measures of the angles X m P mZQ m R P 2x 14 x 54

Lines and 2 are parallel lines Determine the measures of 1 through 12 m43 m44 m45 O O O 4 3 6 70 9 10 5 64 0 78 11 12 12

a C 44 b d 7 6 3 3 2 1 0 1 7 6 3 3 2 1 01 4 3 2 1 0 T 2 10 e A 7 6 5 1 m 3 2 x25 3 x 4 4 a 4 or a 6 5 2 x 7 01 graph 34367 7 8 9 10 367

Prove that left side equals the right side with detailed steps in between sin4x cos4 1 2tanx

Manatees can swim in water up to 20 feet deep Write an expression that represents the depth d that a manatee can swim in

Which inequality symbols mean you need to use a closed dot Select all that apply mark all correct answers a b C d

Which inequality matches the graph 434 O a x 4 O b x 4 O c x 4 O d x 4

Isolate O a for the literal equation IR v 1 2 R O b R R O c 1 R d I VR

Isolate for the literal equation M q 3p O a O b q 3Mp C q M 3p O d g M 3p

Solve for v Select all that apply 3 10v 73 mark all correct answers a 7 b 5 c 8 d 5 34 e 38 5

Value Solve for w w 12 O a w 12 O b w 12 O c w 12 and w 12 O d no solution

Solve for v 10 2 a v 8 and v 12 O b v 15 and v 15 O c v 15 O d v 8 and v 8

Which of the following are the missing steps to complete the equation when solving for x 2x6 4 x 2 2x6 4x 8 x 7 O a The addition of the 4x variable from one side to move the x to one side and the subtraction of 6 to the other side of the equation so x is on one side and the other variable is on the other side of the equal sign O b The multiplication of the 4x variable from one side to move the x to one side and the adding of 6 to the other side of the equation so x is on one side and the other variable is on the other side of the equal sign Oc The subtraction of the 4x term from one side to move the x to one side and the addition of 6 to the other side of the equation so x is on one side and the other variable is on the other side of the equal sign Od The division of the 4x variable from one side to move the x to one side and the adding of 6 to the other side of the equation so x is on one side and the other variable is on the other side of the equal sign

Solve for b 233 6 3 7b 1 a 10 Ob 3 c 6 O d 13

What is the next step in solving the equation 10x 5 4x 47 for x after we have combined x variables to one side of the equation a Once x variables have been combined we need to combine the constants using opposite operations Ob Once x variables have been combined we need to divide the remaining numbers by our new x variable from combining it in step 1 O c Since we have combined the x variables together we have completed the necessary steps to solve the equation and have the answer Od The problem cannot be solved for x

Value 1 Solve for t 3t 1 t 11 a t 3 O b t 3 c all real number O d no solution

Match the equations with the correct solution a All real numbers b x 2 C x 3 d no solution e x 1 1 3x 4 7x 8 2 2x 7x 5 3 5x 8 5x 12 4 8x 4 2x 16 5 3x 5 3x 5

Noah has collected 50 by selling lemonade and muffins He sold 10 worth of muffins He sold each cup of lemonade for 2 How many cups of lemonade did he sell Choose the correct equation Oa 2x 10 50 b 2x 10 50 c 2x 50 10 Od 10x 2 50

8 The Dakotas rented a minivan for their family vacation When they returned from vacation the total bill for the van was 575 The standard weekly rate from the rental company is 355 plus 55 for each additional day of usage How many additional days did the Dakotas have the minivan 4 days 6 days 5 days 3 days

6 Solve for y Round your answer to the nearest tenth and explain all steps 3 15 4y B 17 i U Font Family

9 Solve for x 3x 7 22 O O O O Ox 2 8 X 12 OX 5 O x 32

4 Solve for x Leave your answer as an improper fraction 5 3x 9 Ox O x 19 O x 1 3 K

1 The first inverse operation you would use to solve the equation 2 5x 8 for x is subtraction True False